$"$At atmospheric pressure, water stored in a large and insulated tank at $80\backslash$deg C is pumped to a heat exchanger at a flow rate of $5\mathrm{.}10^(-3)($m$^(3))/($s$).$ The inlet pressure of the water in the pipe to the pump is $57\mathrm{.}8$k$($N$)/($m$^(2)).$ The outlet section of the pipe installation to the heat exchanger is $3\mathrm{.}05$m higher than the inlet section to the pump, and the outlet pressure is $130\mathrm{.}9$k$($N$)/($m$^(2)).$ The combined effects of the outlet and inlet in the tank and heat exchanger are equivalent to $75$ pipe diameters. Commercial steel pipes with an inner diameter of $0\mathrm{.}075$m and a length of $155$m$,$ containing two $90\backslash$deg standard long elbows, are used throughout the pipe installation. The pump efficiency is $85\%.$ Calculate the power of the pump. $(\backslash$rho $\_($water$)=971\mathrm{.}83$k$($g$)/($m$^(3))$; $\backslash$mu $\_($water$)=0\mathrm{.}3565*10^(-3)($kg$)/($m$$s$).)"$