17. NEED HELP FAST

Question

The decomposition of a generic diatomic element in its standard state is represented by the equation

12X2(g)⟶X(g)

Assume that the standard molar Gibbs energy of formation of X(g) is  5.77 kJ·mol−1  at  2000 . K and  −52.18 kJ·mol−1  at  3000 . K. Determine the value of the thermodynamic equilibrium constant,  𝐾 , at each temperature.

At  2000 . K,  Δ𝐺f=5.77 kJ·mol−1 . What is  𝐾  at that temperature?

𝐾 at 2000. K=

At  3000 . K,  Δ𝐺f=−52.18 kJ·mol−1 . What is K at that temperature?

𝐾 at 3000. K=

Answer 1

The key to solving to this question is to remember the relationship between K_eq and ΔG.

ΔG = -RT ln K_eq

It is just a matter of solving for K_eq -- K_eq = -ΔG/RT where R = 8.314 Joules mol^-1 K^-1