Half-life of a reaction is found to be inversely proportional to the fifth power of its initial concentration, the order of reaction is

Step-by-step solution

The half-life period of n th order reaction is t_ 1 / 2 = k a^ n-1 . a is the initial concentration of reactant t_ 1 / 2 1 a^5 aligned t_ 1 / 2 & = k a^5 and k a^ n-1 = k a^5 a^5 & =a^ n-1 n-1 & =5=6 aligned The order of the reaction is 6 .