Question

Rate of a reaction is given by the equation. $Rate=k{\left[A\right]}^2\left[B\right]$. What are the units for the rate and the rate constant for this reaction?

Answer 1

for any orders of Reaction

Unit of Rate constant=$M^{1-n}{S}^{-1}$

=$(\frac{mole}{L}{)}^{1-n}{S}^{-1}$

=$mol{e}^{1-n}{L}^{-1}S-1$ [n=order of reaction]

$R=K\left[A{]}^2\right[B{]}^1\to here=n=2+1=3$

so,

unit of Rate constant= $mo{l}^{1-3}{L}^{3-1}{S}^{-1}$

$mol{e}^{-2}{L}^2{S}^{-1}$