For the reaction `A rarr` Products, it is found that the rate of reaction increases by a factor of `6.25` when concentration of `A` increases by a factor of `2.5`. Calculate the order of reaction with respect to `A`.

Answer

2

Explanation

Rate `(r ) = k[A]^(n) = k[X]^(n)` …(i)
`6.25 xx r k(2.5X)^(n)` …(ii)
or `6.25 xx k xx(X)^(n) = k(2.5 xxX)^(n)`
`rArr ((2.5)/(X))^(n) = 6.25 rArr (2.5)^(n) = (2.5)^(n)`
`:. n = 2`