How many questions from Chemical Thermodynamics appear in JEE?

Chemical Thermodynamics has appeared in 165 of the last 186 JEE Main and JEE Advanced papers — about 89% of them — contributing 195 questions in total across those papers.

Is Chemical Thermodynamics an important chapter for JEE?

Judged by how often it is actually tested, it appears in roughly 89% of papers. Chapters above about 50% are effectively guaranteed to show up every session, so they repay thorough preparation; lower-frequency chapters are better treated as targeted revision.

Where do these Chemical Thermodynamics questions come from?

Every question is from an official JEE Main or JEE Advanced paper, transcribed from the original paper and tagged to this chapter. Answers follow the official answer key.

Chemical Thermodynamics JEE Previous Year Questions with Answers

Q1·ChemistrySingle correctJEE Advanced 2026

List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy (

\Delta H

) and entropy (

\Delta S

). Match each entry in List-I to the appropriate entry in List-II, and choose the correct option.

List-I	List-II
P.Physisorption	1. $\Delta H > 0$ and $\Delta S > 0$
Q.Diamond ⟶ Graphite	2. $\Delta H < 0$ and $\Delta S < 0$
R.Denaturation of protein	3. $\Delta H < 0$ and $\Delta S = 0$
S.Propene ⟶ Cyclopropane	4. $\Delta H > 0$ and $\Delta S < 0$
	5. $\Delta H < 0$ and $\Delta S > 0$

(A)P → 2; Q → 3; R → 5; S → 4
(B)P → 4; Q → 3; R → 5; S → 1
(C)P → 2; Q → 5; R → 1; S → 4
(D)P → 2; Q → 5; R → 1; S → 3

Q2·ChemistrySingle correctJEE Advanced 2026

An ideal gas (0.5 mol), initially at 2 bar pressure, is compressed at a constant temperature of 600 K in two steps: first, against a constant external pressure of

P

bar (

2 < P < 8

), and then against constant external pressure of 8 bar. At each step, the compression is stopped only when the pressure of the gas becomes equal to the external pressure. The total work done on the gas in these steps is

W

. Considering all possible values of

P

(

2 < P < 8

) and taking the gas constant as

R

(in

\mathrm{J\,K^{-1}\,mol^{-1}}

), the minimum value of

|W|

(in J) is

(A) $207R$
(B) $600R$
(C) $630R$
(D) $900R$

Q3·ChemistryNumericalJEE Main 2026

Consider the reaction

2H_2S(g) + 3O_2(g) \rightarrow 2H_2O(l) + 2SO_2(g)

The magnitude of enthalpy change for the reaction in kJ mol

^{-1}

is __________. (Nearest integer) Given:

\Delta_f H^{\ominus}(H_2S) = -20.1

kJ mol

^{-1}

\Delta_f H^{\ominus}(H_2O) = -286.0

kJ mol

^{-1}

\Delta_f H^{\ominus}(SO_2) = -297.0

kJ mol

^{-1}

Q4·ChemistrySingle correctJEE Main 2026

Match List - I (Isothermal process) with List - II (Expression). Given

V_{1}

and

V_{2}

are initial and final volumes respectively. Choose the correct answer from the options given below :

List - I (Isothermal process)	List - II (Expression)
A.Reversible expansion	I. $q = 0$
B.Free expansion	II. $q = nRT \ln \frac{V_{2}}{V_{1}}$
C.Irreversible Compression	III. $w = -p_{ext}(V_{1} - V_{2})$
D.Cyclic reversible	IV. $\frac{q_{rev}}{T} = 0$

(A)A-II, B-III, C-I, D-IV
(B)A-II, B-I, C-IV, D-III
(C)A-II, B-I, C-III, D-IV
(D)A-I, B-II, C-III, D-IV

Q5·ChemistrySingle correctJEE Main 2026

Arrange the following isothermal processes in order of the magnitude of the work

(p - V)

involved between states 1 and 2. A. Expansion in single stage

w_A

B. Expansion in multi stages

w_B

C. Compression in single stage

w_C

D. Compression in multi stages

w_D

Choose the correct option.

(A) $|w_B| > |w_A| > |w_C| > |w_D|$
(B) $|w_C| > |w_D| > |w_A| > |w_B|$
(C) $|w_C| > |w_D| > |w_B| > |w_A|$
(D) $|w_B| > |w_A| > |w_D| > |w_C|$

Q6·ChemistryNumericalJEE Main 2026

Consider the reaction

X

⇌

Y

at 300 K. If ΔH° and

K

are 28.40 kJ mol⁻¹ and 1.8 × 10⁻⁷ at the same temperature, then the magnitude of ΔS° for the reaction in J K⁻¹ mol⁻¹ is _______. (Nearest integer) (Given: R = 8.3 J K⁻¹ mol⁻¹, ln 10 = 2.3, log 3 = 0.48, log 2 = 0.30)

Q7·ChemistrySingle correctJEE Main 2026

The correct order of molar heat capacities measured at 298 K and 1 bar is :

(A)Copper(s) > Bromine(l) > Helium(g)
(B)Bromine(l) > Copper(s) > Helium(g)
(C)Helium(g) > Bromine(l) > Copper(s)
(D)Helium(g) > Bromine(l) = Copper(s)

Q8·ChemistrySingle correctJEE Main 2026

Consider the following data for the reaction X₂(g) + Y₂(g) ⇌ 2XY(g) at 600 K. The ΔrG° (in kJ mol⁻¹) for the reaction is :

Compound	ΔfH°(600K) (kJ mol⁻¹)	S°(600K) (J mol⁻¹ K⁻¹)
XY(g)	42	200
X₂(g)	8	140
Y₂(g)	80	250

(A)−21000
(B)−10
(C)−1000
(D)−9.012

Q9·ChemistrySingle correctJEE Main 2026

Given below are two statements: Statement I: For an ideal gas, heat capacity at constant volume is always greater than the heat capacity at constant pressure. Statement II: In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas. In the light of the above statements, choose the correct answer from the options given below

(A)Both Statement I and Statement II are true
(B)Both Statement I and Statement II are false
(C)Statement I is true but Statement II is false
(D)Statement I is false but Statement II is true

Q10·ChemistryNumericalJEE Main 2026

If 3.365 g of ethanol (l) is burnt completely in a bomb calorimeter at 298.15 K, the heat produced is 99.472 kJ. The

|\Delta H_{f}^{\circ}|

of ethanol at 298.15 K is ______ ×10

^{2}

kJ mol

^{-1}

. (Nearest integer) Given: Standard enthalpy for combustion of graphite = −393.5 kJ mol

^{-1}

Standard enthalpy of formation of water (l) = −285.8 kJ mol

^{-1}

Molar mass in g mol

^{-1}

of C, H, O are 12, 1 and 16 respectively

Q11·ChemistrySingle correctJEE Main 2026

Gas 'A' undergoes change from state 'X' to state 'Y'. In this process, the heat absorbed and work done by the gas is 10 J and 18 J respectively. Now gas is brought back to state 'X' by another process during which 6 J of heat is evolved. In the reverse process of 'Y' to 'X',

(A)18 J of the work is done by the gas 'A'.
(B)2 J of the work is done by the gas 'A'.
(C)12 J of the work is done on the gas 'A' by the surrounding.
(D)14 J of the work is done on the gas 'A' by the surrounding.

Q12·ChemistryNumericalJEE Main 2026

At the transition temperature

T

,

A\rightleftharpoons B

and

\Delta G^{0}=105-35\log T

where

A

and

B

are two states of substance

X

. The transition temperature in °C when pressure is 1 atm is ________. (Nearest integer)

Q13·ChemistrySingle correctJEE Main 2026

Consider the following data. (i)

2\mathrm{Al}(s) + 6\mathrm{HCl}(aq) \rightarrow \mathrm{Al_{2}Cl_{6}}(aq) + 3\mathrm{H_{2}}(g) + 1200

kJ/mol (ii)

\mathrm{H_{2}}(g) + \mathrm{Cl_{2}}(g) \rightarrow 2\mathrm{HCl}(g) + 164

kJ/mol (iii)

\mathrm{HCl}(g) + aq \rightarrow \mathrm{HCl}(aq) + 83

kJ/mol (iv)

\mathrm{Al_{2}Cl_{6}}(s) + aq \rightarrow \mathrm{Al_{2}Cl_{6}}(aq) + 663

kJ/mol The enthalpy of formation of anhydrous solid

\mathrm{Al_{2}Cl_{6}}

is :

(A)−648 kJ $\mathrm{mol^{-1}}$
(B)−1350 kJ $\mathrm{mol^{-1}}$
(C)−2002 kJ $\mathrm{mol^{-1}}$
(D)−1527 kJ $\mathrm{mol^{-1}}$

Q14·ChemistrySingle correctJEE Main 2026

20.0 dm

^{3}

of an ideal gas 'X' at 600 K and 0.5 MPa undergoes isothermal reversible expansion until pressure of the gas is 0.2 MPa. Which of the following option is correct ? (Given: log 2 = 0.3010 and log 5 = 0.6989)

(A)w = – 9.1 kJ, ΔU = 0, ΔH = 0, q = 9.1 kJ
(B)w = 9.1 J, ΔU = 9.1 J, ΔH = 0; q = 0
(C)w = + 4.1 kJ, ΔU = 0, ΔH = 0; q = – 4.1 kJ
(D)w = – 3.9 kJ, ΔU = 0, ΔH = 0; q = 3.9 kJ

Q15·ChemistrySingle correctJEE Main 2026

The plot of

\log_{10}K

vs

\frac{1}{T}

gives a straight line. The intercept and slope respectively are (where K is equilibrium constant).

(A) $\frac{2.303R}{\Delta H^\circ}$ , $\frac{2.303R}{\Delta S^\circ}$
(B) $\frac{\Delta S^\circ}{2.303R}$ , $-\frac{\Delta H^\circ}{2.303R}$
(C) $-\frac{\Delta S^\circ R}{2.303}$ , $\frac{\Delta H^\circ R}{2.303}$
(D) $-\frac{\Delta H^\circ}{2.303R}$ , $\frac{\Delta S^\circ}{2.303R}$

Q16·ChemistrySingle correctJEE Main 2026

The heat of atomisation of methane and ethane are 'x'

\text{kJ mol}^{-1}

and 'y'

\text{kJ mol}^{-1}

respectively. The longest wavelength (

\lambda

) of light capable of breaking the C-C bond can be expressed in SI unit as :

(A) $\frac{\text{hc}}{1000}\left(\frac{\text{y}-6\text{x}}{4}\right)^{-1}$
(B) $\frac{\text{N}_{\text{A}}\text{hc}}{250(4\text{y}-6\text{x})}$
(C) $\frac{\text{N}_{\text{A}}\text{hc}}{250(\text{y}-6\text{x})}$
(D) $\text{N}_{\text{A}}\text{hc}\left(\text{y}-\frac{6\text{x}}{4}\right)^{-1}$

Q17·ChemistrySingle correctJEE Main 2026

Match the List-I (Isothermal process for ideal gas system) with List-II Work done (

V_f > V_i

) Choose the correct answer from the options given below :

List-I (Isothermal process for ideal gas system)	List-II Work done ($V_f > V_i$)
A.Reversible expansion	I. $w = 0$
B.Free expansion	II. $w = -nRT \ln \frac{V_f}{V_i}$
C.Irreversible expansion	III. $w = -p_{ex} (V_f - V_i)$
D.Irreversible compression	IV. $w = -p_{ex} (V_i - V_f)$

(A)A-IV, B-I, C-III, D-II
(B)A-IV, B-II, C-III, D-I
(C)A-I, B-III, C-II, D-IV
(D)A-II, B-I, C-III, D-IV

Q18·ChemistrySingle correctJEE Main 2026

A cup of water at 5

^\circ

C (system) is placed in a microwave oven and the oven is turned on for one minute during which, the water begins to boil. Which of the following option is true ?

(A)q = +ve, w = 0, $\Delta$ U = -ve
(B)q = +ve, w = -ve, $\Delta$ U = +ve
(C)q = -ve, w = -ve, $\Delta$ U = -ve
(D)q = +ve, w = -ve, $\Delta$ U = -ve

Q19·ChemistrySingle correctJEE Main 2026

Match the LIST-I (Thermodynamic Process) with LIST-II (Magnitude in kJ) Choose the correct answer from the option given below :

List-I (Thermodynamic Process)	List-II (Magnitude in kJ)
A.Work done in reversible, isothermal expansion of 2 mol of ideal gas from 2 dm $^3$ to 20 dm $^3$ at 300 K.	I.4
B.Work done in irreversible isothermal expansion of 1 mol ideal gas from 1 m $^3$ to 3 m $^3$ at 300 K against A constant pressure of 3kPa.	II.11.5
C.Change in internal energy for adiabatic expansion of a 1 mol ideal gas with change of temperature = 320 K and $\overline{C}_V = \frac{3}{2}R$ .	III.6
D.Change in enthalpy at constant pressure of 1 mole ideal gas with change of temperature = 337 K and $\overline{C}_P = \frac{5}{2}R$ .	IV.7

(A)A-III, B-II, C-IV, D-I
(B)A-II, B-III, C-I, D-IV
(C)A-I, B-II, C-III, D-IV
(D)A-II, B-I, C-III, D-IV

Q20·ChemistryNumericalJEE Main 2026

If the enthalpy of sublimation of Li is 155 kJ

mol^{-1}

, enthalpy of dissociation of

F_{2}

is 150 kJ

mol^{-1}

, ionization enthalpy of Li is 520 kJ

mol^{-1}

, electron gain enthalpy of F is

-313

kJ

mol^{-1}

, standard enthalpy of formation of LiF is

-594

kJ

mol^{-1}

. The magnitude of lattice enthalpy of LiF is _________ kJ

mol^{-1}

(Nearest integer).

Q21·ChemistrySingle correctJEE Main 2026

Which of the following graphs between pressure ‘P’ versus volume ‘V’ represent the maximum work done ?

(A)(1)
(B)(2)
(C)(3)
(D)(4)

Q22·ChemistrySingle correctJEE Main 2026

For the reaction, N

_2

O

_4

⇌ 2NO

_2

, graph is plotted as shown below. Identify correct statements. A. Standard free energy change for the reaction is –5.40 kJ mol

^{-1}

. B. As AG

^{\ominus}

in graph is positive, N

_2

O

_4

will not dissociate into NO

_2

at all. C. Reverse reaction will go to completion. D. When 1 mole of N

_2

O

_4

changes into equilibrium mixture, value of ΔG

^{\ominus}

= –0.84 kJ mol

^{-1}

E. When 2 mole of NO

_2

, changes into equilibrium mixture, ΔG

^{\ominus}

for equilibrium mixture is –6.24 kJ mol

^{-1}

. E. When 2 mole of NO

_2

, changes into equilibrium mixture, ΔG

^{\ominus}

for equilibrium mixture is –6.24 kJ mol

^{-1}

. Choose the correct answer from the options given below :

(A)D and E only
(B)C and E only
(C)A and D only
(D)B and C only

Q23·ChemistrySingle correctJEE Main 2026

Consider the following data:

\Delta_{\text{f}}\text{H}^{\ominus}

(methane, g) =

-\text{X kJ mol}^{-1}

Enthalpy of sublimation of graphite =

\text{Y kJ mol}^{-1}

Dissociation enthalpy of

\text{H}_{2}

=

\text{Z kJ mol}^{-1}

The bond enthalpy of C

-

H bond is given by:

(A) $\frac{\text{X} + \text{Y} + 2\text{Z}}{4}$
(B) $\frac{\text{X} + \text{Y} + 4\text{Z}}{2}$
(C) $\text{X} + \text{Y} + \text{Z}$
(D) $\frac{-\text{X} + \text{Y} + \text{Z}}{4}$

Q24·ChemistryNumericalJEE Main 2026

Use the following data : One mole each of A

_2

(g) and B

_2

(g) are taken in a 1L closed flask and allowed to establish the equilibrium at 500K. A

_2

(g) + B

_2

(g) ⇌ 2AB(g) The value of x (in kJ mol

^{-1}

) is ……….. (Nearest integer) (Given: log K=2.2 R=8.3 JK

^{-1}

mol

^{-1}

)

Substance	$\Delta_f$ H $^{\ominus}$ (500K) / kJ mol $^{-1}$	S $^{\ominus}$ (500K) / J K $^{-1}$ mol $^{-1}$
AB(g)	32	222
A $_2$ (g)	6	146
B $_2$ (g)	X	280

Q25·ChemistryNumericalJEE Advanced 2025

Considering ideal gas behavior, the expansion work done (in kJ) when 144 g of water is electrolyzed completely under constant pressure at 300 K is ______. Use: Universal gas constant (R) = 8.3 J

K^{-1}

mol^{-1}

; Atomic mass (in amu) : H = 1, O = 16

Q26·ChemistrySingle correctJEE Main 2025

The correct statement amongst the following is:

(A)The term 'standard state' implies that the temperature is $0^\circ$ C
(B)The standard state of pure gas is the pure gas at a pressure of 1 bar and temperature 273 K
(C) $\Delta_f H^{\ominus}_{298}$ is zero for O(g)
(D) $\Delta_f H^{\ominus}_{500}$ is zero for $O_2$ (g)

Q27·ChemistrySingle correctJEE Main 2025

The hydration energies of

K^+

and

Cl^-

are

-x

and

-y

kJ/mol respectively. If lattice energy of KCl is

-z

kJ/mol, then the heat of solution of KCl is:

(A) $+x-y-z$
(B) $x+y+z$
(C) $z-(x+y)$
(D) $-z-(x+y)$

Q28·ChemistrySingle correctJEE Main 2025

Total enthalpy change for freezing of 1 mol of water at

10^\circ

C to ice at

-10^\circ

C is ______. (Given:

\Delta_{fus}H=x

kJ/mol,

C_p[H_2O(l)]=y

J mol

^{-1}

K

^{-1}

,

C_p[H_2O(s)]=z

J mol

^{-1}

K

^{-1}

)

(A) $-x-10y-10z$
(B) $-10(100x+y+z)$
(C) $10(100x+y+z)$
(D) $x-10y-10z$

Q29·ChemistrySingle correctJEE Main 2025

Consider the given data: (a)

HCl(g) + 10H_2O(l) \rightarrow HCl.10H_2O

,

\Delta H = -69.01\ kJ\,mol^{-1}

; (b)

HCl(g) + 40H_2O(l) \rightarrow HCl.40H_2O

,

\Delta H = -72.79\ kJ\,mol^{-1}

. Choose the correct statement:

(A)Dissolution of gas in water is an endothermic process
(B)The heat of solution depends on the amount of solvent.
(C)The heat of dilution for the $HCl.10H_2O$ to $HCl.40H_2O$ is $3.78\ kJ\,mol^{-1}$ .
(D)The heat of formation of HCl solution is represented by both (a) and (b)

Q30·ChemistrySingle correctJEE Main 2025

Let us consider a reversible reaction at temperature, T. In this reaction, both

\Delta H

and

\Delta S

were observed to have positive values. If the equilibrium temperature is

T_e

, then the reaction becomes spontaneous at:

(A) $T=T_e$
(B) $T_e>T$
(C) $T>T_e$
(D) $T_e=5T$

Q31·ChemistrySingle correctJEE Main 2025

One mole of an ideal gas expands isothermally and reversibly from 10 dm

^3

to 20 dm

^3

at 300 K.

\Delta U

,

q

and work done in the process respectively are: (Given:

R=8.3

JK

^{-1}

mol

^{-1}

,

\ln 10=2.3

,

\log 2=0.30

,

\log 3=0.48

)

(A)0, 21.84 kJ, $-1.26$ kJ
(B)0, $-17.18$ kJ, 1.718 J
(C)0, 21.84 kJ, 21.84 kJ
(D)0, 1.718 kJ, $-1.718$ kJ

Q32·ChemistryIntegerJEE Main 2025

A sample of n-octane (1.14 g) was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is 5 kJ K

^{-1}

. As a result of combustion reaction, the temperature of the calorimeter is increased by 5 K. The magnitude of the heat of combustion of octane at constant volume is __________ kJ mol

^{-1}

(nearest integer).

Q33·ChemistryIntegerJEE Main 2025

A perfect gas (0.1 mol) having

\overline{C_v}=1.50\,R

(independent of temperature) undergoes the transformation shown in the following P-V diagram from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is

(-)

__________ J (nearest integer). [Given: R = 0.082 L atm K

^{-1}

mol

^{-1}

]

Q34·ChemistryIntegerJEE Main 2025

Given:

\Delta H^\circ_{sub}[C(\text{graphite})]=710

kJ mol

^{-1}

,

\Delta_{C\text{-}H}H^\circ=414

kJ mol

^{-1}

,

\Delta_{H\text{-}H}H^\circ=436

kJ mol

^{-1}

,

\Delta_{C\text{=}C}H^\circ=611

kJ mol

^{-1}

. The

\Delta H^\circ_f

for

CH_2{=}CH_2

is __________ kJ mol

^{-1}

. (nearest integer value)

Q35·ChemistrySingle correctJEE Main 2025

Given below are two statements: Statement I: When a system containing ice in equilibrium with water (liquid) is heated, heat is absorbed by the system and there is no change in the temperature of the system until whole ice gets melted. Statement II: At melting point of ice, there is absorption of heat in order to overcome intermolecular forces of attraction within the molecules of water in ice and kinetic energy of molecules is not increased at melting point. In the light of the above statements, choose the correct answer from the options given below:

(A)Statement I is true but Statement II is false
(B)Both Statement I and Statement II are false
(C)Both Statement I and Statement II are true
(D)Statement I is false but Statement II is true

Q36·ChemistrySingle correctJEE Main 2025

Which of the following graphs correctly represents the variation of thermodynamic properties of Haber's process?

(A)(1)
(B)(2)
(C)(3)
(D)(4)

Q37·ChemistrySingle correctJEE Main 2025

Arrange the following in order of magnitude of work done by the system / on the system at constant temperature: (a)

|W_{reversible}|

for expansion in infinite stage. (b)

|W_{irreversible}|

for expansion in single stage. (c)

|W_{reversible}|

for compression in infinite stage. (d)

|W_{irreversible}|

for compression in single stage. Choose the correct answer from the options given below:

(A) $a>b>c>d$
(B) $d>c>a>b$
(C) $c>a>d>b$
(D) $a>c>b>d$

Q38·ChemistrySingle correctJEE Main 2025

Two vessels A and B are connected via a stopcock. The vessel A is filled with a gas at a certain pressure. The vessel B is empty and is allowed to come to thermal equilibrium with water and no change in temperature is observed in the thermometer. After opening the stopcock the gas from vessel A expands into vessel B and no change in temperature is observed. Which of the following statement is true?

(A) $dw\ne0$
(B) $dq\ne0$
(C) $dU\ne0$
(D)The pressure in the vessel B before opening the stopcock is zero.

Q39·ChemistrySingle correctJEE Main 2025

If

C(\text{diamond})\rightarrow C(\text{graphite})+X

kJ mol⁻¹;

C(\text{diamond})+O_2(g)\rightarrow CO_2(g)+Y

kJ mol⁻¹;

C(\text{graphite})+O_2(g)\rightarrow CO_2(g)+Z

kJ mol⁻¹. At constant temperature, then

(A)X = Y + Z
(B)X = Y − Z
(C)X = Z − Y
(D)X = Y = Z

Q40·ChemistryIntegerJEE Main 2025

Consider the following data: Heat of formation of CO

_2

(g) =

-393.5

kJ mol

^{-1}

, Heat of formation of H

_2

O(

\ell

) =

-286.0

kJ mol

^{-1}

, Heat of combustion of benzene =

-3267.0

kJ mol

^{-1}

. The heat of formation of benzene is ______ kJ mol

^{-1}

. (Nearest integer)

Q41·ChemistryIntegerJEE Main 2025

The formation enthalpies,

\Delta H^\circ_f

for H

_{(g)}

and O

_{(g)}

are 220.0 and 250.0 kJ mol

^{-1}

, respectively, at the same temperature. The average bond enthalpy of the O-H bond in water at 298.15 K is _____ kJ mol

^{-1}

(nearest integer).

Q42·ChemistrySingle correctJEE Main 2025

An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path A

\to

B

\to

C

\to

D

\to

A as shown in the three cases above. Choose the correct option regarding

\Delta U

.

(A) $\Delta U$ (Case-III) > $\Delta U$ (Case-II) > $\Delta U$ (Case-I)
(B) $\Delta U$ (Case-I) > $\Delta U$ (Case-II) > $\Delta U$ (Case-III)
(C) $\Delta U$ (Case-I) > $\Delta U$ (Case-III) > $\Delta U$ (Case-II)
(D) $\Delta U$ (Case-I) = $\Delta U$ (Case-II) = $\Delta U$ (Case-III)

Q43·ChemistrySingle correctJEE Main 2025

S(g)+\dfrac{3}{2}O_2(g)\to SO_3(g)+2x

kcal;

SO_2(g)+\dfrac{1}{2}O_2(g)\to SO_3(g)+y

kcal. The heat of formation of

SO_2(g)

is given by :

(A) $\dfrac{2x}{y}$ kcal
(B) $y-2x$ kcal
(C) $2x+y$ kcal
(D) $x+y$ kcal

Q44·ChemistryIntegerJEE Main 2025

Standard entropies of X₂, Y₂ and XY₅ are 70, 50 and 110 J K⁻¹ mol⁻¹ respectively. The temperature in Kelvin at which the reaction

\dfrac{1}{2}X_2+\dfrac{5}{2}Y_2\to XY_5

,

\Delta H^-=-35

kJ mol⁻¹, will be at equilibrium is _______ (Nearest integer)

Q45·ChemistrySingle correctJEE Main 2025

Which of the following mixing of 1M base and 1M acid leads to the largest increase in temperature?

(A)30 mL HCl and 30 mL NaOH
(B)30 mL $CH_3COOH$ and 30 mL NaOH
(C)50 mL HCl and 20 mL NaOH
(D)45 mL $CH_3COOH$ and 25 mL NaOH

Q46·ChemistrySingle correctJEE Main 2025

Let us consider an endothermic reaction which is non-spontaneous at the freezing point of water. However, the reaction is spontaneous at boiling point of water. Choose the correct option.

(A)Both ΔH and ΔS are (+ve)
(B)ΔH is (−ve) but ΔS is (+ve)
(C)ΔH is (+ve) but ΔS is (−ve)
(D)Both ΔH and ΔS are (−ve)

Q47·ChemistryIntegerJEE Main 2025

The bond dissociation enthalpy of

X_2

,

\Delta H^\circ_{bond}

calculated from the given data is __________ kJ mol

^{-1}

. (Nearest integer) Given:

M^+X^-(s)\to M^+(g)+X^-(g)

,

\Delta H^\circ_{lattice}=800

kJ mol

^{-1}

;

M(s)\to M(g)

,

\Delta H^\circ_{sub}=100

kJ mol

^{-1}

;

M(g)\to M^+(g)+e^-(g)

,

\Delta H^\circ_{IE}=500

kJ mol

^{-1}

;

X(g)+e^-(g)\to X^-(g)

,

\Delta H^\circ_{eg}=-300

kJ mol

^{-1}

;

M(s)+\tfrac12 X_2(g)\to M^+X^-(s)

,

\Delta H^\circ_f=-400

kJ mol

^{-1}

. [

M^+X^-

is a pure ionic compound and X forms a diatomic molecule

X_2

in gaseous state.]

Q48·ChemistrySingle correctJEE Main 2025

The effect of temperature on spontaneity of reactions are represented as: (A)

\Delta H=+,\ \Delta S=-

, any T

\to

Non-spontaneous; (B)

\Delta H=+,\ \Delta S=+

, low T

\to

spontaneous; (C)

\Delta H=-,\ \Delta S=-

, low T

\to

Non-spontaneous; (D)

\Delta H=-,\ \Delta S=+

, any T

\to

spontaneous.

(A)(A), (B) and (D) only
(B)(A) and (D) only
(C)(B) and (C) only
(D)(D) and (C) only

Q49·ChemistryIntegerJEE Main 2025

The standard enthalpy and standard entropy of decomposition of N₂O₄ to NO₂ are 55.0 kJ/mol and 175.0 J/K/mol respectively. The standard free energy change for this reaction at 25°C in J mol

^{-1}

is _______ (Nearest integer)

Q50·ChemistrySingle correctJEE Main 2025

Ice at −5°C is heated to become vapor with temperature of 110°C at atmospheric pressure. The entropy change associated with this process can be obtained from :

(A) $\int_{268}^{383}C_p\,dT+\dfrac{\Delta H_{melting}}{273}+\dfrac{\Delta H_{boiling}}{373}$
(B) $\int_{268}^{273}\dfrac{C_{p,m}}{T}dT+\dfrac{\Delta H_{m,fusion}}{T_f}+\int_{273}^{373}\dfrac{C_{p,m}}{T}dT+\dfrac{\Delta H_{m,vaporisation}}{T_b}+\int_{373}^{383}\dfrac{C_{p,m}}{T}dT$
(C) $\int_{268}^{383}C_p\,dT+\dfrac{q_{rev}}{T}$
(D) $\int_{268}^{273}C_{p,m}\,dT+\dfrac{\Delta H_{m,fusion}}{T_f}+\dfrac{\Delta H_{m,vaporisation}}{T_b}+\int_{273}^{373}C_{p,m}\,dT+\int_{373}^{383}C_{p,m}\,dT$

Q51·ChemistryIntegerJEE Main 2025

Consider the following cases of standard enthalpy of reaction (

\Delta H^\circ_r

in kJ mol

^{-1}

):

C_2H_6(g)+\frac{7}{2}O_2(g)\to 2CO_2(g)+3H_2O(\ell)

,

\Delta H^\circ_1=-1550

;

C(graphite)+O_2(g)\to CO_2(g)

,

\Delta H^\circ_2=-393.5

;

H_2(g)+\frac{1}{2}O_2(g)\to H_2O(\ell)

,

\Delta H^\circ_3=-286

. The magnitude of

\Delta H^\circ_f

of

C_2H_6(g)

is ______ kJ mol

^{-1}

. (Nearest integer)

Q52·ChemistrySingle correctJEE Main 2025

Match List-I (Partial Derivative) with List-II (Thermodynamic Quantity). Choose the correct answer from the options given below:

List-I (Partial Derivative)	List-II (Thermodynamic Quantity)
A. $\left(\frac{\partial G}{\partial T}\right)_P$	I. $C_P$
B. $\left(\frac{\partial H}{\partial T}\right)_P$	II. $-S$
C. $\left(\frac{\partial G}{\partial P}\right)_T$	III. $C_V$
D. $\left(\frac{\partial U}{\partial T}\right)_V$	IV.V

(A)(A)-(II), (B)-(I), (C)-(III), (D)-(IV)
(B)(A)-(II), (B)-(I), (C)-(IV), (D)-(III)
(C)(A)-(I), (B)-(II), (C)-(IV), (D)-(III)
(D)(A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Q53·ChemistrySingle correctJEE Main 2025

A liquid kept inside a thermally insulated closed vessel at 25°C is mechanically stirred from outside. What is the correct option for the following thermodynamic parameters?

(A)ΔU > 0, q = 0, w > 0
(B)ΔU = 0, q = 0, w = 0
(C)ΔU > 0, q = 0, w < 0
(D)ΔU < 0, q = 0, w > 0

Q54·ChemistryIntegerJEE Advanced 2024

Consider the following volume – temperature (V – T) diagram for the expansion of 5 moles of an ideal monoatomic gas. Consider only P – V work is involved, the total change in enthalpy (in Joule) for the transformation of state in the sequence

\mathbf{X} \to \mathbf{Y} \to \mathbf{Z}

is __________. [Use the given data: Molar heat capacity of the gas for the given temperature range, C

_{v, m}

= 12 J K

^{-1}

mol

^{-1}

and gas constant, R = 8.3 J K

^{-1}

mol

^{-1}

]

Q55·ChemistryNumericalJEE Main 2024

When

\Delta H_{vap}=30

kJ/mol and

\Delta S_{vap}=75

J mol

^{-1}

K

^{-1}

, then the temperature of vapour, at one atmosphere is _______ K.

Q56·ChemistryNumericalJEE Main 2024

The heat of solution of anhydrous

CuSO_4

and

CuSO_4\cdot 5H_2O

are

-70

kJ

mol^{-1}

and

+12

kJ

mol^{-1}

respectively. The heat of hydration of

CuSO_4

to

CuSO_4\cdot 5H_2O

is

-x

kJ. The value of x is _____.

Q57·ChemistryNumericalJEE Main 2024

Consider the figure provided.

1

mol of an ideal gas is kept in a cylinder, fitted with a piston, at the position A, at

18^\circ C

. If the piston is moved to position B, keeping the temperature unchanged, then

x

L atm work is done in this reversible process.

x=

___ L atm. (nearest integer) [Given: Absolute temperature

=\,^\circ C+273.15

,

R=0.08206\,L\,atm\,mol^{-1}K^{-1}

]

Q58·ChemistryNumericalJEE Main 2024

\Delta_{vap}H^{\ominus}

for water is

+40.79

kJ mol

^{-1}

at 1 bar and 100°C. Change in internal energy for this vapourisation under same condition is _______ kJ mol

^{-1}

. (Integer answer) (Given R

=8.3

JK

^{-1}

mol

^{-1}

)

Q59·ChemistryNumericalJEE Main 2024

An ideal gas,

C_V = \tfrac{5}{2}R

, is expanded adiabatically against a constant pressure of 1 atm until it doubles in volume. If the initial temperature and pressure are 298 K and 5 atm respectively, then the final temperature is _______ K (nearest integer). (

C_V

is the molar heat capacity at constant volume)

Q60·ChemistryNumericalJEE Main 2024

For the reaction at 298 K,

2A + B \rightarrow C

.

\Delta H = 400

kJ mol

^{-1}

and

\Delta S = 0.2

kJ mol

^{-1}

K

^{-1}

. The reaction will become spontaneous above _______ K.

Q61·ChemistryNumericalJEE Main 2024

The heat of combustion of solid benzoic acid at constant volume is

-321.30

kJ at

27^{\circ}\text{C}

. The heat of combustion at constant pressure is

(-321.30 - xR)

kJ. The value of x is ___.

Q62·ChemistrySingle correctJEE Main 2024

Given below are two statements: Assertion (A): Enthalpy of neutralisation of a strong monobasic acid with a strong monoacidic base is always

-57

kJ mol

^{-1}

. Reason (R): Enthalpy of neutralisation is the amount of heat liberated when one mole of

\text{H}^+

ions furnished by the acid combine with one mole of

\text{OH}^-

ions furnished by the base to form one mole of water. In the light of the above statements, choose the correct answer from the options given below.

(A)(A) is true but (R) is false
(B)Both (A) and (R) are true and (R) is the correct explanation of (A)
(C)(A) is false but (R) is true
(D)Both (A) and (R) are true but (R) is not the correct explanation of (A)

Q63·ChemistryNumericalJEE Main 2024

Combustion of 1 mole of benzene is expressed as

\text{C}_6\text{H}_6(l) + \tfrac{15}{2}\text{O}_2(g) \rightarrow 6\text{CO}_2(g) + 3\text{H}_2\text{O}(l)

. The standard enthalpy of combustion of 2 mol of benzene is

-x

kJ. Given: standard enthalpy of formation of

\text{C}_6\text{H}_6(l)

is

+48.5

kJ mol

^{-1}

, of

\text{CO}_2(g)

is

-393.5

kJ mol

^{-1}

, and of

\text{H}_2\text{O}(l)

is

-286

kJ mol

^{-1}

. The value of

x

is __________.

Q64·ChemistryNumericalJEE Main 2024

Three moles of an ideal gas are compressed isothermally from 60 L to 20 L using constant pressure of 5 atm. Heat exchange Q for the compression is ______ Lit. atm.

Q65·ChemistryNumericalJEE Main 2024

The enthalpy of formation of ethane

(C_2H_6)

from ethylene by addition of hydrogen where the bond-energies of

C-H

,

C-C

,

C=C

and

H-H

are

414\,kJ

,

347\,kJ

,

615\,kJ

and

435\,kJ

respectively is

-

___

kJ

.

Q66·ChemistryNumericalJEE Main 2024

For a certain reaction at 300 K,

K=10

, then

\Delta G^{\circ}

for the same reaction is

-

__________

\times 10^{-1}

kJ mol

^{-1}

. (Given

R=8.314

JK

^{-1}

mol

^{-1}

)

Q67·ChemistrySingle correctJEE Main 2024

Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following:

(A) $q=0,\ \Delta T\ne0,\ w=0$
(B) $q=0,\ \Delta T<0,\ w\ne0$
(C) $q\ne0,\ \Delta T=0,\ w=0$
(D) $q=0,\ \Delta T=0,\ w=0$

Q68·ChemistryNumericalJEE Main 2024

If 5 moles of an ideal gas expands from 10 L to a volume of 100 L at 300 K under isothermal and reversible condition then work,

w

, is

-x

J. The value of

x

is ______. (Given

R=8.314

J K

^{-1}

mol

^{-1}

)

Q69·ChemistryNumericalJEE Main 2024

An ideal gas undergoes a cyclic transformation starting from the point

A

and coming back to the same point by tracing the path

A\to B\to C\to A

as shown in the diagram. The total work done in the process is ___ J.

Q70·ChemistryNumericalJEE Main 2024

Two reactions are given below:

2Fe(s)+\dfrac{3}{2}O_2(g)\rightarrow Fe_2O_3(s)

,

\Delta H^\circ=-822

kJ/mol

C(s)+\dfrac{1}{2}O_2(g)\rightarrow CO(g)

,

\Delta H^\circ=-110

kJ/mol Then enthalpy change for following reaction

3C(s)+Fe_2O_3(s)\rightarrow 2Fe(s)+3CO(g)

is

\Delta H=

______ kJ/mol.

Q71·ChemistryNumericalJEE Main 2024

Standard enthalpy of vapourisation for

CCl_4

is 30.5 kJ mol

^{-1}

. Heat required for vapourisation of 284 g of

CCl_4

at constant temperature is ___ kJ. (Given molar mass in g mol

^{-1}

: C = 12, Cl = 35.5)

Q72·ChemistrySingle correctJEE Main 2024

Which of the following is not correct?

(A) $\Delta G$ is negative for a spontaneous reaction
(B) $\Delta G$ is positive for a spontaneous reaction
(C) $\Delta G$ is zero for a reversible reaction
(D) $\Delta G$ is positive for a non-spontaneous reaction

Q73·ChemistryNumericalJEE Main 2024

If three moles of an ideal gas at 300 K expand isothermally from 30 dm

^3

to 45 dm

^3

against a constant opposing pressure of 80 kPa, then the amount of heat transferred is __________ J.

Q74·ChemistryNumericalJEE Main 2024

For a certain thermochemical reaction

M\to N

at

T=400

K,

\Delta H^\circ=77.2

kJ mol

^{-1}

,

\Delta S^\circ=122

JK

^{-1}

,

\log K

is __________

\times10^{-1}

.

Q75·ChemistryNumericalJEE Advanced 2023

PARAGRAPH I The entropy versus temperature plot for phases

\alpha

and

\beta

at 1 bar pressure is given.

S_T

and

S_0

are entropies of the phases at temperatures T and 0 K, respectively. The transition temperature for

\alpha

to

\beta

phase change is 600 K and

C_{p,\beta} - C_{p,\alpha} = 1

J mol

^{-1}

K

^{-1}

. Assume

(C_{p,\beta} - C_{p,\alpha})

is independent of temperature in the range of 200 to 700 K.

C_{p,\alpha}

and

C_{p,\beta}

are heat capacities of

\alpha

and

\beta

phases, respectively. The value of enthalpy change,

H_\beta - H_\alpha

(in J mol

^{-1}

), at 300 K is ___.

Q76·ChemistryNumericalJEE Advanced 2023

One mole of an ideal monoatomic gas undergoes two reversible processes (A

\rightarrow

B and B

\rightarrow

C) as shown in the given figure: A

\rightarrow

B is an adiabatic process. If the total heat absorbed in the entire process (A

\rightarrow

B and B

\rightarrow

C) is

\mathrm{RT_2}\ln 10

, the value of

2\log \mathrm{V_3}

is ___. [Use, molar heat capacity of the gas at constant pressure,

\mathrm{C_{p,m}} = \frac{5}{2}\mathrm{R}

]

Q77·ChemistryNumericalJEE Advanced 2023

PARAGRAPH I The entropy versus temperature plot for phases

\alpha

and

\beta

at 1 bar pressure is given.

S_T

and

S_0

are entropies of the phases at temperatures T and 0 K, respectively. The transition temperature for

\alpha

to

\beta

phase change is 600 K and

C_{p,\beta} - C_{p,\alpha} = 1

J mol

^{-1}

K

^{-1}

. Assume

(C_{p,\beta} - C_{p,\alpha})

is independent of temperature in the range of 200 to 700 K.

C_{p,\alpha}

and

C_{p,\beta}

are heat capacities of

\alpha

and

\beta

phases, respectively. The value of entropy change,

S_\beta - S_\alpha

(in J mol

^{-1}

K

^{-1}

), at 300 K is ___. [Use: ln2 = 0.69 Given:

S_\beta - S_\alpha = 0

at 0 K]

Q78·ChemistryNumericalJEE Advanced 2023

In a one-litre flask, 6 moles of A undergoes the reaction

\mathrm{A\ (g)} \rightleftharpoons \mathrm{P\ (g)}

. The progress of product formation at two temperatures (in Kelvin),

\mathrm{T_1}

and

\mathrm{T_2}

, is shown in the figure: If

\mathrm{T_1} = 2\mathrm{T_2}

and

\left(\Delta \mathrm{G_2^{\theta}} - \Delta \mathrm{G_1^{\theta}}\right) = \mathrm{RT_2}\ln x,

then the value of x is ...... [[

\Delta \mathrm{G_1^{\theta}}

and

\Delta \mathrm{G_2^{\theta}}

are standard Gibb's free energy change for the reaction at temperatures

\mathrm{T_1}

and

\mathrm{T_2}

, respectively.]

Q79·ChemistryNumericalJEE Main 2023

30.4 kJ of heat is required to melt one mole of sodium chloride and the entropy change at the melting point is 28.4 J

K^{-1}

mol^{-1}

at 1 atm. The melting point of sodium chloride is _______ K (Nearest Integer)

Q80·ChemistryNumericalJEE Main 2023

A_{2}+B_{2}\to 2AB,\,\Delta H^{\circ}=-200\,kJ\,mol^{-1}

. AB,

A_{2}

and

B_{2}

are diatomic molecule. If the bond enthalpies of

A_{2},\,B_{2}

and AB are in the ratio

1:0.5:1

, then the bond enthalpy of

A_{2}

is _____

kJ\,mol^{-1}

(Nearest integer).

Q81·ChemistrySingle correctJEE Main 2023

Identify the correct order of standard enthalpy of formation of sodium halides.

(A) $NaF < NaBr < NaCl < NaI$
(B) $NaF < NaCl < NaBr < NaI$
(C) $NaCl < NaF < NaBr < NaI$
(D) $NaI < NaBr < NaF < NaCl$

Q82·ChemistrySingle correctJEE Main 2023

What happens when methane undergoes combustion in systems A and B respectively? (System A is an adiabatic system; System B is a diathermic container)

(A)System A: Temperature rises; System B: Temperature remains same
(B)System A: Temperature falls; System B: Temperature rises
(C)System A: Temperature falls; System B: Temperature remains same
(D)System A: Temperature remains same; System B: Temperature rises

Q83·ChemistryNumericalJEE Main 2023

The total number of intensive properties from the following is ____. Volume, Molar heat capacity, Molarity,

E_{cell}

, Gibbs free energy change, Molar mass, Mole.

Q84·ChemistryNumericalJEE Main 2023

Solid fuel used in rocket is a mixture of

Fe_2O_3

and Al (in ratio 1:2). The heat evolved (kJ) per gram of the mixture is __________ (Nearest integer). Given:

\Delta H_f^0(Al_2O_3) = -1700

kJ

mol^{-1}

,

\Delta H_f^0(Fe_2O_3) = -840

kJ

mol^{-1}

. Molar mass of Fe, Al and O are 56, 27 and 16 g

mol^{-1}

respectively.

Q85·ChemistryNumericalJEE Main 2023

The number of endothermic process/es from the following is _______ . A.

\text{I}_2(g)\rightarrow 2\text{I}(g)

B.

\text{HCl}(g)\rightarrow \text{H}(g)+\text{Cl}(g)

C.

\text{H}_2\text{O}(l)\rightarrow \text{H}_2\text{O}(g)

D.

\text{C}(s)+\text{O}_2(g)\rightarrow \text{CO}_2(g)

E. Dissolution of ammonium chloride in water.

Q86·ChemistrySingle correctJEE Main 2023

Given (A)

2CO(g)+O_2(g)\rightarrow2CO_2(g)

,

\Delta H_1^0=-x

kJ mol

^{-1}

and (B)

C(graphite)+O_2(g)\rightarrow CO_2(g)

,

\Delta H_2^0=-y

kJ mol

^{-1}

. The

\Delta H^0

for the reaction

C(graphite)+\dfrac12 O_2(g)\rightarrow CO(g)

is

(A) $\dfrac{x-2y}{2}$
(B) $\dfrac{x+2y}{2}$
(C) $\dfrac{2x-y}{2}$
(D) $2y-x$

Q87·ChemistryNumericalJEE Main 2023

For complete combustion of ethene,

C_2H_4(g)+3O_2(g)\rightarrow 2CO_2(g)+2H_2O(l)

, the amount of heat produced as measured in a bomb calorimeter is

1406

kJ mol

^{-1}

at 300 K. The minimum value of

T\Delta S

needed to reach equilibrium is

(-)

____ kJ (nearest integer). Given:

R=8.3

JK

^{-1}

mol

^{-1}

.

Q88·ChemistryNumericalJEE Main 2023

When a 60 W electric heater is immersed in a gas for 100s in a constant volume container with adiabatic walls, the temperature of the gas rises by

5\,^\circ C

. The heat capacity of the given gas is ____ J

K^{-1}

(Nearest integer)

Q89·ChemistryNumericalJEE Main 2023

Consider the graph of Gibbs free energy

G

vs Extent of reaction. The number of statement's from the following which are true with respect to points

(a),\,(b)

and

(c)

is _____. A. Reaction is spontaneous at

(a)

and

(b)

B. Reaction is at equilibrium at point

(b)

and non-spontaneous at point

(c)

C. Reaction is spontaneous at

(a)

and non-spontaneous at

(c)

D. Reaction is spontaneous at

(a)

and

(c)

Q90·ChemistryNumericalJEE Main 2023

Consider the following data: Heat of combustion of

H_2(g) = -241.8

kJ mol

^{-1}

; Heat of combustion of

C(s) = -393.5

kJ mol

^{-1}

; Heat of combustion of

C_2H_5OH(l) = -1234.7

kJ mol

^{-1}

. The heat of formation of

C_2H_5OH(l)

is

(-)

____ kJ mol

^{-1}

(Nearest integer).

Q91·ChemistryNumericalJEE Main 2023

0.3

g of ethane undergoes combustion at

27°C

in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by

0.5°C

. The heat evolved during combustion of ethane at constant pressure is _________ kJmol

^{-1}

. (Nearest integer) [Given: The heat capacity of the calorimeter system is

20

kJ K

^{-1}

,

R=8.3

JK

^{-1}

mol

^{-1}

. Assume ideal gas behaviour. Atomic mass of C and H are

12

and

1

g mol

^{-1}

respectively]

Q92·ChemistryNumericalJEE Main 2023

At 25

^\circ

C, the enthalpies of the following processes are given:

\text{H}_2(g)+\text{O}_2(g)\rightarrow 2\text{OH}(g)

,

\Delta H^\circ=78

kJ mol

^{-1}

;

\text{H}_2(g)+\tfrac{1}{2}\text{O}_2(g)\rightarrow \text{H}_2\text{O}(g)

,

\Delta H^\circ=-242

kJ mol

^{-1}

;

\text{H}_2(g)\rightarrow 2\text{H}(g)

,

\Delta H^\circ=436

kJ mol

^{-1}

;

\tfrac{1}{2}\text{O}_2(g)\rightarrow \text{O}(g)

,

\Delta H^\circ=249

kJ mol

^{-1}

. What would be the value of X for the reaction

\text{H}_2\text{O}(g)\rightarrow \text{H}(g)+\text{OH}(g)

,

\Delta H^\circ=\text{X kJ mol}^{-1}

? _______ (Nearest integer).

Q93·ChemistryNumericalJEE Main 2023

Enthalpies of formation of

CCl_4(g), H_2O(g), CO_2(g)

and

HCl(g)

are

-105, -242, -394

and

-92

kJ mol

^{-1}

respectively. The magnitude of enthalpy of the reaction given below is _________ kJmol

^{-1}

. (nearest integer)

CCl_4(g)+2H_2O(g)\rightarrow CO_2(g)+4HCl(g)

Q94·ChemistryNumericalJEE Main 2023

The enthalpy change for the conversion of

\frac{1}{2}Cl_2(g)

to

Cl^-(aq)

is

(-)

___

kJ\,mol^{-1}

(Nearest integer). Given :

\Delta_{dis}H^{\ominus}_{Cl_2(g)} = 240\ kJ\,mol^{-1}

,

\Delta_{eg}H^{\ominus}_{Cl(g)} = -350\ kJ\,mol^{-1}

,

\Delta_{hyd}H^{\ominus}_{Cl^-(g)} = -380\ kJ\,mol^{-1}

Q95·ChemistryNumericalJEE Main 2023

When

2

litre of ideal gas expands isothermally into vacuum to a total volume of

6

litre, the change in internal energy is _________ J. (Nearest integer)

Q96·ChemistryNumericalJEE Main 2023

1 mole of an ideal gas is allowed to expand reversibly and adiabatically from a temperature of

27\,^{\circ}

C. The work done is 3 kJ mol

^{-1}

. The final temperature of the gas is _______ K (nearest integer). (Given

C_V=20

J mol

^{-1}

K

^{-1}

)

Q97·ChemistrySingle correctJEE Main 2023

Which of the following relations are correct? (A)

\Delta U=q+p\Delta V

(B)

\Delta G=\Delta H-T\Delta S

(C)

\Delta S=\dfrac{q_{rev}}{T}

(D)

\Delta H=\Delta U-\Delta nRT

Choose the most appropriate answer from the options given below:

(A)B and D Only
(B)A and B Only
(C)B and C Only
(D)C and D Only

Q98·ChemistryNumericalJEE Main 2023

Consider the following reaction approaching equilibrium at 27 °C and 1 atm pressure: A + B

\underset{k_r = 10^2}{\overset{k_f = 10^3}{\rightleftharpoons}}

C + D. The standard Gibb's energy change (

\Delta_r G^\theta

) at 27 °C is

(-)

________ kJ mol

^{-1}

(Nearest integer). (Given: R = 8.3 J K

^{-1}

mol

^{-1}

and ln 10 = 2.3)

Q99·ChemistryNumericalJEE Main 2023

An athlete is given 100 g of glucose (

C_6H_{12}O_6

) for energy. This is equivalent to 1800 kJ of energy. 50% of this energy is gained by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is _______ g (nearest integer). Assume that there is no other way of consuming stored energy. (Given: enthalpy of evaporation of water is 45 kJ mol

^{-1}

; molar mass of C, H and O are 12, 1 and 16 g mol

^{-1}

)

Q100·ChemistryNumericalJEE Main 2023

For independent processes at 300 K: Process A (

\Delta H=-25

kJ mol

^{-1}

,

\Delta S=-80

J K

^{-1}

); Process B (

\Delta H=-22

kJ mol

^{-1}

,

\Delta S=40

J K

^{-1}

); Process C (

\Delta H=25

kJ mol

^{-1}

,

\Delta S=-50

J K

^{-1}

); Process D (

\Delta H=22

kJ mol

^{-1}

,

\Delta S=20

J K

^{-1}

). The number of non-spontaneous processes from these is _______ .

Q101·ChemistryNumericalJEE Main 2023

One mole of an ideal monoatomic gas is subjected to changes as shown in the graph. The magnitude of the work done (by the system or on the system) is _________ J (nearest integer)

Q102·ChemistryMultiple correctJEE Advanced 2022

The correct option(s) about entropy (S) is(are) [R = gas constant, F = Faraday constant, T = Temperature]

(A)For the reaction, $\mathrm{M(s)} + 2\mathrm{H^+(aq)} \longrightarrow \mathrm{H_2(g)} + \mathrm{M^{2+}(aq)}$ , if $\dfrac{\mathrm{dE_{cell}}}{\mathrm{dT}} = \dfrac{\mathrm{R}}{\mathrm{F}}$ , then the entropy change of the reaction is R (assume that entropy and internal energy changes are temperature independent).
(B)The cell reaction, $\mathrm{Pt(s)}\,|\,\mathrm{H_2}\,(\mathrm{g},\ 1\,\mathrm{bar})\,|\,\mathrm{H^+}\,(\mathrm{aq},\ 0.01\ \mathrm{M})\,||\,\mathrm{H^+}\,(\mathrm{aq},\ 0.1\ \mathrm{M})\,|\,\mathrm{H_2}\,(\mathrm{g},\ 1\ \mathrm{bar})\,|\,\mathrm{Pt(s)}$ , is in an entropy driven process.
(C)For racemisation of an optically active compound, $\Delta \mathrm{S} > 0$ .
(D) $\Delta \mathrm{S} > 0$ , for $\left[\mathrm{Ni(H_2O)_6}\right]^{2+} + 3\ \mathrm{en} \longrightarrow \left[\mathrm{Ni(en)_3}\right]^{2+} + 6\mathrm{H_2O}$ (where en = ethylenediamine).

Q103·ChemistryNumericalJEE Advanced 2022

2 mol of Hg(g) is combusted in a fixed volume bomb calorimeter with excess of

\mathrm{O_2}

at 298 K and 1 atm into HgO(s). During the reaction, temperature increases from 298.0 K to 312.8 K. If heat capacity of the bomb calorimeter and enthalpy of formation of Hg(g) are 20.00 kJ

\mathrm{K^{-1}}

and 61.32 kJ

\mathrm{mol^{-1}}

at 298 K, respectively, the calculated standard molar enthalpy of formation of HgO(s) at 298 K is X kJ

\mathrm{mol^{-1}}

. The value of

|X|

is ________. [Given: Gas constant R = 8.3 J

\mathrm{K^{-1}}

\mathrm{mol^{-1}}

]

Q104·ChemistryNumericalJEE Main 2022

When 600 mL of 0.2 M

HNO_{3}

is mixed with 400 mL of 0.1M NaOH solution in a flask, the rise in temperature of the flask is ______ ×

10^{-2}

°C. (Enthalpy of neutralisation = 57 kJ

mol^{-1}

and Specific heat of water = 4.2

JK^{-1}

g^{-1}

) (Neglect heat capacity of flask)

Q105·ChemistrySingle correctJEE Main 2022

C(s) + O

_{2}

(g) → CO

_{2}

(g) + 400 kJ C(s) +

\frac{1}{2}

O

_{2}

(g) → CO(g) + 100 kJ When coal of purity 60% is allowed to burn in presence of insufficient oxygen, 60% of carbon is converted into 'CO' and the remaining is converted into 'CO

_{2}

'. The heat generated when 0.6 kg of coal is burnt is ______.

(A)1600 kJ
(B)3200 kJ
(C)4400 kJ
(D)6600 kJ

Q106·ChemistryNumericalJEE Main 2022

Among the following the number of state variable is _____. Internal energy (U) Volume (V) Heat (q) Enthalpy (H)

Q107·ChemistrySingle correctJEE Main 2022

Which of the following relation is not correct ?

(A)ΔH = ΔU − PΔV
(B)ΔU = q + W
(C)ΔS $_{sys}$ + ΔS $_{surr}$ ≥ 0
(D)ΔG = ΔH − TΔS

Q108·ChemistryNumericalJEE Main 2022

A gas (Molar mass = 280 g mol

^{-1}

) was burnt in excess O

_{2}

in a constant volume calorimeter and during combustion the temperature of calorimeter increased from 298.0 K to 298.45 K. If the heat capacity of calorimeter is 2.5 kJ K

^{-1}

and enthalpy of combustion of gas is 9 kJ mol

^{-1}

then amount of gas burnt is________g. (Nearest Integer)

Q109·ChemistryNumericalJEE Main 2022

The molar heat capacity for an ideal gas at constant pressure is 20.785 J

K^{-1}mol^{-1}

. The change in internal energy is 5000 J upon heating it from 300K to 500K. The number of moles of the gas at constant volume is ___ [Nearest integer] (Given: R = 8.314 J

K^{-1}

mol^{-1}

)

Q110·ChemistryNumericalJEE Main 2022

2.4 g coal is burnt in a bomb calorimeter in excess of oxygen at 298 K and 1 atm pressure. The temperature of the calorimeter rises from 298 K to 300 K. The enthalpy change during the combustion of coal is − x kJ mol

^{-1}

. The value of x is___________. (Nearest Integer) (Given : Heat capacity of bomb calorimeter 20.0 kJ K

^{-1}

. Assume coal to be pure carbon)

Q111·ChemistryNumericalJEE Main 2022

For the reaction

H_{2}F_{2}(g)

→

H_{2}(g)

+

F_{2}(g)

ΔU = –59.6 kJ

mol^{-1}

at 27°C. The enthalpy change for the above reaction is (–) ___ kJ

mol^{-1}

[nearest integer] Given : R = 8.314

JK^{-1}

mol^{-1}

.

Q112·ChemistryNumericalJEE Main 2022

The enthalpy of combustion of propane, graphite and dihydrogen at 298 K are: –2220.0 kJ

mol^{-1}

, –393.5 kJ

mol^{-1}

and –285.8 kJ

mol^{-1}

respectively. The magnitude enthalpy of formation of propane (

C_{3}H_{8}

) is………kJ

mol^{-1}

. (Nearest integer)

Q113·ChemistryNumericalJEE Main 2022

17.0 g of

NH_3

completely vapourises at − 33.42°C and 1 bar pressure and the enthalpy change in the process is 23.4 kJ

mol^{-1}

. The enthalpy change for the vapourisation of 85 g of

NH_3

under the same conditions is _______ kJ.

Q114·ChemistryNumericalJEE Main 2022

2.2 g of nitrous oxide (N

_2

O) gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression of the gas from 217.1 mL to 167.75 mL. The change in internal energy of the process,

\Delta

U is '

-

x' J. The value of 'x' is __. [nearest integer] (Given: atomic mass of N = 14 g mol

^{-1}

and of O = 16 g mol

^{-1}

. Molar heat capacity of N

_2

O is 100 JK

^{-1}

mol

^{-1}

)

Q115·ChemistryNumericalJEE Main 2022

For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, Δ

_C

H

^\ominus

= –601.70 kJ mol

^{-1}

, the magnitude of change in internal energy for the reaction is ______ kJ. (Nearest integer) (Given : R = 8.3 J K

^{-1}

mol

^{-1}

)

Q116·ChemistryNumericalJEE Main 2022

4.0 L of an ideal gas is allowed to expand isothermally into vacuum until the total volume is 20 L. The amount of heat absorbed in this expansion is __________ L atm.

Q117·ChemistrySingle correctJEE Main 2022

Match List-I with List-II Choose the correct answer from the options given below:

List-I	List-II
A.Spontaneous process	I. $\Delta H < 0$
B.Process with $\Delta P = 0$ , $\Delta T = 0$	II. $\Delta G_{T,P} < 0$
C. $\Delta H_{reaction}$	III.Isothermal and isobaric process
D.Exothermic process	IV.[Bond energies of molecules in reactants] - [Bond energies of product molecules

(A)(A) – (III), (B) – (II), (C) – (IV), (D) – (I)
(B)(A) – (II), (B) – (III), (C) – (IV), (D) – (I)
(C)(A) – (II), (B) – (III), (C) – (I), (D) – (IV)
(D)(A) – (II), (B) – (I), (C) – (III), (D) – (IV)

Q118·ChemistryNumericalJEE Main 2022

When 5 moles of He gas expand isothermally and reversibly at 300 K from 10 litre to 20 litre, the magnitude of the maximum work obtained is ____ J. [nearest integer] (Given: R = 8.3 J K

^{-1}

mol

^{-1}

and log 2 = 0.3010)

Q119·ChemistryNumericalJEE Main 2022

For complete combustion of methanol

CH_{3}OH(l) + \frac{3}{2}O_{2}(g) \rightarrow CO_{2}(g) + 2H_{2}O(l)

the amount of heat produced as measured by bomb calorimeter is 726 kJ

mol^{-1}

at 27°C. The enthalpy of combustion for the reaction is –x kJ

mol^{-1}

, where x is ______. (Nearest integer) (Given : R = 8.3

JK^{-1}

mol^{-1}

)

Q120·ChemistryNumericalJEE Main 2022

A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it is subjected to cooking at 100°C, then the internal energy for vaporization in kJ

mol^{-1}

is _________. [nearest integer] [Assume steam to be an ideal gas. Given

A_{vap}H^{\ominus}

for water at 373 K and 1 bar is 41.1 kJ

mol^{-1}

; R = 8.31

JK^{-1}mol^{-1}

]

Q121·ChemistryNumericalJEE Main 2022

The standard entropy change for the reaction

4Fe(s) + 3O_2(g) \rightarrow 2Fe_2O_3(s)

is −550

JK^{-1}

at 298 K. [Given : The standard enthalpy change for the reaction is −165 kJ

mol^{-1}

]. The temperature in K at which the reaction attains equilibrium is _________. (Nearest Integer)

Q122·ChemistrySingle correctJEE Main 2022

At 25

^{\circ}

C and 1 atm pressure, the enthalpy of combustion of benzene (1) and acetylene (g) are -3268 kJ mol

^{-1}

and -1300 kJ mol

^{-1}

, respectively. The change in enthalpy for the reaction 3 C

_2

H

_2

(g)

\rightarrow

C

_6

H

_6

(l), is

(A)+ 324 kJ mol $^{-1}$
(B)+632 kJ mol $^{-1}$
(C)- 632 kJ mol $^{-1}$
(D)- 732 kJ mol $^{-1}$

Q123·ChemistryNumericalJEE Main 2022

2O

_3

(g)

\rightleftharpoons

3O

_2

(g) At 300 K, ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is (–) __J mol

^{-1}

(Nearest integer) [Given: ln 1.35 = 0.3 and R = 8.3 J K

^{-1}

mol

^{-1}

]

Q124·ChemistrySingle correctJEE Main 2022

At

25^\circ

C and 1 atm pressure, the enthalpies of combustion are as given below: The enthalpy of formation of ethane is

Substance	H $_2$	C(graphite)	C $_2$ H $_6$ (g)
$\dfrac{\Delta_\mathrm{C}H^{\ominus}}{\mathrm{kJmol}^{-1}}$	$-286.0$	$-394.0$	$-1560.0$

(A)+54.0 kJ mol $^{-1}$
(B) $-$ 68.0 kJ mol $^{-1}$
(C) $-$ 86.0 kJ mol $^{-1}$
(D)+97.0 kJ mol $^{-1}$

Q125·ChemistryNumericalJEE Advanced 2021

For the reaction

\mathbf{X}(s) \rightleftharpoons \mathbf{Y}(s) + \mathbf{Z}(g)

, the plot of

\ln\frac{p_z}{p^{\ominus}}

versus

\frac{10^4}{T}

is given below (in solid line), where

p_z

is the pressure (in bar) of the gas

\mathbf{Z}

at temperature

T

and

P^{\ominus} = 1

bar. (Given,

\frac{d(\ln K)}{d\left(\frac{1}{T}\right)} = -\frac{\Delta H^{\ominus}}{R}

, where the equilibrium constant, K

= \frac{p_z}{p^{\ominus}}

and the gas constant, R = 8.314 J K

^{-1}

mol

^{-1}

) The value of

\Delta \mathrm{S}^{\ominus}

(in J K

^{-1}

mol

^{-1}

) for the given reaction, at 1000 K is______ .

Q126·ChemistryNumericalJEE Advanced 2021

For the reaction

\mathbf{X}(s) \rightleftharpoons \mathbf{Y}(s) + \mathbf{Z}(g)

, the plot of

\ln\frac{p_z}{p^{\ominus}}

versus

\frac{10^4}{T}

is given below (in solid line), where

p_z

is the pressure (in bar) of the gas

\mathbf{Z}

at temperature

T

and

P^{\ominus} = 1

bar. (Given,

\frac{d(\ln K)}{d\left(\frac{1}{T}\right)} = -\frac{\Delta H^{\ominus}}{R}

, where the equilibrium constant, K

= \frac{p_z}{p^{\ominus}}

and the gas constant, R = 8.314 J K

^{-1}

mol

^{-1}

) The value of standard enthalpy,

\Delta \mathrm{H}^{\ominus}

(in kJ mol

^{-1}

) for the reaction is_____ .

Q127·ChemistryMultiple correctJEE Advanced 2021

An ideal gas undergoes a reversible isothermal expansion from state

\mathbf{I}

to state

\mathbf{II}

followed by a reversible adiabatic expansion from state

\mathbf{II}

to state

\mathbf{III}

. The correct plot(s) representing the changes from state

\mathbf{I}

to state

\mathbf{III}

is(are) (

p

: pressure,

V

: volume,

T

: temperature,

H

: enthalpy,

S

: entropy)

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q128·ChemistryIntegerJEE Advanced 2021

One mole of an ideal gas at 900 K, undergoes two reversible processes,

\mathbf{I}

followed by

\mathbf{II}

, as shown below. If the work done by the gas in the two processes are same, the value of

\ln \frac{V_{3}}{V_{2}}

is ___. (

U

: internal energy,

S

: entropy,

p

: pressure,

V

: volume,

R

: gas constant) (Given: molar heat capacity at constant volume,

C_{V,\mathrm{m}}

of the gas is

\frac{5}{2}R

)

Q129·ChemistryNumericalJEE Main 2021

For the reaction 2NO

_{2}

(g) ⇌ N

_{2}

O

_{4}

(g), when ∆S = −176.0 JK

^{-1}

and ∆H = −57.8 kJ mol

^{-1}

, the magnitude of ∆G at 298 K for the reaction is ______ kJ mol

^{-1}

. (Nearest integer)

Q130·ChemistrySingle correctJEE Main 2021

The incorrect expression among the following is:

(A) $\dfrac{\Delta \mathrm{G_{System}}}{\Delta \mathrm{S_{Total}}} = -\mathrm{T}$ (at constant P)
(B) $\ln \mathrm{K} = \dfrac{\Delta \mathrm{H^{o}} - \mathrm{T}\Delta \mathrm{S^{o}}}{\mathrm{RT}}$
(C) $\mathrm{K} = e^{-\Delta \mathrm{G^{o}}/\mathrm{RT}}$
(D)For isothermal process $\mathrm{w_{reversible}} = -\ \mathrm{nRT} \ln \dfrac{\mathrm{V}_f}{\mathrm{V}_i}$

Q131·ChemistryNumericalJEE Main 2021

According to the following figure, the magnitude of the enthalpy change of the reaction A + B

\rightarrow

M + N in kJ mol

^{-1}

is equal to _____. (Integer answer)

Q132·ChemistryNumericalJEE Main 2021

Data given for the following reaction is as follows: FeO

_{(s)}

+ C

_{(graphite)}

→ Fe

_{(s)}

+ CO

_{(g)}

Substance | ΔH° (kJ mol

^{-1}

) | ΔS° (J mol

^{-1}

K

^{-1}

) FeO

_{(s)}

| −266.3 | 57.49 C

_{(graphite)}

| 0 | 5.74 Fe

_{(s)}

| 0 | 27.28 CO

_{(g)}

| −110.5 | 197.6 The minimum temperature in K at which the reaction becomes spontaneous is _____ . (Integer answer)

Q133·ChemistryNumericalJEE Main 2021

200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutralization of this reaction is

-57.1

kJ. The increase in temperature in

^\circ C

of the system on mixing is

x \times 10^{-2}

. The value of x is ________ . (Nearest integer) [Given : Specific heat of water = 4.18 J

g^{-1}

K^{-1}

Density of water = 1.00 g

cm^{-3}

] (Assume no volume change on mixing)

Q134·ChemistryNumericalJEE Main 2021

The Born-Haber cycle for KCl is evaluated with the following data :

\Delta_f H^\ominus

for

KCl = -436.7\ kJ\ mol^{-1}

;

\Delta_{sub} H^\ominus

for

K = 89.2\ kJ\ mol^{-1}

;

\Delta_{ionization} H^\ominus

for

K = 419.0\ kJ\ mol^{-1}

;

\Delta_{electron\ gain} H^\ominus

for

Cl_{(g)} = -348.6\ kJ\ mol^{-1}

;

\Delta_{bond} H^\ominus

for

Cl_2 = 243.0\ kJ\ mol^{-1}

The magnitude of lattice enthalpy of KCl in

kJ\ mol^{-1}

is ________ (Nearest integer)

Q135·ChemistryNumericalJEE Main 2021

For water

\Delta_{vap} H = 41

kJ mol

^{-1}

at 373 K and 1 bar pressure. Assuming that water vapour is an ideal gas that occupies a much larger volume than liquid water, the internal energy change during evaporation of water is ______ kJ mol

^{-1}

[Use : R = 8.3 J mol

^{-1}

K

^{-1}

]

Q136·ChemistryNumericalJEE Main 2021

When 400 mL of 0.2 M H

_2

SO

_4

solution is mixed with 600 mL of of 0.1 M NaOH solution the increase in temperature of the final solution is ____________×10

^{-2}

K. (Round off to the Nearest Integer). [Use: H

^+

(aq) + OH

^-

(aq) → H

_2

O :

\Delta_r

H = −57.1kJmol

^{-1}

Specific heat of H

_2

O = 4.18JK

^{-1}

g

^{-1}

Density of H

_2

O = 1.0 gcm

^{-3}

Assume no change in volume of solution on mixing]

Q137·ChemistryNumericalJEE Main 2021

For water at 100°C and 1 bar

\Delta_{vap}H - \Delta_{vap}U

= ________

\times 10^2

J mol

^{-1}

(Round off to the Nearest integer) [ Use: R = 8.31 J mol

^{-1}

K

^{-1}

] [ Assume volume of

H_2

O(l) is much smaller than volume of

H_2

O(g). Assume

H_2

O(g) can be treated as an ideal gas]

Q138·ChemistryNumericalJEE Main 2021

At 298 K, the enthalpy of fusion of a solid (X) is 2.8kJ mol

^{-1}

and the enthalpy of vaporization of the liquid (X) is 98.2 kJ mol

^{-1}

. The enthalpy of sublimation of the substance (X) in kJ mol

^{-1}

is ___________. (in nearest integer)

Q139·ChemistryNumericalJEE Main 2021

A system does 200 J of work and at the same time absorbs 150 J of heat. The magnitude of the change in internal energy is _________J. (Nearest integer)

Q140·ChemistryNumericalJEE Main 2021

If the standard molar enthalpy change for combustion of graphite powder is

-2.48 \times 10^{2}

kJ mol

^{-1}

, the amount of heat generated on combustion of 1 g of graphite powder is __________ kJ. (Nearest integer)

Q141·ChemistryNumericalJEE Main 2021

For a given chemical reaction

\mathrm{A} \rightarrow \mathrm{B}

at 300 K the free energy change is

-\,49.4

kJ

\mathrm{mol^{-1}}

and the enthalpy of reaction is 51.4 kJ

\mathrm{mol^{-1}}

. The entropy change of the reaction is ________

\mathrm{J\ K^{-1}\ mol^{-1}}

.

Q142·ChemistryNumericalJEE Main 2021

For the reaction C

_{2}

H

_{6}

→ C

_{2}

H

_{4}

+ H

_{2}

the reaction enthalpy Δ

_{r}

H = ______ kJ mol

^{-1}

. (Round off to the Nearest Integer). [Given : Bond enthalpies in kJ mol

^{-1}

: C–C : 347, C=C : 611; C–H : 414, H–H : 436]

Q143·ChemistryNumericalJEE Main 2021

The gas phase reaction 2A(g) ⇌ A

_{2}

(g) at 400 K has ΔG° = + 25.2 kJ mol

^{-1}

. The equilibrium constant K

_{C}

for this reaction is ______ × 10

^{-2}

. (Round off to the Nearest integer) [Use : R = 8.3 J mol

^{-1}

K

^{-1}

, ln 10 = 2.3 log

_{10}

2 = 0.30, 1 atm = 1 bar] [antilog (−0.3) = 0.501]

Q144·ChemistrySingle correctJEE Main 2021

During which of the following processes, does entropy decrease ? (A) Freezing of water to ice at 0°C (B) Freezing of water to ice at –10°C (C) N

_{2}

(g) + 3H

_{2}

(g)

\rightarrow

2NH

_{3}

(g) (D) Adsorption of CO(g) and lead surface (E) Dissolution of NaCl in water

(A)(A), (B), (C) and (D) only
(B)(B) and (C) only
(C)(A) and (E) only
(D)(A), (C) and (E) only

Q145·ChemistryNumericalJEE Main 2021

The standard enthalpies of formation of

\mathrm{Al_2O_3}

and CaO are

-1675

kJ

\mathrm{mol^{-1}}

and

-635

kJ

\mathrm{mol^{-1}}

respectively. For the reaction

\mathrm{3CaO + 2Al \rightarrow 3Ca + Al_2O_3}

the standard reaction enthalpy

\Delta_\mathrm{r} H^0 =

________ kJ. (Round off to the Nearest Integer).

Q146·ChemistryNumericalJEE Main 2021

At 25°C, 50 g of iron reacts with HCl to form FeCl

_{2}

. The evolved hydrogen gas expands against a constant pressure of 1 bar. The work done by the gas during this expansion is _______ J. (Round off to the Nearest Integer) [Given : R = 8.314 J mol

^{-1}

K

^{-1}

. Assume, hydrogen is an ideal gas] [Atomic mass off Fe is 55.85 u]

Q147·ChemistryNumericalJEE Main 2021

For the reaction A(g) ⇌ B(g) at 495 K,

\Delta_{r}G^{\circ}

= −9.478 kJ mol

^{-1}

. If we start the reaction in a closed container at 495 K with 22 millimoles of A, the amount of B is the equilibrium mixture is _______ millimoles. (Round off to the Nearest Integer). [R = 8.314 J mol

^{-1}

K

^{-1}

; ℓn 10 = 2.303]

Q148·ChemistryNumericalJEE Main 2021

For a chemical reaction A + B ⇌ C + D (Δ

_r

H

^{\ominus}

= 80 kJ mol

^{-1}

) the entropy change Δ

_r

S

^{\ominus}

depends on the temperature T (in K) as Δ

_r

S

^{\ominus}

= 2T (J K

^{-1}

mol

^{-1}

). Minimum temperature at which it will become spontaneous is _________K.

Q149·ChemistryNumericalJEE Main 2021

The average S−F bond energy in kJ

mol^{-1}

of

SF_6

is ____________. (Rounded off to the nearest integer) [Given : The values of standard enthalpy of formation of

SF_6

(g), S(g) and F(g) are - 1100, 275 and 80 kJ

mol^{-1}

respectively.]

Q150·ChemistryNumericalJEE Main 2021

The ionization enthalpy of Na

^{+}

formation from Na

_{(g)}

is 495.8 kJ mol

^{-1}

, while the electron gain enthalpy of Br is −325.0 kJ mol

^{-1}

. Given the lattice enthalpy of NaBr is −728.4 kJ mol

^{-1}

. The energy for the formation of NaBr ionic solid is (−)_______ × 10

^{-1}

kJ mol

^{-1}

.

Q151·ChemistryNumericalJEE Main 2021

The reaction of cyanamide, NH

_{2}

CN

_{(s)}

with oxygen was run in a bomb calorimeter and ΔU was found to be −742.24 kJ mol

^{-1}

. The magnitude of ΔH

_{298}

for the reaction NH

_{2}

CN

_{(s)}

+

\frac{3}{2}

O

_{2}

(g) → N

_{2(g)}

+ O

_{2(g)}

+ H

_{2}

O

_{(l)}

is _______ kJ. (Rounded off to the nearest integer) [Assume ideal gases and R = 8.314 J mol

^{-1}

K

^{-1}

]

Q152·ChemistryNumericalJEE Main 2021

Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at constant external 4.3 MPa. The heat transferred in this process is ____kJ mol

^{-1}

. (Rounded-off of the nearest integer) [Use R = 8.314 J mol

^{-1}

K

^{-1}

]

Q153·ChemistryNumericalJEE Main 2021

For the reaction

\mathrm{A_{(g)}} \rightarrow \mathrm{B_{(g)}}

, the value of the equilibrium constant at 300 K and 1 atm is equal to 100.0. The value of

\mathrm{\Delta_r G}

for the reaction at 300 K and 1 atm in

\mathrm{J\,mol^{-1}}

is

-xR

, where x is ______. (Rounded off to the nearest integer)

[\mathrm{R} = 8.31\,\mathrm{J\,mol^{-1}K^{-1}}

and

\ln 10 = 2.3]

Q154·ChemistryNumericalJEE Main 2021

Assuming ideal behaviour, the magnitude of log K for the following reaction at 25ºC is x ×

10^{-1}

. The value of x is ____________.(Integer answer)

3HC \equiv CH_{(g)} \rightleftharpoons C_{6}H_{6(\ell)}

[Given :

\Delta_{f}G°(HC \equiv CH)

= – 2.04 ×

10^{5}

]

mol^{-1}

;

\Delta_{f}G°(C_{6}H_{6})

= – 1.24 ×

10^{5}

J

mol^{-1}

; R = 8.314 J

K^{-1}

mol^{-1}

]

Q155·ChemistryNumericalJEE Advanced 2020

Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in K) at which the reduction of cassiterite by coke would take place. At 298 K :

\Delta_{f}H°(SnO_{2}(s))

= –581.0 kJ

mol^{-1}

,

\Delta_{f}H°(CO_{2}(g))

= –394.0 kJ

mol^{-1}

S°(SnO_{2}(s))

= 56.0 J

K^{-1}

mol^{-1}

,

S°(Sn(s))

= 52.0 J

K^{-1}

mol^{-1}

,

S°(C(s))

= 6.0 J

K^{-1}

mol^{-1}

,

S°(CO_{2}(g))

= 210.0 J

K^{-1}

mol^{-1}

. Assume that the enthalpies and the entropies are temperature independent.

Q156·ChemistryMultiple correctJEE Advanced 2020

In thermodynamics the P-V work done is given by

w = -\int dV\, P_{ext}

. For a system undergoing a particular process, the work done is ,

w = -\int dV \left( \frac{RT}{V-b} - \frac{a}{V^2} \right)

. This equation is applicable to a

(A)System that satisfies the van der Waals equation of state.
(B)Process that is reversible and isothermal.
(C)Process that is reversible and adiabatic.
(D)Process that is irreversible and at constant pressure.

Q157·ChemistrySingle correctJEE Main 2020

The variation of equilibrium constant with temperature is given below: The value of

\Delta H^o

,

\Delta G^o

at

T_1

and

\Delta G^o

at

T_2

(in kJ mol

^{-1}

) respectively, are close to [Use

R = 8.314 J K^{-1} mol^{-1}

]

Temperature	Equilibrium Constant
$T_1 = 25^oC$	$K_1 = 10$
$T_2 = 100^oC$	$K_2 = 100$

(A)28.7, − 7.14 and − 5.71
(B)0.64 − 7.14 and − 5.71
(C)28.4, − 5.71 and − 14.29
(D)0.64, − 5.71 and −14.29

Q158·ChemistrySingle correctJEE Main 2020

Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol

^{-1}

and 4 kJ mol

^{-1}

, respectively. The hydration enthalpy of NaCl is:

(A)784 kJ mol $^{-1}$
(B)-784 kJ mol $^{-1}$
(C)780 kJ mol $^{-1}$
(D)-780 kJ mol $^{-1}$

Q159·ChemistrySingle correctJEE Main 2020

Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the volume. The work done is :

(A) $C_V(T_2 - T_1)$
(B) $-RT \ln V_2/V_1$
(C)zero
(D) $-RT\, V_2/V_1$

Q160·ChemistrySingle correctJEE Main 2020

For one mole of an ideal gas, which of these statements must be true? (a) U and H each depends only on temperature (b) Compressibility factor z is not equal to 1 (c)

C_{P,m} - C_{V,m} = R

(d)

dU = C_V dT

for any process

(A)(a), (c) and (d)
(B)(b), (c) and (d)
(C)(a) and (c)
(D)(c) and (d)

Q161·ChemistrySingle correctJEE Main 2020

If enthalpy of atomisation for Br

_{2}

(A) is x kJ/mol and bond enthalpy for Br

_{2}

is y kJ/mol, the relation between them:

(A)is x = y
(B)is x > y
(C)does not exist
(D)is x < y

Q162·ChemistryNumericalJEE Main 2020

The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in the figure is ________

Q163·ChemistryNumericalJEE Main 2020

At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is ____

Q164·ChemistryNumericalJEE Main 2020

For the reaction A(l)

\longrightarrow

2B(g)

\Delta U

= 2.1 Kcal,

\Delta S

= 20 cal K

^{-1}

at 300 K Hence

\Delta G

in Kcal is

Q165·ChemistryMultiple correctJEE Advanced 2019

Choose the reaction(s) from the following options, for which the standard enthalpy of reaction is equal to the standard enthalpy of formation.

(A)2C(g) + 3H $_{2}$ (g) $\longrightarrow$ C $_{2}$ H $_{6}$ (g)
(B) $\frac{3}{2}$ O $_{2}$ (g) $\longrightarrow$ O $_{3}$ (g)
(C)2H $_{2}$ (g) + O $_{2}$ (g) $\longrightarrow$ 2H $_{2}$ O( $\ell$ )
(D) $\frac{1}{8}$ S $_{8}$ (s) + O $_{2}$ (g) $\longrightarrow$ SO $_{2}$ (g)

Q166·ChemistrySingle correctJEE Main 2019

The INCORRECT match in the following is:

(A) $\Delta G^{\circ} < 0, K > 1$
(B) $\Delta G^{\circ} < 0, K < 1$
(C) $\Delta G^{\circ} = 0, K = 1$
(D) $\Delta G^{\circ} > 0, K < 1$

Q167·ChemistrySingle correctJEE Main 2019

An ideal gas is allowed to expand from 1 L to 10 L against a constant external pressure of 1bar. The work done in kJ is:

(A) $-9.0$
(B) $-0.9$
(C) $-2.0$
(D) $+10.0$

Q168·ChemistrySingle correctJEE Main 2019

Enthalpy of sublimation of iodine is 24 cal g

^{-1}

at 200°C. If specific heat of I

_2

(s) and I

_2

(vap) are 0.055 and 0.031 cal g

^{-1}

K

^{-1}

respectively, then enthalpy of sublimation of iodine at 250°C in cal g

^{-1}

is :

(A)2.85
(B)11.4
(C)5.7
(D)22.8

Q169·ChemistrySingle correctJEE Main 2019

The difference between ΔH and ΔU (ΔH - ΔU), when the combustion of one mole of heptane(I) is carried out a temperature T is equal to

(A)-4 RT
(B)-3 RT
(C)3 RT
(D)4 RT

Q170·ChemistrySingle correctJEE Main 2019

A process will be spontaneous at all temperatures if:

(A)ΔH < 0 and ΔS < 0
(B)ΔH < 0 and ΔS > 0
(C)ΔH > 0 and ΔS > 0
(D)ΔH > 0 and ΔS < 0

Q171·ChemistrySingle correctJEE Main 2019

During compression of a spring the work done is 10kJ and 2kJ escaped to the surroundings as heat. The change in internal energy,

\Delta U

(in kJ) is:

(A)8
(B)12
(C)-12
(D)-8

Q172·ChemistrySingle correctJEE Main 2019

Among the following the set of parameters that represents path functions, is: (a) q + w (b) q (c) w (d) H – TS

(A)(b) and (c)
(B)(b), (c) and (d)
(C)(a), (b) and (c)
(D)(a) and (d)

Q173·ChemistrySingle correctJEE Main 2019

Which one of the following equations does not correctly represent the first law of thermodynamics for the given processes involving an ideal gas? (Assume non–expansion work is zero)

(A)Adiabatic process: $\Delta U = -w$
(B)Isochoric process: $\Delta U = q$
(C)Cyclic process: $q = -w$
(D)Isothermal process: $q = -w$

Q174·ChemistrySingle correctJEE Main 2019

For silver

C_P (JK^{-1} mol^{-1}) = 23 + 0.01T

. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of

\Delta H

will be close to:

(A)13 kJ
(B)62 kJ
(C)16 kJ
(D)21 kJ

Q175·ChemistrySingle correctJEE Main 2019

5 moles of an ideal gas at 100 K are allowed to undergo reversible compression till its temperature becomes 200 K. If

C_V=28\ JK^{-1}mol^{-1}

, calculate

\Delta U

and

\Delta pV

for this process. (R = 8.0 J K

^{-1}

mol

^{-1}

)

(A) $\Delta U=2.8kJ;\Delta(pV)=0.8kJ$
(B) $\Delta U=14kJ;\Delta(pV)=4kJ$
(C) $\Delta U=14kJ;\Delta(pV)=18kJ$
(D) $\Delta U=14kJ;\Delta(pV)=0.8J$

Q176·ChemistrySingle correctJEE Main 2019

The combination of plots which do not represent isothermal expansion of an ideal gas is:

(A)(b) and (d)
(B)(a) and (c)
(C)(b) and (c)
(D)(a) and (d)

Q177·ChemistrySingle correctJEE Main 2019

For a disatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q178·ChemistrySingle correctJEE Main 2019

Given : (i)

C(graphite) + O_2(g) \rightarrow CO_2(g)

;

\Delta rH° = x

kJ mol

^{-1}

(ii)

C(graphite) + \frac{1}{2}O_2(g) \rightarrow CO(g)

;

\Delta rH° = y

kJ mol

^{-1}

(iii)

CO(g) + \frac{1}{2}O_2(g) \rightarrow CO_2(g)

;

\Delta rH° = z

kJ mol

^{-1}

Based on the above thermochemical equations, find out which one of the following algebraic relationships is correct?

(A) $x = y + z$
(B) $z = x + y$
(C) $y = 2z - x$
(D) $x = y - z$

Q179·ChemistrySingle correctJEE Main 2019

The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by

\Delta_{r}G^{0} = A - BT

Where A and B are non-zero constant. Which of the following is TRUE about this reaction?

(A)Endothermic if A > 0
(B)Exothermic if A > 0 and B < 0
(C)Endothermic if A < 0 and B > 0
(D)Exothermic if B < 0

Q180·ChemistrySingle correctJEE Main 2019

The reaction:

MgO(s) + C(s) \rightarrow Mg(s) + CO(g)

, for which

\Delta_{r}H^{0} = +491.1

kJ mol

^{-1}

and

\Delta_{r}S^{0} = 198.0

JK

^{-1}

mol

^{-1}

is not feasible at 298 K. Temperature above which reaction will be feasible is:

(A)2040.5 K
(B)1890.0K
(C)2480. K
(D)2380.K

Q181·ChemistrySingle correctJEE Main 2019

For the chemical reaction

X \rightleftharpoons Y

, the standard reaction Gibbs energy depends on temperature T (in K) as

\Delta_rG^0(\text{in kJ mol}^{-1}) = 120 - \dfrac{3}{8}T

The major component of the reaction mixture at T is:

(A)Y if T = 300 K
(B)Y if T = 280 K
(C)X if T = 350 K
(D)X if T = 315 K

Q182·ChemistrySingle correctJEE Main 2019

Two blocks of the same metal having same mass and at temperature

T_1

and

T_2

respectively, are brought in contact with each other and allowed to attain thermal equilibrium at constant pressure. The change in entropy,

\Delta S

, for this process is:

(A) $C_p \ln\left[\dfrac{(T_1+T_2)^2}{4T_1T_2}\right]$
(B) $2C_p \ln\left[\dfrac{(T_1+T_2)^{1/2}}{T_1T_2}\right]$
(C) $2C_p \ln\left[\dfrac{(T_1+T_2)}{4T_1T_2}\right]$
(D) $2C_p \ln\left[\dfrac{(T_1+T_2)}{2T_1T_2}\right]$

Q183·ChemistrySingle correctJEE Main 2019

A process that has

\Delta H = 200

J mol

^{-1}

and

\Delta S = 40

JK

^{-1}

mol

^{-1}

. Out of the values given below, choose the minimum temperature above which the process will be spontaneous:

(A)20 K
(B)12 K
(C)5 K
(D)4 K

Q184·ChemistrySingle correctJEE Main 2019

The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is: (Specific heat of water liquid and water vapours are 4.2 kJ K

^{-1}

kg

^{-1}

and 2.0 kJ K

^{-1}

kg

^{-1}

, heat of liquid fusion and vapourisation of water are 334 kJ kg

^{-1}

and 2491 kJ kg

^{-1}

, respectively) (log 273 = 2.436, log 373 = 2.572, log 383 = 2.583)

(A)7.90 kJ K $^{-1}$ kg $^{-1}$
(B)2.64 kJ K $^{-1}$ kg $^{-1}$
(C)8.49 kJ K $^{-1}$ kg $^{-1}$
(D)9.26 kJ K $^{-1}$ kg $^{-1}$

Q185·ChemistryNumericalJEE Advanced 2018

The surface of copper gets tarnished by the formation of copper oxide.

N_{2}

gas was passed to prevent the oxide formation during heating of copper at 1250 K. However, the

N_{2}

gas contains 1 mole % of water vapour as impurity. The water vapour oxidises copper as per the reaction given below:

2Cu(s) + H_{2}O(g) \rightarrow Cu_{2}O(s) + H_{2}(g)

p_{H_{2}}

is the minimum partial pressure of

H_{2}

(in bar) needed to prevent the oxidation at 1250 K. The value of

\ln\left(p_{H_{2}}\right)

is ____. (Given: total pressure = 1 bar,

R

(universal gas constant) = 8 J

K^{-1}

mol^{-1}

,

\ln(10)

= 2.3. Cu(s) and

Cu_{2}O(s)

are mutually immiscible. At 1250 K:

2Cu(s) + \frac{1}{2} O_{2}(g) \rightarrow Cu_{2}O(s)

;

\Delta G^{\ominus} = -78,000

J

mol^{-1}

H_{2}(g) + \frac{1}{2} O_{2}(g) \rightarrow H_{2}O(g)

;

\Delta G^{\ominus} = -1,78,000

J

mol^{-1}

;

G

is the Gibbs energy)

Q186·ChemistryMultiple correctJEE Advanced 2018

For a reaction,

A \rightleftharpoons P

, the plots of [A] and [P] with time at temperatures

T_{1}

and

T_{2}

are given below. If

T_{2} > T_{1}

, the correct statement(s) is (are) (Assume

\Delta H^{\ominus}

and

\Delta S^{\ominus}

are independent of temperature and ratio of

\ln K

at

T_{1}

to

\ln K

at

T_{2}

is greater than

T_{2}/T_{1}

. Here

H

,

S

,

G

and

K

are enthalpy, entropy, Gibbs energy and equilibrium constant, respectively.)

(A) $\Delta H^{\ominus} < 0, \Delta S^{\ominus} < 0$
(B) $\Delta G^{\ominus} < 0, \Delta H^{\ominus} > 0$
(C) $\Delta G^{\ominus} < 0, \Delta S^{\ominus} < 0$
(D) $\Delta G^{\ominus} < 0, \Delta S^{\ominus} > 0$

Q187·ChemistryMultiple correctJEE Advanced 2018

A reversible cyclic process for an ideal gas is shown below. Here,

P

,

V

, and

T

are pressure, volume and temperature, respectively. The thermodynamic parameters

q

,

w

,

H

and

U

are heat, work, enthalpy and internal energy, respectively. The correct option(s) is (are)

(A) $q_{AC} = \Delta U_{BC}$ and $w_{AB} = P_{2}(V_{2}-V_{1})$
(B) $w_{BC} = P_{2}(V_{2}-V_{1})$ and $q_{BC} = \Delta H_{AC}$
(C) $\Delta H_{CA} < \Delta U_{CA}$ and $q_{AC} = \Delta U_{BC}$
(D) $q_{BC} = \Delta H_{AC}$ and $\Delta H_{CA} > \Delta U_{CA}$

Q188·ChemistrySingle correctJEE Advanced 2017

The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at T = 298 K are

\Delta_{f}G^{0}\left[\mathrm{C(graphite)}\right] = 0\ \mathrm{kJ\,mol^{-1}}

\Delta_{f}G^{0}\left[\mathrm{C(diamond)}\right] = 2.9\ \mathrm{kJ\,mol^{-1}}

The standard state means that the pressure should be 1 bar, and substance should be pure at a given temperature. The conversion of graphite [C(graphite)] to diamond [C(diamond)] reduces its volume by

2\times10^{-6}\ \mathrm{m^{3}\,mol^{-1}}

. If C(graphite) is converted to C(diamond) isothermally at T = 298 K, the pressure at which C(graphite) is in equilibrium with C(diamond), is [Useful information: 1 J = 1 kg m

^{2}

s

^{-2}

; 1 Pa = 1 kg m

^{-1}

s

^{-2}

; 1 bar =

10^{5}

Pa]

(A)14501 bar
(B)58001 bar
(C)1450 bar
(D)29001 bar

Q189·ChemistryMultiple correctJEE Advanced 2017

An ideal gas is expanded from

(p_{1}, V_{1}, T_{1})

to

(p_{2}, V_{2}, T_{2})

under different conditions. The correct statement(s) among the following is(are)

(A)The work done on the gas is maximum when it is compressed irreversibly from $(p_{2}, V_{2})$ to $(p_{1}, V_{1})$ against constant pressure $p_{1}$
(B)The work done by the gas is less when it is expanded reversibly from $V_{1}$ to $V_{2}$ under adiabatic conditions as compared to that when expanded reversibly from $V_{1}$ to $V_{2}$ under isothermal conditions
(C)The change in internal energy of the gas is (i) zero, if it is expanded reversibly with $T_{1} = T_{2}$ , and (ii) positive, if it is expanded reversibly under adiabatic conditions with $T_{1} \neq T_{2}$
(D)If the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic

Q190·ChemistrySingle correctJEE Advanced 2016

One mole of an ideal gas at 300 K in thermal contact with surroundings expands isothermally from 1.0 L to 2.0 L against a constant pressure of 3.0 atm. In this process, the change in entropy of surrounding (

\Delta S_{surr}

) in

JK^{-1}

is (1 L atm = 101.3 J)

(A)5.763
(B)1.013
(C) $-1.013$
(D) $-5.763$

Q191·ChemistryMatrix matchJEE Advanced 2015

Match the thermodynamic processes given under Column I with the expression given under Column II:

Column I	Column II
A.Freezing of water at 273 K and 1 atm	P. $q = 0$
B.Expansion of 1 mol of an ideal gas into a vacuum under isolated conditions	Q. $w = 0$
C.Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container	R. $\Delta S_{\text{sys}} < 0$
D.Reversible heating of $\mathrm{H_{2}(g)}$ at 1 atm from 300 K to 600 K, followed by reversible cooling to 300 K at 1 atm	S. $\Delta U = 0$
	T. $\Delta G = 0$

Q192·ChemistryMultiple correctJEE Advanced 2015

When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a temperature increase of

5.7\,^{\circ}

C was measured for the beaker and its contents (

\mathbf{Expt.\ 1}

). Because the enthalpy of neutralization of a strong acid with a strong base is a constant (

-57.0

kJ mol

^{-1}

), this experiment could be used to measure the calorimeter constant. In a second experiment (

\mathbf{Expt.\ 2}

), 100 mL of 2.0 M acetic acid (

K_{a} = 2.0 \times 10^{-5}

) was mixed with 100 mL of 1.0 M NaOH (under identical conditions to

\mathbf{Expt.\ 1}

) where a temperature rise of

5.6\,^{\circ}

C was measured. (Consider heat capacity of all solutions as 4.2 J g

^{-1}

K

^{-1}

and density of all solutions as 1.0 g mL

^{-1}

) Enthalpy of dissociation (in kJ mol

^{-1}

) of acetic acid obtained from the

\mathbf{Expt.\ 2}

is

(A)1.0
(B)10.0
(C)24.5
(D)51.4

Q193·ChemistrySingle correctJEE Advanced 2014

For the process

\mathrm{H_2O}(\ell) \longrightarrow \mathrm{H_2O}(\mathrm{g})

at

T = 100^\circ\mathrm{C}

and 1 atmosphere pressure, the correct choice is

(A) $\Delta S_{\mathrm{system}} > 0$ and $\Delta S_{\mathrm{surrounding}} > 0$
(B) $\Delta S_{\mathrm{system}} > 0$ and $\Delta S_{\mathrm{surrounding}} < 0$
(C) $\Delta S_{\mathrm{system}} < 0$ and $\Delta S_{\mathrm{surrounding}} > 0$
(D) $\Delta S_{\mathrm{system}} < 0$ and $\Delta S_{\mathrm{surrounding}} < 0$

Q194·ChemistryMultiple correctJEE Advanced 2014

An ideal gas in a thermally insulated vessel at internal pressure

= P_1

, volume

= V_1

and absolute temperature

= T_1

expands irreversibly against zero external pressure, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are

P_2

,

V_2

and

T_2

, respectively. For this expansion,

(A) $q = 0$
(B) $T_2 = T_1$
(C) $P_2V_2 = P_1V_1$
(D) $P_2V_2^{\gamma} = P_1V_1^{\gamma}$

Q195·ChemistrySingle correctJEE Advanced 2013

The standard enthalpies of formation of

CO_2

(g),

H_2O

(l) and glucose(s) at 25

^{\circ}

C are –400 kJ/mol, –300 kJ/mol and –1300 kJ/mol, respectively. The standard enthalpy of combustion per gram of glucose at 25

^{\circ}

C is

(A)+2900 kJ
(B)–2900 kJ
(C)–16.11 kJ
(D)+16.11 kJ

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