Question

For a chemical reaction, $X \to Y$ , the rate of reaction increases by a factor of $1.837$ when the concentration of $X$ is increased by $1.5$ times, the order of the reaction with respect to $X$ is

• A. $1$
• B. $1.5$
• C. $2$
• D. $2.5$

Answer 1

Answer: (B)

Initially rate $(r_{1})=k[X]^{n} \ldots(i)$
(let $n$ be the order of reaction)
then, $r_{1}\times1.837=k(1.5 \,X)^{n} \ldots(ii)$
dividing $\left(ii\right)$ by $\left(i\right)$
$1.837=\left(1.5\right)^{n}$
$\therefore n=1.5$
Thus, order of reaction is $1.5$.