Problem $9$: You are required to order a pump that will provide $5$ psi of pressure increase

when pumping water.

a$)$ Assuming that there are no friction losses, and that the pump is operating

horizontally and that the inlet and outlet have the same cross$-$sectional area,

what would be the pump head? $[11\mathrm{.}6$ ft $]$

b$)$ If the pump required needs to have a capacity of $100f{t}^3/$minute$,$ what is the

horsepower for this pump? Assume $100\%$ efficiency for the pump $-$ as you can

imagine this is generally a poor assumption. $[-2\mathrm{.}18$ hp$]$

c$)$ You look up the pump in a catalog and find that it has a $40\%$ efficiency at this

flow rate. What size of pump should you order $($in horsepower$)?[5\mathrm{.}45$ hp$]$