$5\mathrm{.}1$ A $98\%$ efficient ESP is to treat a gas stream flowing at $5000$m$^(3)/$min$.$ If the effective drift velocity is $6\mathrm{.}0$cm$/$s$,$ calculate $($a$)$ the plate area $($required and actual$)$ in m$^(2),$ and $($b$)$ the number of plates if each plate is $6$m by $10$m$,$ and there are $3$ sections in the direction of flow. $5\mathrm{.}2$ Assume that the ESP of Problem $5\mathrm{.}1$ is built with an actual collection area of $5400$m$^(2).$ Now suppose that the actual drift velocity turns out to be $5\mathrm{.}0$cm$/$s and the actual gas flow turns out to be $5500$m$^3/$min$.$ Calculate the actual efficiency.