The following equation represents the decomposition of a generic diatomic element in its standard state.

1/2X_{2 (}g) ⇌ X (g)

Assume that the standard molar Gibbs energy of formation of X(g) is 4.82 kJ·mol–1 at 2000 K and –58.08 kJ·mol–1 at 3000 K.

a. Determine the value of K (the thermodynamic equilibrium constant) at each temperature.

b. Assuming that ΔH°rxn is independent of temperature, determine the value of ΔH°rxn from these data.

Gibbs Free Energy