Concept explainers
(a)
The final temperature using the ideal gas equation.
(a)
Answer to Problem 92P
The final temperature using the ideal gas equation is
Explanation of Solution
Determine the final temperature using the ideal gas equation.
Here, the initial specific volume is
Conclusion:
Refer to Table A-1E to find the gas constant, the critical temperature, and the critical pressure of water as
Substitute
Thus, the final temperature using the ideal gas equation is
(b)
The final temperature using the compressibility chart.
(b)
Answer to Problem 92P
The final temperature using the compressibility chart is
Explanation of Solution
Determine the reduced pressure at final state.
Here, the critical pressure is
Determine the reduced specific volume at the final state.
Here, the final state specific volume is
Determine the final temperature using the compressibility chart.
Conclusion:
Refer Table A-4E to obtain the value of initial pressure and specific volume at the
Substitute
Substitute
From the Figure A-15, “Nelson-Obert generalized compressibility chart” to obtain the value of compressibility factor at the final state at final reduced pressure and volume of 1.0773 and 17.19 as 0.985.
Substitute
Thus, the final temperature using the compressibility chart is
(c)
The final temperature using the superheated steam table.
(c)
Answer to Problem 92P
The final temperature using the superheated steam table is
Explanation of Solution
Refer to Table A-6E, “Superheated water”, obtain the below properties at the final specific volume
Write the formula of interpolation method of two variables.
Here, the variables denote by x and y are temperature and final specific volume.
Show the temperature at
S. No |
final specific volume |
Temperature, F |
1 | 3.4403 | 1000 |
2 | 3.7278 | |
3 | 3.9295 | 1200 |
Calculate final temperature at final specific volume
Substitute 3.4403 for
From above calculation the final temperature of
Unit conversion of temperature from
Thus, the final temperature using the superheated steam table is
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Chapter 3 Solutions
Thermodynamics: An Engineering Approach
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