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+O2ATPoxyluciferin+lightAMP+PPiG=31.6 kJ/mol

If the overall G of the coupled reaction is -7.00 kJ/mol , what is the equilibrium constant, K, of the first reaction at 28 C ?

Express your answer numerically.

Explanation / Answer

luciferin+O2ATPoxyluciferin+lightAMP... deltaGo1=-31.6 Kj/mole

deltaG0 for 1st reaction = deltaGo for coupled reaction-deltaGo1 =-7+31.6=24.6 Kj/mole

deltaGo= -RT lnK= 24.6*1000 J/mole, R= 8.314 J/mole

T= 37 deg.c =28+273= 301, lnK= (-24.6*1000/8.314*301), K= 5.4*10-4

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