Transportation of natural gas is commonly done via pipelines across long distances. A com- pany uses a 0.6-m diameter pipe to transport natural gas. Then pumping stations are lo- cated at different points of the transportation distance. After a pumping station, natural gas is at a temperature of 25C and a pressure of 3.0 MPa, with a mass flow rate is 125 kg/s. The pipeline is insulated such that the gas flow is adiabatic. The next pumping station is located forty miles down the first pumping station. Before the second pumping station, it is found that the pressure is at this 2.0 MPa. The pressure drop occurs for many reasons including temperature changes along the pipeline. At the second pumping station, the gas is first adiabatically compressed to a pressure of 3.0 MPa, and then isobarically (i.e., at con- stant pressure) cooled to 25C. For this problem assume that natural gas behave as methane (MW = 16, Cp = 36.8 J/mol K) with ideal gas behavior. (a) What is the temperature and velocity of the gas just before entering the second pump- ing station? (b) Find the rate at which the gas compressor in the second pumping station does work on the gas, the gas temperature leaving the compressor, and the heat load on the gas cooler. You may assume that the compressor exhaust is also a 0.6-m pipe