A four-components gas mixture comprising of 44.7 KPa methane (CHi), 57 kPa ethane (CHo), 60.3 KPa propane (CHe), and 39.7 KPa n-butane (CHro) fows in a brass pipe. By considering a pipe sedion as the control volume, it is found that the inlet and outlet temperatures are 107C and 138C. For the pipe section, an electrio-powered (eotor = 76.A%) farn (votage - 240 v. ampere = 10.5 A) and an electrical (stor - 100%) heater (resistance = 22.151, ampere = 12.5 A) are installed to ensure good mixing and provide heafing, separately. On a summer day. the non-adiabatic pipe that instaled outside the production plant is ganing heat trom ambient at a rste of 28 kW. As the pipe section is uniform and has no sharp edge, there is no pressure drop as the fluid flows through k. Given respective molar mass of CH, CH. CHe, and CaHIs is 16.04 gimol, 30.07 gimol, 44.1 gmol, and 58.12 gimol. Take R, as 8.314 kJkmol K w, Electrical heater W. W. Control volume Fan Electrical motor (a) Determine the total pressure of the system, the mole traction of each gas species, and the molar mass of the gas mixture. (4 Marks) (b) Caleudate the change of specific enthelpy of the gas mixture. (6 Marks) Table C.1: Heat Capacities of Gases in the Ideal-Gas State Constants in equation p/Ru =A+ BT + CT + DT kor T (K) from 298 K to Taux Chenical species Epa/Ru A 10'a 10D Methane Ethane CH4 1500 4217 6369 1.202 9.081 19.225 -2.164 -5.561 1500 Propane n-Butane 1500 9.011 1213 28.785 -8.K24 1500 I1.928 1.935 36915 -11.402 (c) Calculate the electrical power of electrical heater and the shaft power of the fan. (4 Marks) (d) Determine the mass flow rate of the gas mixture in this pipe section. (8 Marks)