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Hi Charisse Vu 1H! We use the pre-equilibrium approach because it makes it easier to relate the rates of the forward and reverse reaction in the elementary reaction that occurs before the slowest step. The steady state approximation involves the use of differential equations which make it harder for us to create a rate law. The pre-equilibrium approach allows us to set the rates of the forward and reverse reaction as equal seeing as the elementary step is in equilibrium. With the rates equal we can solve for the intermediate concentration and substitute in the rate law of the slowest elementary step. I hope this helps!
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