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Q.
For a reaction $X \to Y$, the rate of reaction becomes twenty seven times when the concentration of $X$ is increased three times. What is the order of the reaction?
Chemical Kinetics
Solution:
Let rate of reaction $R =k\left[X\right]^{n} \ldots\left(i\right)$
$27R =k\left[3X\right]^{n} \ldots\left(ii\right)$
or $27=3^{n}$
[Dividing $\left(ii\right)$ by $\left(i\right)]$
or $3^{3}=3^{n}$
or $n=3$