Consider the adiabatic flow of air through a pipe of \(0.2-\mathrm{ft}\) inside diameter and 3-ft length. The inlet flow conditions are \(M_{1}=2.5, p_{1}=0.5 \mathrm{~atm}\), and \(T_{1}=520^{\circ} \mathrm{R}\). Assuming the local friction coefficient equals a constant of 0.005 , calculate the following flow conditions at the exit: \(M_{2}, p_{2}, T_{2}\), and \(p_{o_{2}}\).