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AP Chemistry/Unit 5: Kinetics
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Rate Law from a Multi-Step Mechanism

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A reaction proceeds according to the proposed multi-step mechanism shown below. What is the rate law derived from this mechanism?
Step 1: X₂ ⇌ 2X (fast equilibrium, K₁)
Step 2: X + Y₂ ⇌ XY + Y (fast equilibrium, K₂)
Step 3: XY + Z → XZ + Y (slow)

A

Rate = k[X₂]^{1/2}[Y₂][Z]

B

Rate = k[XY][Z]

C

Rate = k[X][Y₂][Z]

D

Rate = k[X₂][Y₂][Z]

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