Question $2$

Performance data for a centrifugal pump are:

$\backslash$table$[[Q,\frac{m^3}{s},0\mathrm{.}0,0\mathrm{.}06,0\mathrm{.}13,0\mathrm{.}19,0\mathrm{.}25,0\mathrm{.}32,0\mathrm{.}38],[H,m,54\mathrm{.}56,53\mathrm{.}64,50\mathrm{.}29,44\mathrm{.}20,36\mathrm{.}27,25\mathrm{.}60,13\mathrm{.}11]]$

$($a$)$ Estimate the delivery $(Q$ in $\frac{m^3}{s})$ when the pump is used to move water between two open reservoirs, through $1200ft$ of $12in.$ cast iron pipe containing two $90$ elbows and a half open gate valve, if the elevation increase is $50ft.$

$($b$)$ Estimate the power gained by the fluid.

$($c$)$ For the same conditions in $($a$)$ estimate the delivery flow rate and power gained by the fluid if two pumps are connected in parallel.

$($d$)$ For the same conditions in $($a$)$ estimate the delivery flow rate and power gained by the fluid if two pumps are connected in series.