Problem: Phosgene (Cl2CO), a poison gas used in World War I, is formed by the reaction of Cl2 and CO. The proposed mechanism for the reaction is Cl2 ⇌ 2 Cl     (fast, equilibrium) Cl + CO ⇌ ClCO     (fast, equilibrium)ClCO + Cl2 → Cl2CO + Cl     (fast)What rate law is consistent with this mechanism?

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The overall reaction is given as :

This means the rate law will have a general form of:

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Problem Details

Phosgene (Cl2CO), a poison gas used in World War I, is formed by the reaction of Cl2 and CO. The proposed mechanism for the reaction is
 Cl2 ⇌ 2 Cl     (fast, equilibrium)
 Cl + CO ⇌ ClCO     (fast, equilibrium)
ClCO + Cl2 → Cl2CO + Cl     (fast)

What rate law is consistent with this mechanism?

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