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 luciferin + O_2 oxyluciferin + light ATP AMP + PP_i If the overall deltaG of the coupled reaction is -7.70 kJ/mol. what is the equilibrium constant. K. of the first reactions at 13 degreeC ? The deltaG for the hydrolysis of ATP to AMP is -31.6 kJ/mol

Explanation / Answer

Part A - using,

dG = -RTlnK

-7.70 x 10^3 = -8.314 x (273 + 13) lnK

equilibrium constant, K = 25.49

Part B - Change in entropy for,

Entropy increases

H2(s) --> H2(g)

H2(l) ---> H2(g)

H2(s) --> H2(g)

Entropy decreases

H2(g) --> H2(s)

H2(l) --> H2(s)

H2(g) --> H2(l)

entropy remains the same

None

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