Question

Match the LIST-I with LIST-II:

• A. A-III, B-IV, C-II, D-I
• B. A-III, B-I, C-II, D-IV
• C. A-IV, B-III, C-I, D-II
• D. A-III, B-IV, C-I, D-II

Hint:

Easy way to remember: Volume goes with U (Internal Energy) $\rightarrow C_V$. Pressure goes with H (Enthalpy) $\rightarrow C_P$. Joule-Thomson is always about "Throttling" (Constant H).

Answer 1

The Correct Option is D

Concept: Thermodynamic properties are defined by partial derivatives of state functions (U, H, G, etc.). Understanding these definitions is key to applying the First and Second Laws of Thermodynamics.

Step 1: Match A (Entropy).
For a reversible process, Entropy (S) (A) is defined by the Clausius inequality/equality as \( dS = \delta q / T \) (III).

Step 2: Match B and C (Heat Capacities).
\(C_P\) (B) is the heat capacity at constant pressure, defined as the rate of change of enthalpy with temperature: \( (\partial H / \partial T)_P \) (IV). \(C_V\) (C) is at constant volume, defined as the change in internal energy: \( (\partial U / \partial T)_V \) (I).

Step 3: Match D (Joule-Thomson).
The Joule-Thomson coefficient ($\mu_{JT}$) (D) describes the temperature change of a gas during an isenthalpic expansion: \( (\partial T / \partial P)_H \) (II).