Question

1) Firefly luciferase is the enzyme that allows fireflies to illuminate their abdomens. Because this light...

1)

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+O2ATP⇌⇌oxyluciferin+lightAMP+PPi

If the overall ΔG of the coupled reaction is -4.30 kJ/mol , what is the equilibrium constant, K, of the first reactions at 29 ∘C ? The ΔG for the hydrolysis of ATP to AMP is −31.6 kJ/mol.

Express your answer numerically.

Homework Answers

Answer #1

This equation should be used to find K.

K = e^(-standard ΔG/(RT))

R is 8.314J/(molK) and T is 302K. The standard ΔG is found by subtracting the standard ΔG for the hydrolysis of ATP to AMP from the standard ΔG of the coupled reaction.

standard ΔG of first reaction = ΔG of the coupled reaction - ΔG for the hydrolysis of ATP to AMP
standard ΔG of first reaction = -4.30kJ/mol - (−31.6 kJ/mol)
standard ΔG of first reaction = -4.30kJ/mol + 31.6 kJ/mol
standard ΔG of first reaction = 27.3kJ/mol
standard ΔG of first reaction = 27300J/mol

Put in the known values into the first equation to find K.

K = e^(-(27300J/mol)/(8.314J/(molK)*302K))
K = e^(-(27300J/mol)/(2510.828J/mol))
K = e^(-10.8729072641)
K = 0.00001896515

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