Consider a $100cm$ long column with a cross sectional area of $10c{m}^2$ packed with a medium with a permeability of ${10}^{-12}{m}^2$ with pressure heads at the top and bottom of $0$ and $200cm,$ respectively. Remember to do unit analysis.

$($a$)$ What is the Darcy Flux, otherwise known as the specific discharge?

$($b$)$ What is the volumetric flow rate of water?

$($c$)$ If the medium has a porosity of $n=0\mathrm{.}33,$ then on average, how long does it take a particle of water to flow through the column?