Leaking oil tanks have become such an environmental problem that the federal government ha...

Leaking oil tanks have become such an environmental problem that the federal government has implemented a number of rules to reduce the problem. A flow rate from a leak from a small hole in a tank can be predicted from the following relation:

where Q is the leakage rate (gal/min)

S is the cross-sectional area of the hole causing the leak (in.2)

Δp is the pressure drop between the inside of the tank opposite the leak and the atmospheric pressure (psi)

ρ is the fluid density (lb/ft3)

To test the tank, the vapor space is pressurized with N2 to a pressure of 23 psig. If the tank is filled with 73 in. of gasoline (sp. gr. = 0.703) and the hole is 1/4 in. in diameter, what is the value of Q (in cubic feet per hour)?