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

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 single stage \\( w_D \\)

\( 20.0 \, \mathrm{dm^3} \) of an ideal gas ‘X’ at \( 600 \, \mathrm{K} \) and \( 0.5 \, \mathrm{MPa} \) undergoes isothermal reversible expansion until pressure of the gas is \( 0.2 \, \mathrm{MPa} \). Which of the following option is correct? (Given: \( \log 2 = 0.3010 \) and \( \log 5 = 0.6989 \))

The correct order of molar heat capacities measured at \( 298 \, \text{K} \) and \( 1 \, \text{bar} \) is:

If the enthalpy of sublimation of Li is \( 155 \, \mathrm{kJ \, mol^{-1}} \), enthalpy of dissociation of \( \mathrm{F_2} \) is \( 150 \, \mathrm{kJ \, mol^{-1}} \), ionization enthalpy of Li is \( 520 \, \mathrm{kJ \, mol^{-1}} \), electron gain enthalpy of F is \( -313 \, \mathrm{kJ \, mol^{-1}} \), standard enthalpy of formation of LiF is \( -594 \, \mathrm{kJ \, mol^{-1}} \). The magnitude of lattice enthalpy of LiF is ________ \( \mathrm{kJ \, mol^{-1}} .\) (Nearest Integer)

Match the LIST-I with LIST-II:

Choose the correct answer from the options given below:

Match List - I with List - II.

Choose the correct answer from the options given below :

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Statement II: In a constant volume process, no work is produced and all the heat withdrawn goes into the chaotic motion and is reflected by a temperature increase of the ideal gas.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 cup of water at \( 5^\circ \text{C} \) (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?

Which of the following graphs between pressure ‘\( p \)’ versus volume ‘\( V \)’ represents the maximum work done?

Consider the reaction \( \text{X} \rightleftharpoons \text{Y} \) at \( 300 \, \text{K} \). If \( \Delta H^\theta \) and \( K \) are \( 28.40 \, \text{kJ} \, \text{mol}^{-1} \) and \( 1.8 \times 10^{-7} \) at the same temperature, then the magnitude of \( \Delta S^\theta\) for the reaction in \( \text{J K}^{-1} \text{ mol}^{-1} \) is ________ (Nearest integer)
(Given : \( R = 8.3 \, \text{J K}^{-1} \, \text{mol}^{-1} \), \( \ln 10 = 2.3 \), \( \log 3 = 0.48 \), \( \log 2 = 0.30 \))

Use the following data:

One mole each of A\(_2\)(g) and B\(_2\)(g) are taken in a \( 1 \) L closed flask and allowed to establish the equilibrium at \( 500 \) K.

\( \mathrm{A_2(g) + B_2(g) \rightleftharpoons 2\,AB(g)} \)

The value of \( x \) (in \( \mathrm{kJ\,mol^{-1}} \)) is __________. (Nearest Integer)

(Given: \( \log K = 2.2 \) \( R = 8.3 \\ \mathrm{J\,K^{-1}\,mol^{-1}} \))

For the reaction, $\text{N}_2\text{O}_4 \rightleftharpoons 2\text{NO}_2$, graph is plotted as shown below. Identify correct statements.

A. Standard free energy change for the reaction is $-5.40\text{ kJ mol}^{-1}$.

B. As $\Delta G^{\ominus}$ in graph is positive, $\text{N}_2\text{O}_4$ will not dissociate into $\text{NO}_2$ at all.

C. Reverse reaction will go to completion.

D. When 1 mole of $\text{N}_2\text{O}_4$ changes into equi
librium mixture, value of $\Delta G^{\ominus} = -0.84\text{ kJ mol}^{-1}$.

E. When 2 mole of $\text{NO}_2$ changes into equilibrium mixture, $\Delta G^{\ominus}$ for equilibrium mixture is $-6.24\text{ kJ mol}^{-1}$.

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JEE Main 2026 21st Jan Morning Shift

Which of the following graphs between pressure ‘\( p \)’ versus volume ‘\( V \)’ represents the maximum work done?