A new engineer wa self$-$priming centrifugal pump at

volume flow rate, $V^{}=70LPM.$ The centrifugal pump is used to pump water at $25C$

from a reservoir whose surface is $2\mathrm{.}2m$ above the centreline of the pump inlet $($Figure

$.$ The reservoir is open to the atmosphere. The pipe is PVC with an ID of $24\mathrm{.}0mm$ and

negligible average inner roughness height. The pipe length from the submerged pipe

inlet to the pump inlet is $2\mathrm{.}8m.$ There are only two minor losses in the piping system,

from the pipe inlet to the pump inlet: a sharp$-$edged a minimum

pressure of $5$ bar to the pipe outlet. Obtain the pump power needed if the overall

efficiency of the pump is $85\%.$ At $T=25C,$ take $999\mathrm{.}7k\frac{g}{m^3},=8\mathrm{.}91{10}^{-4}k\frac{g}{?}$

$m$ and $P_{\text{a}\text{t}\text{m}}=101\mathrm{.}325$kPa.

$[25$ MARKS$]$