$12$ Calculate the work required for a pump$-$to$-$pump water from a well to ground level $125m$

above the bottom of the well. At the inlet to the pump the pressure is $96\mathrm{.}5$kPa, and at the

system outlet it is $103\mathrm{.}4$kPa. Assume constant pipe diameter. Use $=9810\frac{N}{m^3}$ and assume it

to be constant. $($a$)$ Neglect any flow losses in the system. $($b$)$ If there is friction in the system

whose total head loss equals $12\mathrm{.}5$ m$.($Ans: $1233\mathrm{.}1N\frac{m}{k}g,1355\mathrm{.}7N\frac{m}{k}g)$