Question

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

Answer 1

Consider a zero order reaction
$R\to P$
Rate $=\frac{-d\left[R\right]}{dt}=k[R{]}^o$
$\frac{-d\left[R\right]}{dt}=k[R{]}^o$
$\frac{-d\left[R\right]}{dt}=k$
$d\left[R\right]=-k\cdot dt$
Integrating on both sides
$\left[R\right]=-kt+I$ $\left(1\right)$
$k=\frac{[R{]}_o-[R]}{t}$