JEE Main 2025 Jan 22 Shift 2, Chemistry Q9: Basic Concepts of Thermodynamic

JEE Main2025Jan 22, Shift 2Chemistry

Match List-I with List-II.

List-I (Partial Derivatives)	List-II (Thermodynamic Quantity)
(A) $(\frac{\partial G}{\partial T})_{P}$	(I) $C_{P}$
(B) $(\frac{\partial H}{\partial T})_{P}$	(II) $- S$
(C) $(\frac{\partial G}{\partial P})_{T}$	(III) $C_{V}$
(D) $(\frac{\partial U}{\partial T})_{V}$	(IV) $V$

Choose the correct answer from the options given below :

Solution

Starting from the fundamental relation $d G = V d P - S d T$ :

(A) At constant $P$ : $(\frac{\partial G}{\partial T})_{P} = - S$ . Match: (A) $-$ (II).

(B) The definition of heat capacity at constant pressure: $(\frac{\partial H}{\partial T})_{P} = C_{P}$ . Match: (B) $-$ (I).

(D) Similarly at constant volume: $(\frac{\partial U}{\partial T})_{V} = C_{V}$ . Match: (D) $-$ (III).

$∴$ The correct mapping is option (2): (A)-(II), (B)-(I), (C)-(IV), (D)-(III).

Concept behind this question

Concept-wise practice with instant solutions on Fundamenthol.