Initial concentration of reactant for nth order reaction is ‘a’. Which of the following relations is correct about `t_(1//2)` of the reaction ?

Options

A. `ln t_(1//2)=ln("constant")-(n-1)log_(e)a`
B. `ln t_(1//2)=ln("constant")-ln a`
C. `t_(1//2)ln n=ln("constant")+ln a_(0)`
D. `ln t_(1//2)=nln a_(0)`

Answer

A

Explanation

`t_(1//2) prop (1)/(a^(n-1))`
`t_(1//2)-k(1)/(a^(n-1))`
`ln t_(1//2)=ln k -(n-1) log_(e)a`.