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 ATP. In this way, luciferase can test for the presence of life. The coupled reactions are

1.luciferin+O2oxyluciferin+light

2.ATPAMP+PPiG=31.6 kJ/mol

If the overall G of the coupled reaction is -4.80 kJ/moll , what is the equilibrium constant, K, of the first reaction at 13 C ?

Express your answer numerically.