Consider the following mechanism

CHEMISTRY · Single correct · A Level · Chemistry · Rate equations · Rate equations

Problem

Consider the following mechanism, in which Steps 1 and 2 are rapid and reversible and Step 3 is slow. Step 1 X + Y ⇌ Z (fast) K₁ Step 2 Z + Y ⇌ W (fast) K₂ Step 3 W → products (slow) kₛ Which rate law is most consistent with this mechanism? (a) rate=ksK1K2[X]2[Y]\text{rate}=k_{s}K_{1}K_{2}[X]^{2}[Y] (b) rate=ks[X][Y]2\text{rate}=k_{s}[X][Y]^{2} (c) rate=ksK1K2[X][Y]2\text{rate}=k_{s}K_{1}K_{2}[X][Y]^{2} (d) rate=ksK1[X][Y]2\text{rate}=k_{s}K_{1}[X][Y]^{2}

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