$2.-$ Water will be pumped from a lake to a monitoring station on the slope of a

mountain $($see Fig$1).$ The flow rate should be $95$ gal$/$min$,$ and the flow channel is

a standard $1$ in$.$ number $40($ID$=27$ mm$)$ steel pipe. It has

a pump capable of supplying $8$hp$.$ Friction losses are equal to

F$($ft$*$lbf$/$lbm$=0\mathrm{.}41$L$,$ where L$($ft$)$ is the length of the pipe.

Perform system energy balance

Calculate the maximum elevation, z$,$ of the monitoring station above the lake if the

pipe rises at an angle of $30\backslash$deg

Use the following equation to solve the problem$\frac{P}{}+\frac{u^2}{2}+gz+F=\frac{-W_s^{}}{(m^{})}$