Write the unit of the rate constant for the following reactions:
$1.$ $5/2$ order
$2.$ $n$ order

(N/A) The general formula for the unit of the rate constant $(k)$ for a reaction of order $n$ is given by:
$k = (\text{concentration})^{1-n} \times (\text{time})^{-1}$
Using molarity $(M = \text{mol L}^{-1})$ and time in seconds $(s)$:
$1.$ For $n = 5/2$:
Unit $= (\text{mol L}^{-1})^{1 - 5/2} \times s^{-1} = (\text{mol L}^{-1})^{-3/2} \times s^{-1} = \text{mol}^{-3/2} \text{L}^{3/2} \text{s}^{-1}$
$2.$ For $n$ order:
Unit $= (\text{mol L}^{-1})^{1-n} \text{s}^{-1}$