Air is flowing through a pipe of \(0.02-\mathrm{m}\) inside diameter and \(40-\mathrm{m}\) length. The conditions at the exit of the pipe are \(M_{2}=0.5, p_{2}=1 \mathrm{~atm}\), and \(T_{2}=270 \mathrm{~K}\). Assuming adiabatic, one-dimensional flow, with a local friction coefficient of 0.005 , calculate \(M_{1}, p_{1}\), and \(T_{1}\) at the entrance to the pipe.