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Q. For the elementary reaction, $M\rightarrow N$, the rate of disappearance of $M$ increases by a factor of $8$ upon doubling the concentration of $M$. The order of the reaction with respect to $M$ is

JEE AdvancedJEE Advanced 2014Chemical Kinetics

Solution:

$\frac{ r _{1}}{ r _{2}}=\frac{1}{8}=\frac{[ M ]^{ n }}{[2 M ]^{ n }} \Rightarrow n =3$