Concept explainers
(a)
The volume of the mixture using the ideal gas mixture.
(a)
Answer to Problem 44P
The volume of the mixture using the ideal gas mixture is
Explanation of Solution
Write the equation to calculate the mole number of oxygen and nitrogen gas using an ideal gas equation of state.
Here, pressure and temperature of oxygen and nitrogen gas is
Calculate the mole number of the mixture.
Calculate the volume of the mixture.
Here, pressure and temperature of the mixture is
Conclusion:
Substitute
Substitute
Substitute 1.443 kmol for
Substitute 3.849 kmol for
Thus, the volume of the mixture using the ideal gas mixture is
(b)
The volume of the mixture using Kay’s rule.
(b)
Answer to Problem 44P
The volume of the mixture using Kay’s rule is
Explanation of Solution
Write the equation of pseudo-reduced temperatures and pressures of
Here, the critical temperature of
Write the equation to calculate the mole number of oxygen and nitrogen gas using the kay’s rule.
Here, compressibility factor of
Calculate the mole fraction of
Write the critical temperature of a gas mixture.
Write the critical pressure of a gas mixture.
Write the equation of reduced temperature and pressure.
Calculate the volume of the mixture.
Conclusion:
Refer to Table A-1, obtain the critical temperatures and pressures of
Substitute 200 K for
Refer to Figure A-15, obtain the compressibility factor for
Substitute 0.77 for
Substitute 0.863 for
Substitute 1.874 kmol for
Substitute 1.874 kmol for
Substitute 0.402 for
Substitute 0.402 for
Substitute 200 K for
Refer to Figure A-15, obtain the compressibility factor of the mixture by reading the pseudo reduced temperature and pseudo reduced pressure of 1.452 and 1.966.
Substitute 0.82 for
Thus, the volume of the mixture using Kay’s rule is
(c)
The volume of the mixture using the compressibility chart and Amagat’s law.
(c)
Answer to Problem 44P
The volume of the mixture using the compressibility chart and Amagat’s law is
Explanation of Solution
Write the equation of compressibility factor of the mixture.
Here, the mole fraction of
Calculate the volume of the mixture.
Conclusion:
Substitute 0.402 for
Substitute 0.863 for
Thus, the volume of the mixture using the compressibility chart and Amagat’s law is
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Chapter 13 Solutions
Thermodynamics: An Engineering Approach
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