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

Explanation

Consider a zero order reaction. `R rarr " product"`
`(-d(R ))/(dt)=K[R]^(0)" Where K is the rate constant for a zero order reaction."`
`(-dR)/(dt)=K`
`dR=-Kdt`
`int dR=int-Kdt`
`R=-Kt+I" (1)"`
`"When "t=0, [R]=[R]_(0)`
`[R]_(0)=I`
`R=-Kt+R_(0)`
`Kt=R_(0)-R`
`K=(R_(0)-R)/(t)`