
Concept explainers
(a)
The mass of the gas treating it as an ideal gas mixture.
(a)

Answer to Problem 41P
The mass of the gas treating it as an ideal gas mixture is
Explanation of Solution
Write the expression to calculate the mole number of the substance
Here, the mass of the substance is
Write the expression to calculate the mole fraction of the substance
Here, total mole number of the products is
Write the expression to calculate the individual gas constant
Here, universal gas constant is
Write the expression to calculate the mass of the gas from ideal gas expression.
Here, pressure of the gas is
Conclusion:
From the Table A-1 of “Molar mass, gas constant, and critical-point properties”, obtain the molar masses as follows:
Substitute
Substitute
Calculate the total number of moles
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the mass of the gas treating it as an ideal gas mixture is
(b)
The mass of the gas using the compressibility chart.
(b)

Answer to Problem 41P
The mass of the gas using the compressibility chart is
Explanation of Solution
Write the expression to calculate the reduced pressure
Here, pressure at the critical point is
Write the expression to calculate the reduced temperature
Here, temperature at the critical point is
Write the expression to calculate the compressibility factor of the mixture
Here, compressibility factor for
Write the expression to calculate the mass from using the compressibility factor.
Conclusion:
Substitute
Substitute
From the Table A-15 of “Nelson-Obert generalized compressibility chart”, obtain the compressibility factor at reduced pressure of 2.972 and reduced temperature of 2.210 as 0.98
Substitute
Substitute
From the Table A-15 of “Nelson-Obert generalized compressibility chart”, obtain the compressibility factor at reduced pressure of 2.119 and reduced temperature of 1.382 as 0.77
Substitute
Substitute
Thus, the mass of the gas using the compressibility chart is
(c)
The mass of the gas using Dalton’ law.
(c)

Answer to Problem 41P
The mass of the gas using the Daltonls law is
Explanation of Solution
Write the expression to calculate the reduced volume specific volume
Conclusion:
From the Table A-2E of “Ideal gas specific heats of various common gases”, obtain the gas constants as follows:
Substitute
From the Table A-15 of “Nelson-Obert generalized compressibility chart”, obtain the compressibility factor at reduced specific volume of 0.8782 and reduced temperature of 2.210 as 0.98
Substitute
From the Table A-15 of “Nelson-Obert generalized compressibility chart”, obtain the compressibility factor at reduced specific volume of 3.244 and reduced temperature of 1.382 as 0.92
Substitute
Substitute
Thus, the mass of the gas using the Daltonls law is
(d)
The mass of the gas using Kay’s rule.
(d)

Answer to Problem 41P
The mass of the gas using Kay’s rule is
Explanation of Solution
Write the formula to calculate the pseudo critical temperature
Write the formula to calculate the pseudo critical pressure
Conclusion:
Substitute
Substitute
Substitute
Substitute
From the Table A-15 of “Nelson-Obert generalized compressibility chart”, obtain the compressibility factor at reduced pressure of 2.949 and reduced temperature of 2.027 as 0.97
Substitute
Thus, the mass of the gas using Kay’s rule is
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Chapter 13 Solutions
Thermodynamics: An Engineering Approach
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