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  4. In a reaction, A + B → C, the rate expression is R = k [A] [B]2. If the concentration of both the reactant is doubled at constant volume, then the rate of the reaction will be

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Q. In a reaction, $A + B \to C$, the rate expression is $R = k [A] [B]^2$. If the concentration of both the reactant is doubled at constant volume, then the rate of the reaction will be

UPSEEUPSEE 2015Chemical Kinetics

Solution:

Given, $R=k[A][B]^{2}$

when $[A]' =[2 A] $ and $[B]'=[2 B] $

$ R' =k[2 A][2 B]^{2} $

$=k[2 A] 4[B]^{2}=8 k[A][B]^{2}$

$ \Rightarrow \, R'=8 R $

Thus, the rate will become eight times