You are filling your beer mug from a keg. the pressure in the keg is 5 psig, the filling tube from the keg is 3 ft long with 1/4 in. id, and the valve is a diaphragm dam type. the tube is attached to the keg by a (threaded) tee, used as an elbow. if the beer leaving the tube is 1 ft above the level of the beer inside the keg and there is a 2 ft long, 1/4 in. id stainless steel tube inside the keg, how long will it take to fill your mug if it holds 500 cm^3 ? (beer: μ = 8 cp, rho = 64 lbm/ft3 )