For the system shown in the figure below, if $p_1=100$ psi, determine $p_2$ in units of psi. Pipes on the left side of the globe valve $($including the valve$)$ have an internal diameter of $1\mathrm{.}5$ inches. Pipes on the right side of the globe valve have an internal diameter of $2$ inches. The system lies in a horizontal plane. Flow rate: $25$ gpm of oil with a specific gravity of $0\mathrm{.}9$ and kinematic viscosity of $100cS\mathrm{.}90$ elbow: $k=0\mathrm{.}75$ Wide$-$onen globe valve: $k=10($with an internal diameter of $1$ inches$)(25$ points$)$