Hot water in an open storage tank at $82\mathrm{.}2C$ is being pumped at the rate of $0\mathrm{.}379\frac{m^3}{m}in.$ from this storage tank. The line from the storage tank to the pump suction is $6\mathrm{.}1m$ of $2in.$ schedule $40$ steel pipe and it contains three elbows. The discharge line after the pump is $61m$ of $2$ in$.$ pipe and contains two elbows. The water discharges to the atmosphere at a height of $6\mathrm{.}1m$ above the water level in the storage tank.

a$)$ Calculate all frictional losses $F.$

b$)$ Make a mechanical energy balance and calculate $W_s$ of the pump in $\frac{J}{k}g.$

c$)$ What is the $kW$ power of the pump if its efficiency is $75\%?$