A fluid enters a piping system with an inner diameter at the entry to the system of 5.249 ft, a specific enthalpy of 6.449X10-3 (Btu/lbm) and a volumetric flowrate of 5 m3/s before reporting to a heat exchanger wherein it gives off 28 J/kg of heat to a cold stream that flows counter currently to it. After leaving the heat exchanger it is then compressed by a compressor which imparts 41 J/kg of compression work on the stream before it rises 5 m and then leaves the system with a specific enthalpy of 1.075X10-2 (Btu/lbm).