Problem #$6.(40\%)$

Water is being pumped from the lower reservoir through a nozzle into the upper reservoir. If the pressure gauge at A $($near the pump inlet$)$ reads $12\mathrm{.}3$ psia. Here, $"$El$"$ indicates elevation. Note the changes in pipe diameters. You can consider the system to be frictionless.

a$)$ Find the flow velocity at the pump inlet. $10\%$

b$)$ Find the flow velocity through the nozzle $($i$.$e$.,$ the exit velocity$).5\%$

c$)$ Find work done on the system. $10\%$

d$)$ Find the HP of the pump. $5\%$

e$)$ Find pump exit pressure. $10\%$