The stagnation chamber of a wind tunnel is connected to a high-pressure air bottle farm which is outside the laboratory building. The two are connected by a long pipe of 4 -in inside diameter. If the static pressure ratio between the bottle farm and the stagnation chamber is 10 , and the bottle-farm static pressure is \(100 \mathrm{~atm}\), how long can the pipe be without choking? Assume adiabatic, subsonic, one-dimensional flow with a friction coefficient of 0.005 .