Derive an integrated rate equation for the rate constant of a zero order reaction.

Explanation

Consider a zero order reaction R - products
`"rate "=(d[R])/(dt)=-k[R]^(0)`
`(d[R])/(dt)=-k`
rearranging the terms
`d[R]=-kdt`
Integrating on both sides
`int d[R]=-kint dt`
`[R]=-kt+C" "rarr(1)`
`"Let "t=0,[R]=[R]_(0)=c" "rarr(2)`
`kt=[R]_(0)-[R]or[R]=-Kt+[R]_(0)`
`k=([R_(0)]-[R])/(t)`