(Solution Download) A swimming pool has a partial-flow filtration system. Water at 75°F is pumped from the pool through.

A swimming pool has a partial-flow filtration system. Water at 75°F is pumped from the pool through the system shown. The pump delivers 30 gpm. The pipe is nominal 3/4 in. PVC (i.d. = 0.824 in.). The pressure loss through the filter is approximately Ap = 0.6g2 , where Ap is in psi and Q is in gpm. Determine the pump pressure and the flow rate through each branch of the system.