In an MF process, an MF module is evaluated in the laboratory using de$-$ionized water and a flow of $250\frac{\text{I}}{m^2}h$ is

obtained at $20C$ and $0\mathrm{.}7$ bar of trans$-$membrane pressure difference.

In its scale operation in an industry The pharmaceutical company produces $84\frac{\text{I}}{m^2}h$ at $1\mathrm{.}1$ bar of trans$-$membrane

pressure just before performing a cleaning stage and $106\frac{\text{I}}{m^2}h$ at $0\mathrm{.}52$ bar immediately after cleaning both at a

temperature of $20C.$

Calculate:

i$)$ the membrane resistance coefficient $(R_m),$

ii$)$ the irreversible fouling coefficient $(R_{\text{i}\text{r}\text{r}})$ and

iii$)$ the reversible fouling resistance coefficient $($Rrev$).$

Data. Viscosity $H_{2}O20C10^{-3}k\frac{g}{m}.s,1$ bar $=100$kPa,${10}^5\frac{N}{m^2}={10}^{5}k\frac{g}{s^2}*m$