Question

The Gibbs-Helmholtz equation relates:

• A. Enthalpy and entropy
• B. Gibbs free energy and enthalpy
• C. Internal energy and volume
• D. Work and entropy

Hint:

The Gibbs-Helmholtz equation is crucial in thermodynamics for determining the spontaneity of reactions, as it links entropy, enthalpy, and Gibbs free energy.

Answer 1

The Correct Option is B

The Gibbs-Helmholtz equation is used in thermodynamics to relate the Gibbs free energy to the enthalpy and entropy of a system. The equation is given by: \[ \Delta G = \Delta H - T \Delta S \] where:
- \( \Delta G \) is the change in Gibbs free energy,
- \( \Delta H \) is the change in enthalpy,
- \( T \) is the temperature, and
- \( \Delta S \) is the change in entropy.
This equation is fundamental in determining whether a process will occur spontaneously at constant temperature and pressure.
- Enthalpy and entropy: This option is incorrect because the Gibbs-Helmholtz equation specifically relates Gibbs free energy to both enthalpy and entropy, not just the first two alone.
- Gibbs free energy and enthalpy: This is the correct option as the Gibbs-Helmholtz equation indeed relates the Gibbs free energy to the enthalpy and entropy of the system.
- Internal energy and volume: This is incorrect. The equation does not directly relate internal energy to volume.
- Work and entropy: This is also incorrect as the Gibbs-Helmholtz equation does not directly involve the relationship between work and entropy.
Thus, the correct relation is between Gibbs free energy and enthalpy.