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Q. For a chemical reaction,
$m A \rightarrow xB$, the rate law is $r=k[A]^2$.
If the concentration of $A$ is doubled, the reaction rate will be,

KCETKCET 2016Chemical Kinetics

Solution:

$\because r=k[A]^{2}$ means $r \propto[A]^{2}$

Thus, when concentration of $A$ is doubled,

$r \propto[2 A]^{2} \propto 4[A]^{2}$

Hence. rate becomes quadrupled.