The half-life periof and initial concentration for a reaction are as follows. What is order of reaction ?
`|{:("Initial concentration (M)",350,540,158),(t_(1//2) (hr),425,275,941):}|`

Options

A. 0
B. 1
C. 2
D. 1/2

Answer

C

Explanation

`t_(1//2) prop (a)^(1-n)`
`{:("For I" ,rArr,425 prop(350)^(1-n),,...(i)),("For II",rArr,275 prop (540)^(1-n),,...(ii)),("For III",rArr,941 prop (158)^(1-n),,...(iii)):}`
By Eqs. (i) and (ii), `(425)/(275) = ((350)/(540))^(1-n)`
Taking `log.rarr log.(425)/(275) = (1-n) log.(350)/(540) rArr n = 2`