$2\mathrm{.}14$ A centrifugal pump having the characteristics tabulated below is used to move a fluid

$($sp$.$ gr$.=0\mathrm{.}85,p_v=20$kPa abs$.)$ from reservoir A to reservoir B$.$ The reservoirs are

open to the atmosphere and the fluid free surface level in each reservoir is given by

$Z_A=5m$ and $Z_B=25m.$ The minor losses in the suction and delivery sides of the pump

are equivalent to $1\mathrm{.}8\frac{V^2}{2}g$ and $4\mathrm{.}2\frac{V^2}{2}g$ respectively, where $V$ is the average pipe

velocity.

a$.$ Determine the system flow rate.

b$.$ Determine the available net positive suction head.

c$.$ If the flow rate is reduced by $25\%$ by using the delivery valve for flow rate control,

determine the power loss in the valve.