The rate expression for an nth - order reaction `(n != 1)` is

Options

A. `In ([R]_(0))/([R])= -kt`
B. `([R]^(-n+1)-[R]_(0)^(-n+1))/(-n+1)= -kt`
C. `([R]_(0)^(-n+1)-[R]^(-n+1))/(-n+1)= -kt`
D. `([R]^(-n-1)-[R]_(0)^(-n+1))/(n+1)= kt`

Answer

B

Explanation

For zero order reaction, integrater rate equation is
`[R]=[R]_(0)-kt`
Or `([R]^(-0+1)-[R]_(0)^(0+1))/(-0+1)=-kt`
For a second order reaction, the integrated rate equation is
`(1)/([R])-(1)[R]_(t))=kt`
Or ([R]^(-2+1)-[R]_(0)^(-2+1))/(-2+1)=-kt`
and so on