Rate Law From a Reaction Mechanism
A reaction is proposed to occur via the following mechanism:
Step 1: $$A + A \rightarrow X$$ (fast)
Step 2: $$X + B \rightarrow Y$$ (slow)
Step 3: $$Y + B \rightarrow C$$ (fast)
Given that the second step is the rate-determining step and assuming the first step establishes a rapid equilibrium, what is the rate law for the formation of product C?
A
$$k[A]^2[B]$$
B
$$k[A][B]^2$$
C
$$k[A]^2[B]^2$$
D
$$k[A][B]$$
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