Water at a rate of $648\frac{m^3}{hr}$ and at $30C($density $=1000k\frac{g^3}{m^3}.$ viscosity $=1\mathrm{.}01{10}^{-4}Pa.$s$)$ is delivered to a closed tank $B(216\mathrm{.}5$kPa$)$ at a higher elevation by using a pump as shown in Figure $1.$ Both tanks are large in size where the pressure in tank $A$ is given as $132\mathrm{.}2$kPa. The pipe in used is made from galvanized steel with a diameter of $250mm.$ The description of both suction and delivery line are shown in Table $1.$

Figure $1$ Water pump network.

Table $1$ Description of suction and delivery line.

$\backslash$table$[[$Suction line,Delivery line$],[$Pipe length,$16m,$Pipe length,$39m,],[$Globe valve, fully open,$2$ unit,Giobe valve, fully open,$10$ unit,$],[$Regular $90$ elbow, threaded,$3$ unit,Regular $90$ elbow, threaded,$4$ unt,$],[,,180$ retum bend, threaded,$1$ unit,$]]$

Given that the pump efficiency is $70\%$ and the NPSH required for the given volumetric flowrate is $3m.$

a$)$ Analyze the system and suggest the power required to be supplied to the pump.

b$)$ Suggest the optimum design layout of the above system as to avoid cavitation. subsequently justify your selection