A carbon steel rigid tank initially contains a 2.5 kg of three-components gas mixture, particularly 57...

 

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A carbon steel rigid tank initially contains a 2.5 kg of three-components gas mixture, particularly 57 kPa nitric oxide (NO), 63 kPa nitrous oxide (N2O), and 78 kPa nitrogen dioxide (NO2) at 127°C. The rigid tank exhibits a rotating shaft attached on it, which exerting a power of 2 kW on gas mixture to agitate it. Since the rigid tank is situated in an air-conditioned room, the rigid tank is losing heat at a rate of 0.5 kW. Subsequently, the gas mixture is then heated for a period of 60 s by a gas torch flame gun to 197°C. It is assumed that the pressure of rigid tank almost remains unchanged after the heating process. Given the respective molar mass of NO, N20 and NO2 is 30.01 g/mol, 44.01 g/mol, and 46.01 g/mol. Take R, as 8.314 kJ/kmol·K. W sh (a) Determine the total pressure of the system, the mole fraction of each gas species, and the molar mass of the gas mixture. (5 Marks) (b) Calculate the change of specific internal energy and internal energy of the gas mixture. (10 Marks) TABLE A-2 Ideal-gas specific heats of various common gases (Concluded) (e) As a function of temperature 2, =a+ bT +cT* + dT (Tin K. č, in kJ/kmol-K) Substance Nitric oxide Nitrous oxide Nitrogen dioxide NO, Formula NO N,0 a d -0.09395 x 10- 5.8632 x 10- 5.715 x 10-2 0.9747 x 10-5 -3.562 x 10-5 -3.52 x 10-3 -4.187 x 10- 10.58 x 10-9 7.87 x 10-9 29.34 24.11 22.9 (c) Determine the heat input of the gas torch flame gun to the gas mixture. A carbon steel rigid tank initially contains a 2.5 kg of three-components gas mixture, particularly 57 kPa nitric oxide (NO), 63 kPa nitrous oxide (N2O), and 78 kPa nitrogen dioxide (NO2) at 127°C. The rigid tank exhibits a rotating shaft attached on it, which exerting a power of 2 kW on gas mixture to agitate it. Since the rigid tank is situated in an air-conditioned room, the rigid tank is losing heat at a rate of 0.5 kW. Subsequently, the gas mixture is then heated for a period of 60 s by a gas torch flame gun to 197°C. It is assumed that the pressure of rigid tank almost remains unchanged after the heating process. Given the respective molar mass of NO, N20 and NO2 is 30.01 g/mol, 44.01 g/mol, and 46.01 g/mol. Take R, as 8.314 kJ/kmol·K. W sh (a) Determine the total pressure of the system, the mole fraction of each gas species, and the molar mass of the gas mixture. (5 Marks) (b) Calculate the change of specific internal energy and internal energy of the gas mixture. (10 Marks) TABLE A-2 Ideal-gas specific heats of various common gases (Concluded) (e) As a function of temperature 2, =a+ bT +cT* + dT (Tin K. č, in kJ/kmol-K) Substance Nitric oxide Nitrous oxide Nitrogen dioxide NO, Formula NO N,0 a d -0.09395 x 10- 5.8632 x 10- 5.715 x 10-2 0.9747 x 10-5 -3.562 x 10-5 -3.52 x 10-3 -4.187 x 10- 10.58 x 10-9 7.87 x 10-9 29.34 24.11 22.9 (c) Determine the heat input of the gas torch flame gun to the gas mixture.