Question

Match List-I with List-II 

List-I	Thermodynamic Quantity / Relation	List-II	Expression
A	Maxwell Thermodynamic Relation	IV	Maxwell relation
B	Clausius-Clapeyron Equation	III	\[ \frac{dP}{dT}=\frac{L}{T(V_2-V_1)} \]
C	Enthalpy	II	\[ H=U+PV \]
D	Gibbs function	I	\[ G=U-TS+PV \]

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

Hint:

Remember \(H=U+PV\) and \(G=H-TS=U+PV-TS\).

Answer 1

The Correct Option is B

Concept:
This question matches thermodynamic quantities and equations with their correct mathematical forms.

Step 1: Maxwell thermodynamic relation.
Maxwell thermodynamic relation corresponds to Maxwell relation. \[ A\rightarrow IV \]

Step 2: Clausius-Clapeyron equation.
Clausius-Clapeyron equation is: \[ \frac{dP}{dT}=\frac{L}{T(V_2-V_1)} \] \[ B\rightarrow III \]

Step 3: Enthalpy.
Enthalpy is: \[ H=U+PV \] \[ C\rightarrow II \]

Step 4: Gibbs function.
Gibbs free energy is: \[ G=U-TS+PV \] \[ D\rightarrow I \] Therefore: \[ A-IV,\ B-III,\ C-II,\ D-I \] \[ \therefore \text{Correct Answer is (B)} \]