Question

Explain why dG is dependent on T, dH, and dS.

a) dG depends on T because of temperature fluctuations.

b) dG depends on dH because of enthalpy changes.

c) dG depends on dS because of entropy changes.

d) dG depends on T, dH, and dS due to the Gibbs-Helmholtz equation.

Answer 1

dG, the change in Gibbs free energy, depends on temperature (T), enthalpy (dH), and entropy (dS) due to the Gibbs-Helmholtz equation.

Step-by-step explanation:

dG, the change in Gibbs free energy, is dependent on temperature (T), enthalpy (dH), and entropy (dS) due to the Gibbs-Helmholtz equation. This equation relates the free energy change to the enthalpy and entropy changes for a process.

Temperature fluctuations affect dG because temperature is directly related to the entropy change (TAS term) in the equation. Enthalpy changes (dH) also impact dG because the enthalpy term (AH) appears in the equation. Similarly, entropy changes (dS) affect dG as entropy is part of the equation. Overall, all three factors - T, dH, and dS - are important in determining the change in Gibbs free energy.