$($d$)(10$ points$)$ The energy is to be extracted from an open loop system that draws water from a well. You measure an $8$ degree temperature drop and a $4$ psi pressure drop across the geothermal unit. Determine the required volum'e flow rate $($in gallons per minute$)$ for the water entering the geothermal unit in order to supply the heat required to operate the system. The density of water is $62\mathrm{.}42l\frac{b}{f}{t}^3,$ the specific heat of water is $1Bt\frac{u}{l}b*F,$ and there are $7\mathrm{.}5$ gallons in $1f{t}^3$ of water.