Transportation of natural gas is commonly done via pipelinesacross long distances. A company uses a 0.6-m diameter pipe totransport natural gas. Then pumping stations are located atdifferent points of the transportation distance. After a pumpingstation, natural gas is at a temperature of 25°C and a pressure of3.0 MPa, with a mass flow rate is 125 kg/s. The pipeline isinsulated such that the gas flow is adiabatic. The next pumpingstation is located forty miles down the first pumping station.Before the second pumping station, it is found that the pressure isat this 2.0 MPa. The pressure drop occurs for many reasonsincluding temperature changes along the pipeline. At the secondpumping station, the gas is first adiabatically compressed to apressure of 3.0 MPa, and then isobarically (i.e., at constantpressure) cooled to 25°C. For this problem assume that natural gasbehave as methane (MW =16, Cp =36.8 J/molK) with ideal gasbehavior. (a) What is the temperature and velocity of the gas justbefore entering the second pumping station? (b) Find the rate atwhich the gas compressor in the second pumping station does work onthe gas, the gas temperature leaving the compressor, and the heatload on the gas cooler assuming compressor exhaust is 0.6 mpipe

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To solve this problem we can use the conservation of mass and energy equations along with the ideal gas law Lets calculate the values for each part of ... View the full answer