Example $2$: A microfiltration membrane operating with pure feed of

water produces a flux of $0\mathrm{.}06k\frac{g}{s}*m^2$ when operated with a

transmembrane pressure of $30$kPa. $($a$)$ What is the resistance due to

the membrane?$($b$)$ If operated with a protein$-$water mixture at a $20$

kPa TMP difference, a flux of $216{10}^{-6}k\frac{g}{s}*m^2$ is measured at steady

state. What is the resistance due to cake build$-$up$?$

$($a$)5{10}^{5}s*kP\frac{a}{m},($b$)9\mathrm{.}2{10}^{7}s*kP\frac{a}{m}$