$7$ The diagram shown below represents a process for which a pump and associated pipework require to be correctly sized.

The liquid is to be pumped from the underground storage vessel which is vented to atmosphere $($assume $1$ bar pressure$)$ to a pressurized container supported some distance above ground level. The pump is sited at ground level and must be capable of delivering $0\mathrm{.}01m^3{s}^{-1}$ with a maximum velocity of $1\mathrm{.}8m{s}^{-1}$

Data:

Liquid density, $=960kg{m}^3$

Liquid viscosity, $=0\mathrm{.}081$Pas

$($a$)$ Calculate the theoretical diameter of the pipe; the nominal pipe diameter chosen from the table and the actual average velocity in the nominal pipe.

$\backslash$table$[[$Inside diameter $(mm)$