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