Question

Enthalpy is equal to

• A. \(T^2 \left[\frac{d(G/T)}{dT}\right]_p\)
• B. \(-T^2 \left[\frac{d(G/T)}{dT}\right]_p\)
• C. \(T^2 \left[\frac{d(G/T)}{dT}\right]_V\)
• D. \(-T^2 \left[\frac{d(G/T)}{dT}\right]_V\)

Hint:

The Gibbs-Helmholtz equation is used to calculate \(\Delta H\) from \(\Delta G\) data at different temperatures.

Answer 1

The Correct Option is B

Step 1: Underlying Concept:
Gibbs-Helmholtz equation relates Gibbs free energy, enthalpy, and temperature.
Step 2: Explanation:
The Gibbs-Helmholtz equation is: \(\left[\frac{\partial (G/T)}{\partial T}\right]_p = -\frac{H}{T^2}\).
Rearranging: \(H = -T^2 \left[\frac{\partial (G/T)}{\partial T}\right]_p\).
Step 3: Conclusion:
\(-T^2 \left[\frac{d(G/T)}{dT}\right]_p\)