Explanation Refer to Table A-1, obtain the molar mass of He and Ar . M He = 4.0 kg/kmol M Ar = 40.0 kg/kmol Refer to Table A-2, obtain the specific heat at constant pressure of He and Ar . c p , He = 5.1926 kJ/kg ⋅ K c p , Ar = 0.5203 kJ/kg ⋅ K Calculate the molar mass of the mixture. M m = y He M He + y Ar M Ar (I) Here, molar fraction of He and Ar are y He and y Ar respectively. Calculate the specific heat at constant pressure for the mixture. c p , m = y He M He M m c p , He + y Ar M Ar M m c p , Ar (II) Calculate the temperature at the exit of the turbine. T 2 = T 1 ( P 2 P 1 ) k − 1 k (III) Here, specific heat ratio is k , initial, inlet temperature of the turbine is T 1 , and final pressure of the turbine is P 1 and P 2 respectively. Write the equation of energy balance on the turbine. E ˙ in − E ˙ out = Δ E ˙ system = 0 E ˙ in = E ˙ out h 1 = h 2 + w out w out = c p ( T 1 − T 2 ) (IV) Here, rate of energy at inlet and exit of the system is E ˙ in , E ˙ out , rate of change in the energy of the system is Δ E ˙ system , enthalpy at state inlet and exit is h 1 and h 2 , temperature at inlet and exit state are T 1 and T 2 , constant pressure specific heat is c p , and work output per unit mass is w out

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Chapter 13.3, Problem 62P

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Chapter 13 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 13.3 - What are mass and mole fractions?Ch. 13.3 - Consider a mixture of several gases of identical...Ch. 13.3 - The sum of the mole fractions for an ideal-gas...Ch. 13.3 - Somebody claims that the mass and mole fractions...Ch. 13.3 - Consider a mixture of two gases. Can the apparent...Ch. 13.3 - What is the apparent molar mass for a gas mixture?...Ch. 13.3 - Prob. 7P Ch. 13.3 - The composition of moist air is given on a molar...Ch. 13.3 - Prob. 9P Ch. 13.3 - Prob. 10P

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