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

Explanation

(a) Consider a reaction which is of zero order, `Rrarr P`
`Rate = -d[R]/dt = K[R]^(0) = -d[R]/dt = K`
`d[R] = -kdt`
integrating both sides we get,
`int d[R] = int-kdt`
[R] = -kt + 1
where, I is the constant of integration.
When t = 0, [R] = [R]0, where [R]0 is initial concentration of the reactant. Substituting in equation (i) we get,
`[R]0 = -k xx 0 + 1`
[R]0 = 1: Substituting the value of I in equation (i), we get, `[R] = -kt + [R]^(0)`
`kt = [R]^(0) - [R]`
`k = ([R]^(0) - [R])/t`
(b)