Question

Enthalpy is equal to

• A. \( -T^2 \left[ \frac{\partial (\Delta G)}{\partial T} \right]_P \)
• B. \( -T^2 \left[ \frac{\partial (\Delta G)}{\partial T} \right]_V \)
• C. \( T^2 \left[ \frac{\partial (\Delta G)}{\partial T} \right]_P \)
• D. \( T^2 \left[ \frac{\partial (\Delta G)}{\partial T} \right]_V \)

Hint:

Enthalpy can be related to the change in Gibbs free energy with temperature at constant volume.

Answer 1

The Correct Option is D

Step 1: Relation of enthalpy.
Enthalpy can be expressed in terms of Gibbs free energy and temperature by the relation \( H = T^2 \left[ \frac{\partial (\Delta G)}{\partial T} \right]_V \).

Step 2: Conclusion.
Thus, the correct answer is option (D).

Final Answer: \[ \boxed{\text{(D) } T^2 \left[ \frac{\partial (\Delta G)}{\partial T} \right]_V} \]