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Law of Mass Action

For a reactio...

Question

For a reaction between $A$ and $B$ the order with respect to $A$ is $2$ and the order with respect to $B$ is $3$ . The concentrations of both $A$ and $B$ are doubled, the rate will increase by a factor of:

A

12

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B

16

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C

32

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D

10

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Solution

The correct option is C $32$
$R a t e_{1} = k [A]^{2} [B]^{3}$
$R a t e_{2} = k [2 A]^{2} [2 B]^{3}$
$R a t e_{2} = 32 k [2 A]^{2} [B]^{3}$
$∴ R a t e_{2} = 32 R a t e_{1}$

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