b$)$ Pipe $\backslash ($ A $\backslash )$ is filling the water tank, while pipe $\backslash ($ B $\backslash )$ is emptying the tank at the ground level. The density and viscosity of water is assumed to be $\backslash (1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash )$ and $\backslash (1\mathrm{.}000510^\{-3\}\backslash$mathrm$\{$~Pa$\}/\backslash$mathrm$\{$s$\}\backslash ).$

i$.$ Calculate the flow rate and water velocity in pipe A to keep the water level steady $($not changing$).$ Neglect the friction losses.

ii$.$ Using the discharge flow rate and the Poiseuille equation estimate the pressure loss due to the flow in a $25$ m length of Pipe B$,$ verify that the Poiseuille equation can be used to calculate pressure loss of this flow.

iii. Comment on the validity of neglecting pressure loss due to the flow in Pipe B in section $($i$).$ Justify your answer.