General unit for rate constant = $\big(\frac{mol}{L}\big)^{1-n} \, s^{-1}$
(where, n = order of reaction)
Given, unit for rate constant = $\big(\frac{mol}{L}\big) \, s^{-1}$
On comparing,
$ \big(\frac{mol}{L}\big)^{1-n} \, s^{-1} = \big(\frac{mol}{L}\big) \, s^{-1}$
$ 1 - n = 1$
$\therefore n = 0$
Hence, the order of reaction is zero.