An equation used to evaluate vacuum filtration is [ Q=frac{Delta p A^{2}}{alphaleft(forall R w+A R_{f} ight)} ]

An equation used to evaluate vacuum filtration is

\[ Q=\frac{\Delta p A^{2}}{\alpha\left(\forall R w+A R_{f}\right)} \]

Where \(Q \doteq L^{3} / T\) is the filtrate volume flow rate, \(\Delta p \doteq F / L^{2}\) the vacuum pressure differential, \(A \doteq L^{2}\) the filter area, \(\alpha\) the filtrate "viscosity," \(\forall \doteq L^{3}\) the filtrate volume, \(R \doteq L / F\) the sludge specific resistance, \(w \doteq F / L^{3}\) the weight of dry sludge per unit volume of filtrate, and \(R_{f}\) the specific resistance of the filter medium. What are the dimensions of \(R_{f}\) and and \(\alpha\) ?