$(20$ pts$)$ A pump is needed to convey $0\mathrm{.}23\frac{m^3}{s}$ of water at $20C(=9\mathrm{.}79k\frac{N}{m^3},$var$=1{10}^{-6}\frac{m^2}{s})$ through a $40-m-$horizontal,

ductile iron $)$ pipeline to a pressurized tank. The pump and pipeline are installed at an elevation of $3m,$ the water

surface elevation in the receiving tank is $6m,$ and the pressure at the top of the tank is $220$kPa. The pipe has a $40cm$ diameter

on the suction side of the pump and a $30cm$ diameter on the discharge side of the pump. If the pump delivers $35m$ of head,

determine the pressure head on the discharge side of the pump $($in meters$)$ and whether cavitation is a concern on the suction

side of the pump? Cavitation concerns require a pressure head above $-7m$ at the inlet $($suction side$)$ of the pump. Draw EGL.

Write down the solutions you can suggest to prevent cavitation.

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