Problem

The hydration of CO2is catalyzed by the enzyme carbonic anhydrase. The steady-state kineti...

The hydration of CO2

is catalyzed by the enzyme carbonic anhydrase. The steady-state kinetics of the forward (hydration) and reverse (dehydration) reactions at pH 7.1, 0.5°C, and 2 mM phosphate buffer was studied using bovine carbonic anhydrase (H. DeVoe and G. B. Kistiakowsky, 1961, J. Am. Chem. Soc. 83:274). Some typical results for an enzyme concentration of 2.3 nM are

Hydration

Dehydration

1 /v (M-1 s)

[CO2], mM

1/v(M-1 s)

[HCO3-], mM

36 X 103

1.25

95 X103

2

20 X 103

2.5

45 X103

5

12 X 103

5

29 X103

10

6 X 103

20

24 X103

15

Plot the data in an appropriate way and determine the Michaelis constant KM and the rate coefficient k2 for the decomposition of the enzyme-substrate complex to form product for

a. The hydration reaction.


b. The dehydration reaction.


c. From your results, calculate the equilibrium constant for the reaction

(Hint: Start by writing an equation that defines the equilibrium condition in terms of the Michaelis-Menten formulation of this reaction. Note that the kinetics was measured at pH 7.1.)

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