Question

The rate of decomposition of a substance increases by a factor 2.25 for 1.5 times increase in the concentration of the substance at the same temperature. Find out the order of the reaction?

Answer 1

Now, for decomposition reaction rate law can be written as

$\frac{d\left[A\right]}{dt}=-k[A{]}^n$ ------ 1

Here "n" is the order of reaction.
As per the given condition

$2.25\frac{d\left[A\right]}{dt}dt=-k{\left[1.5A\right]}^n$ ------- 2
Solving 1 and 2 equation we get $n=2$

Ans-2