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Match List-I (Partial Derivatives) with List-II (Thermodynamic Quantity). List-I: (A) (∂G/∂T)p, (B) (∂H/∂T)p, (C) (∂G/∂P)T, (D) (∂U/∂T)V List-II: (I) Cp, (II) -S, (III) Cv, (IV) V Choose the correct answer from the options given below:
- (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
- (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
- (A)-(I), (B)-(II), (C)-(IV), (D)-(III)
- (A)-(II), (B)-(III), (C)-(I), (D)-(IV)
Correct answer: (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
Solution
The correct matches are based on the relationships between partial derivatives and thermodynamic quantities: (∂G/∂T)p relates to entropy (S), (∂H/∂T)p corresponds to heat capacity at constant pressure (Cp), (∂G/∂P)T gives the volume (V), and (∂U/∂T)V is associated with heat capacity at constant volume (Cv).
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