Michaelis and Menten derived their rate law by assuming a rapid pre-equilibrium of E, S, and ES. Derive the rate law in this manner, and identify the conditions under which it becomes the same as that based on the steady-state approximation (eqn 20H.1). 

Data in eqn 20H.1

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V= k₂ [E]o 1+ KM/[S]o Michaelis-Menten equation (20H.1)