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

The correct option is B $1.5$

Initially rate $\left(r_1\right)=k[X{]}^n....(i)$

(let $n$ be the order of reaction)

then, $r_1\times 1.837=k(1.5X{)}^n....(ii)$

dividing (ii) by (i)

$1.837=(1.5{)}^n$

$\therefore n=1.5$

Thus, order of reaction is $1.5$.