Regarding units of water potential and chemical potential If water potential is nothing but the chemical potential of a given solution, then why do their units differ?

If the unit for the latter is taken as 'Energy per molecule' (which makes sense to me mathematically), then why is the former measured is 'Pressure'(Pascal)?
According to German Wikipedia water potential is defined as
$$\psi := \frac{\mu - \mu_0}{\bar{V}},\tag{1}$$
where $\mu_0$ is the standard chemical potential (usually pure water at atmospheric pressure at a specified reference height), and $\bar{V} \approx \pu{18 cm3 mol-1}$ is the molar volume of pure liquid water.
This means that water potential $\psi$ is defined as energy $E$ per volume $V$, which is equivalent to pressure $p$ if you perform dimensional analysis:
$$[\psi] = \frac{[E]}{[V]} = \frac{\mathsf{L}^2·\mathsf{M}·\mathsf{T}^{−2}}{\mathsf{L}^3} = \mathsf{M}·\mathsf{L}^{−1}·\mathsf{T}^{−2} = [p]\tag{2}$$
Megapascal $\pu{MPa}$ is usually used as the unit of measurement; tensiometers are usually graded in hectopascals $\pu{hPa}.$