The enzyme Fumarase catalyzes the following reaction:
S + E ↔ ES → P + E
where k1 and k-1 are the rate constants of the reversible reaction step (forward and reverse reaction, respectively) and k2 is for the irreversible step. The values of k1, k-1, and k2 are 10^9 M^-1s^-1, 4.4 x 10^4 s^-1, and 10^3 s^-1, respectively.
(a) What is the value of the Michaelis constant for fumarase?
(b) At an enzyme concentration of 10^-6 M, what will be the initial rate of product formation at an initial substrate concentration of 10^-3 M?