A compressor delivers natural gas through a straight pipe of length \(L\). Find the pressure at the exit. Include frictional losses in the pipe.

The energy balance should now include the frictional loss, and the appropriate form of the equation is

\[\delta\left(v^{2} / 2\right)+\delta(p / ho)=-\delta\left[\dot{W}_{\mu} / \dot{m}\right]\]

which is applied locally, i.e., in a mesoscopic sense rather than in the macroscopic sense. Assume adiabatic conditions. Then compare the results with those for if the compressor operated isothermally.