Half-life of a reaction is found to be inversely proportional to the cube of its initial concentration. The order of reaction is

Options

A. `2`
B. `5`
C. `3`
D. `4`

Answer

D

Explanation

half-life of a reaction is found to be inversely proportional to the cube of initial concentration. The order of reaction is `4`.
`t_(1//2) = (1)/([a_(0)]^(3))`
Also, `t_(1//2) prop [a_(0)]^(1-n)`
`[a_(0)]^(1-3) = [1]^(1-3)`
`rArr -3 = 1-n`
`rArr n = 4`