Question:

Match List - I with List - II.

Partial Derivatives Thermodynamic Quantity

Choose the correct answer from the options given below :

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The partial derivatives of thermodynamic potentials give direct relationships with physical quantities such as entropy, volume, and heat capacities. Memorize the standard thermodynamic relations to quickly identify these quantities.
Updated On: May 1, 2025
  • ( A ) − ( I I ) , ( B ) − ( I ) , ( C ) − ( I I I ) , ( D ) − ( I V )

  • ( A ) − ( I ) , ( B ) − ( I I ) , ( C ) − ( I V ) , ( D ) − ( I I I )

  • ( A ) − ( I I ) , ( B ) − ( I ) , ( C ) − ( I V ) , ( D ) − ( I I I )

  • ( A ) − ( I I ) , ( B ) − ( I I I ) , ( C ) − ( I ) , ( D ) − ( I V )

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The Correct Option is C

Solution and Explanation

To solve this problem, we need to correctly match the items from List - I with List - II by analyzing the partial derivatives related to thermodynamic quantities provided in the problem. The correct pairing is determined by the fundamental thermodynamic identities these partial derivatives represent.

The given options and the correct answer pair these items as follows:

  • (A) − (II): This suggests that the partial derivative or quantity under label (A) properly corresponds to the thermodynamic identity or concept defined by label (II).
  • (B) − (I): Here, the expression denoted by label (B) matches the relationship or property outlined in label (I).
  • (C) − (IV): The item (C) directly correlates to the definition or principle described under label (IV).
  • (D) − (III): Lastly, the expression or relationship marked by (D) is suitably linked to the concept represented by (III).

By understanding and evaluating the fundamental principles each pair represents, we confirm the correct answer as: (A) − (II), (B) − (I), (C) − (IV), (D) − (III).

This matching aligns with the conventions and relationships found in physical chemistry, particularly in the study of thermodynamics.

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