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

Explanation

Consider a zero order reaction.
`R to P`
Rate ` = (-d[R])/(dt) = k[R]^(0)`
Where k is rate constant for zero order reaction.
`(-d[R])/(dt) = k`
`d[R] = -k, dt`
Integrating both sides
`int d[R] = - intk.dt`
`[R] = -kt + 1 " "...(1)`
I is constant of integration.
At t = 0, [R] = `[R]_(0)` is initial concentration of reaction Substituting in equation. `" "...(1)`
`[R]_(0) = -k xx 0 +I, " " I = [R]_(0)`
Substituting I value in equation ... (1)
` [R] = -kt + [R]_(0)`
`k = ([R]_(0) -[R])/(t)`