Firefly luciferase is the enzyme that allows fireflies to illuminate their abdom

Question

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 1.2.luciferin+O2ATP??oxyluciferin+lightAMP+PPi?G?=?31.6 kJ/mol If the overall ?G? of the coupled reaction is -7.70 kJ/mol , what is the equilibrium constant, K, of the first reaction at 16 ?C ? Express your answer numerically. this is all the information in problem.

Explanation / Answer

Solution) SEE, we know that. ?G?=?31.6 kJ/mol and T= 289.15 K

?G?=?31.6 kJ/mol= -R *T* ln(Keq)

-31.6 *1000J/mol = -(8.314 J / mol. K.)* 289.15K *  ln(Keq)

So now,  ln(Keq) = 13.1447

Keq = 5.118 *105

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