please use only the information given in the question and given equations (if necessary)

1- You must install a centrifugal pump to transfer a volatile liquid from a remode tank to a point in the plant 200 meters away from the tank. For logistics purposes, the pump needs to be put as close to the plant as possible. If the liquid has a vapor pressure of 137895Pa, the pressure in the tank is 200kPa, the level in the tank is 2 meters above the pump inlet and the required NPSH is 5 meters. What is the closest that the pump can be located to the plant without the possibility of cavitation? The pipe has a diameter of 52.5mm, the flow rate is 4.3kg/s, the density is 720kg/m3, and the viscosity is 5mPa. The pipe is made of commercial steel rugosity = 4.6105m xdirection(tvx+vxxvx+vyyvx+vzzvx)=xP+gx+(x22vx+y22vx+z22vx)ydirection(tvy+vxxvy+vyyvy+vzzvy)=yP+gy+(x22vy+y22vy+z22vy)zdirection(tvz+vxxvz+vyyvz+vxzvz)=zP+gz+(x22vz+y2y2vz+z22vz)NavierStokesincylindricalcoordinates(tvr+vrrvr+rvvrrv2+vzzvr)=rp+[r(r1r(nvr))+r2122vrr22vs+z22vr]+gr(tve+vrrv+rvsve+rvrve+vzzvs)=r1p+[r(r1r(ns))+r2122v+r22vr+z22v]+g(tvz+vrrvz+rvvz+vzzvz)=zp+[r1r(rrvz)+r2122vz+z22vz]+gz Continuity equation in cartesian coordinates t+x(uz)+y(uy)+z(uz)=0 Continuity equation in cylindrical coordinates t+r1r(vt)+r1(vs)+z(vt)=0 Shear stress in cartesian coordinates: xy=yz=(yvx+xvy)yz=zy=(zvy+yvt)zx=xz=(xvz+zvx) Revnolds number: Re=vD Frictional losses: Suddenexpansion=2Kex2=(1A2A1)22/2 Suddencontraction=2Kc2LInlaminarf=Re16Turbulentf1=4log10[3.7/D+(Re6.81)0.9]Infittingsandvalves=2Kf2 Sphericity: =SpDV2 Drag forcc on an object =2CDAv2 CD=v02/2FD/Ap