Part-A (Thermodynamics) Question 1 (a) Define mass and mole fractions and derive a relation between them? (5 marks) (b)
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Part-A (Thermodynamics) Question 1 (a) Define mass and mole fractions and derive a relation between them? (5 marks) (b)
Part-A (Thermodynamics) Question 1 (a) Define mass and mole fractions and derive a relation between them? (5 marks) (b) In a mixture of methane (CH4) and air there are three volumes of oxygen to one volume of methane. From initial conditions of 1 bar and 95°C the gas is compressed reversibly and adiabatically through a volume ratio of 5. Assuming that air contains only 21 % oxygen and 79% nitrogen, calculate: (1) Calculate the mass of each constituent in 1 kmol of the mixture and hence the values of Cp, Co, čp, ču, R and y of the mixture. (12 marks) (ii) The final pressure and temperature of the mixture. (5 marks) (iii) The work input per unit mass of mixture. (3 marks) For CH4: ñ, Cp, and c, are 16 kg/kmol, 2.2316 kJ/kg.K, and 1.71321 kJ/kg.K. For O2: ñ, Cp, and C, are 32 kg/kmol, 0.9182 kJ/kg-K, and 0.6584 kJ/kg.K. For N2: ñ, Cp, and cy are 28 kg/kmol, 1.04 kJ/kg-K, and 0.7432 kJ/kg.K. Take Ř = 8314.5J/kmol-K and 1 bar = 1x105 Pa. Total marks (25 marks)
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