$(24$ points$)$ Water is pumped at a flow rate of $0\mathrm{.}025m^{\frac{3}{s}}$ from Tank A to Tank B as

shown in the diagram below

$($a$)$ Determine the pump head for the conditions listed below. You must show Points $"1"$

and $"2"$ on the diagram to receive full credit.

$($b$)$ What is the useful mechanical pump power and the total power to drive the pump in

kW $?$

$($c$)$ What is the pump inlet pressure in Pa $?$ Please show these points on the diagram as $l^{*}$

and $2$

Pipe Lengths:

Tank A to Pump Inlet $=35m$

Pump Outlet to Tank B $=20m$

Head Loss:

Total Head Loss from Tank A to Tank B $=6\mathrm{.}2m$

Head Loss from Tank A to Pump Inlet $=3\mathrm{.}8m$

Head Loss from Pump Outlet to Tank B $=2\mathrm{.}4m$

Pipe Diameter:

Tank A to Pump Inlet $=12cm$

Pump Outlet to Tank B $=10cm$

Pump Efficiency $=68\%$