For a reaction `Ato B` the rate of reaction becomes twenty seven times when the concentration of A is increased three times. What is the order of reaction?

Explanation

For the reaction, let rate(r ) = `k[A]^(n)`………………(i)
According to available data, (27r) = `k[3A]^(n)`………………(ii)
Divide eqn. (ii) by eqn. (i),
`(27r)/r = (k[3A]^(n))/(k[A]^(n)` or `27 = (3)^(n),(3)^(3) = (3)^(n)` or n=3, `therefore` order of reaction = 3