Answer:
See explanation
Explanation:
Number of moles of each gas is
Nitrogen = 15/28 = 0.536 kmoles
Helium = 5/4 = 1.25 kmoles
Methane = 60/16 = 3.75 kmoles
Ethane = 20/30 = 0.67 kmoles
Total number of moles = 0.536 kmoles + 1.25 kmoles + 3.75 kmoles + 0.67 kmoles = 6.206 kmoles
Mole fraction of each gas;
Nitrogen = 0.536 kmoles/6.206 kmoles = 0.086
Helium = 1.25 kmoles/6.206 kmoles = 0.201
Methane = 3.75 kmoles/6.206 kmoles =0.604
Ethane = 0.67 kmoles/6.206 kmoles =0.108
Partial pressure of each gas;
Nitrogen = 0.086 * 1200 kPa = 103.2 kPa
Helium = 0.201 * 1200 kPa = 241.2 kPa
Methane = 0.604 * 1200 kPa = 724.8 kPa
Ethane = 0.108 * 1200 kPa = 129.6 kPa
Apparent specific heat at constant pressure;
Cp = (0.15 * 1.039) + (0.05 * 5.1926) + ( 0.6 * 2.2537) + (0.2 * 1.7662)
Cp = 2.12 KJ Kg-1 K-1
Cv = Cp- Ru/M
Cv= 2.12 - 8.314/16.12 = 1.604 KJ Kg-1 K-1