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Liula [17]
3 years ago
13

Given the following proposed mechanism, predict the rate law for the overall reaction. A2 + 2 B → 2 AB (overall reaction) Mechan

ism A2 ⇌ 2 A fast A + B → AB slow
Chemistry
1 answer:
nlexa [21]3 years ago
5 0

Answer:

The rate of the over all reaction is ;

R=K[A_2]^{1/2}[B]

Explanation:

Step 1 : A_2\rightleftharpoons 2 A fast

Step 2  : A + B\rightarrow AB slow

Equilibrium constant of the reaction in step 1:

K_1=\frac{[A]^2}{[A_2]}....[1]

Overall reaction:

A_2 + 2 B \rightarrow 2 AB

When there is a chemical reaction which taking place in more than 1 step than the rate of the over all reaction is determined by the slowest step occurring during that process;

Here step 2 is slow step, so the rate of the reaction will be;

R=k[A][B]..[2]

Putting value of [A] from [1] in [2]:

R=k\times \sqrt{K_1\times [A_2]}\times [B]

K=k\times (K_1)^{1/2}

K = rate constant of the reaction

The rate of the over all reaction is ;

R=K[A_2]^{1/2}[B]

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