Firefly luciferase is the enzyme that allows fireflies to illuminate their abdomens. Because this light generation is an ATP-requiring reaction, firefly luciferase can be used to test for the presence of life. The coupled reactions are
1. luciferin + O2 ⇌ oxyluciferin + light
2. ATP ⇌ AMP + PPi ΔG° = -31.6 kJ/mol
If the overall ΔG° of the coupled reactions is -5.00 kJ/mol, what is the equilibrium constant, K, of the first reaction at 30 °C?
Express your answer numerically.