It is required to concentrate a protein solution $($MW $=1213)$ by batch ultrafiltration from $14$ kg$/$m$3$ to $84$ kg$/$m$3$ concentration. The feed volume is $800$ gallons and the batch time is two hours. Membrane fouling and the effect of concentration polarization can be ignored for simplicity. The unit is to operate at AP $=3$ bar and a rejection coefficient of $0\mathrm{.}97$ can be achieved. The membrane admits of a pure water flux of $11\mathrm{.}5$ gal$/$ft$-$ h at this pressure difference. $($Hint: Membrane area for batch UF$,$ equation IT $=$ CRT$).$

A$)$ Write about Ultra filtration? $($Understanding$)$

B$)$ Draw a configuration of UF modules? $($Remembering$)$

C$)$Illustrate applications of UF$.($Applying$)$

C$)$ Estimate the required membrane area? $($Evaluation$)$