Which of the following options correctly represents relationship between `t_(7//8)` and `t_(1//2)` where `t_(7//8)` represents time required for concentration to become `(1)/(8)`th of original for a reaction of order 'n'?

Options

A. `t_(7//8)=(2n+1)t_(1//2)`
B. `t_(7//8)=t_(1//2)[2^(n-1)-1]`
C. `t_(7//8)=t_(1//2)[2^(n-1)+1]`
D. `t_(7//8)=t_(1//2)[2^(2n-2)+1+2^(n-1)]`

Answer

D