Given the following two$-$reservoir and pump system:

Reference point

System Data:

Overflow elevation at Point $1$: $4010$ feet

Overflow elevation at Point $3$: $4130$ feet

Pipeline $1($from point $1$ to point $2)$: $L1=120ft,D1=12-$inches, $2$ gate valves

Pipeline $2$: $($from point $2$ to point $3)$: $L2=8,500ft,D2=12-$inches, $6$ gate valves

Elevation of Point $2$: $3978$ feet

Design flow $=2,500gpm$

Use Swamee and Jain equation to calculate friction factor $\text{'}f"$

Use kinematic viscosity for $50-$degree F$.$ water

Pipeline material is PVC $)=(5e-06$

Use gate valve $k=0\mathrm{.}6($each valve$)$

Find:

Total dynamic head $($TDH or hp$)$ of the pump $($ft$)$

Discharge pressure of the pump $($psi$)$

Hydraulic grade elevation on the discharge side of the pump $($ft$)$

Pump water horsepower $($WHP$)$

Friction loss $(ft)$ in pipeline $1$

Friction loss $(ft$ in pipeline $2$

Note: Show all your calculations.