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JEE MAIN Chemistry QUESTION #1011
Question 1
Match List-I (Partial Derivatives) with List-II (Thermodynamic Quantities): (A) \(\left(\dfrac{\partial G}{\partial T}\right)_P\) (B) \(\left(\dfrac{\partial H}{\partial T}\right)_P\) (C) \(\left(\dfrac{\partial G}{\partial P}\right)_T\) (D) \(\left(\dfrac{\partial U}{\partial T}\right)_V\) with (I) \(C_P\) (II) \(-S\) (III) \(C_V\) (IV) \(V\)
  • (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
  • (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
  • (A)-(II), (B)-(I), (C)-(IV), (D)-(III)✔️
  • (A)-(II), (B)-(III), (C)-(I), (D)-(IV)
Correct Answer Explanation
Using thermodynamic relations: \(\left(\frac{\partial G}{\partial T}\right)_P = -S\) (II). \(\left(\frac{\partial H}{\partial T}\right)_P = C_P\) (I). \(\left(\frac{\partial G}{\partial P}\right)_T = V\) (IV). \(\left(\frac{\partial U}{\partial T}\right)_V = C_V\) (III). Matching: A-II, B-I, C-IV, D-III.