You are filling your beer mug from a keg. The pressure in the keg is $5 \mathrm{psig}$, the filling tube from the keg is $3 \mathrm{ft}$ long and $1 / 4 \mathrm{in}$. 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 $1 \mathrm{ft}$ above the level of the beer inside the keg and there is a $2 \mathrm{ft}$ long, $1 / 4 \mathrm{in}$. ID stainless steel tube inside the keg, attached to the valve outside the keg, how long will it take to fill your mug if it holds $500 \mathrm{~cm}^{3}$ ? (For beer: $\mu=8 \mathrm{cP}, ho=64 \mathrm{lb}_{\mathrm{m}} / \mathrm{ft}^{3}$ )