State your assumption clearly

$($Q$1)$ Consider the pump system given below $($Figure $1).$

$($i$)$ Plot the system curve on the pump characteristic $($given in Figure $2).$ Determine the impeller size, operating point, pump efficiency and the power required to drive the pump.

$($ii$)$ Show whether the pump is subjected to cavitation? If yes, give recommendations. $($physical properties of water; density $997k\frac{g}{m^3},$ viscosity $0\mathrm{.}871{10}^{-3}Pa.s,P_v=3\mathrm{.}17$kPa.$).$

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