Question:
Enthalpy is equal to
Enthalpy is equal to
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The Gibbs-Helmholtz equation is used to calculate \(\Delta H\) from \(\Delta G\) data at different temperatures.
Updated On: Apr 20, 2026
- \(T^2 \left[\frac{d(G/T)}{dT}\right]_p\)
- \(-T^2 \left[\frac{d(G/T)}{dT}\right]_p\)
- \(T^2 \left[\frac{d(G/T)}{dT}\right]_V\)
- \(-T^2 \left[\frac{d(G/T)}{dT}\right]_V\)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
Gibbs-Helmholtz equation relates Gibbs free energy, enthalpy, and temperature.
Step 2: Detailed 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: Final Answer:
\(-T^2 \left[\frac{d(G/T)}{dT}\right]_p\)
Gibbs-Helmholtz equation relates Gibbs free energy, enthalpy, and temperature.
Step 2: Detailed 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: Final Answer:
\(-T^2 \left[\frac{d(G/T)}{dT}\right]_p\)
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