Concept explainers
The volume change using compressibility factor.
The error involved between the specific volume of actual value and specific volume using compressibility chart.
Answer to Problem 123RP
The volume change using compressibility factor is
The error involved between the volume change of actual value and volume change using compressibility chart is
Explanation of Solution
Refer to Table A-1, obtain the gas constant, critical pressure, and critical temperature of steam.
Refer to Table A-6, obtain the specific volume at inlet condition by reading the value of
Refer to Table A-6, obtain the specific volume at outlet condition by reading the value of
Calculate the change in the volume of the exat value.
Here, mass of steam is m.
Write the equation of reduced pressure at inlet condition.
Here, critical pressure of steam is
Write the equation of reduced temperature at inlet condition.
Here, critical temperature of steam is
Write the equation of reduced pressure at outlet condition.
Here, outlet pressure of steam is
Write the equation of reduced temperature at outlet condition.
Here, outlet temperature of steam is
Write the volume of piston cylinder device at inlet state.
Here, the compressibility factor at inlet state is
Write the volume of piston cylinder device at outlet state.
Here, the compressibility factor at outlet state is
Calculate the change in the volume using compressibility factor.
Calculate the percentage of error involved.
Conclusion:
Substitute 0.2 kg for m,
Substitute 0.2 MPa for
Substitute
Refer to figure A-15, “The compressibility chart”, obtain the compressibility factor,
Substitute 0.2 MPa for
Substitute
Refer to figure A-15, “The compressibility chart”, obtain the compressibility factor,
Substitute 0.9956 for
Substitute 0.9897 for
Substitute
Thus, the volume change using compressibility factor is
Substitute
Thus, the error involved between the volume change of actual value and volume change using compressibility chart is
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Chapter 3 Solutions
Thermodynamics: An Engineering Approach
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