a$)$ Derive the Darcy$-$Weisbach Equation $($shown in Equation $(2)$ below$)$ from first principles

in terms of flow delivered, $Q,$ for pipes running full of fluid.

$(13$ marks$)$

$h_f=\frac{fl{Q}^2}{0\mathrm{.}8D^5}$

Eq$.(2)$