Question

The rate of the reaction between A and B increases by a factor of 25 when the concentration of A is increased five folds. The order of the reaction with respect to A is:

Answer 1

As we know,

$r=k[A{]}^n$ --------- 1

$r^{\prime }=k[5A{]}^n=25r$ ----- 2

From 1 and 2 equations.

$\frac{25r}{r}=25=\frac{k[5A{]}^n}{k[A{]}^n}=5^n;\Rightarrow n=2$