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Reaction Mechanisms and Rate Law

AP Chemistry· difficulty 4/5

Observed: rate = k[NO]^2[H2] Step 1 (fast eq): 2 NO ⇌ N2O2 Step 2 (slow): N2O2 + H2 -> N2O + H2O Step 3 (fast): N2O + H2 -> N2 + H2O

Is the proposed mechanism consistent with the observed rate law?

  • A

    Yes; rate = k2K[NO]^2[H2] matches

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  • B

    No; predicted rate is k[NO][H2]

  • C

    Cannot be determined

  • D

    No; predicted rate is zero order

Explanation

Slow step rate = k2[N2O2][H2]; substitute [N2O2] = K[NO]^2 to get k[NO]^2[H2]. Matches observed.

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