A gasoline distributor wishes to construct the loading facility shown below. Size the pipe such that

a minimum of $2500gpm$ discharges through the fill line. Maximum expected temperatures are

$100F$ and minimum anticipated temperatures are $50$F$.$ You may assume that the terminal tank is

much larger than the tank attached to the truck. Further assume that a pressure of at least $15$ is

required at the truck to overcome losses associated with a check valve on the vehicle $($do not

include the losses through the check valve in your analysis$).$

The pump head$-$discharge is: $E(Q)=275-0\mathrm{.}128Q^{2\mathrm{.}697}$