Explanation The ideal gas equation is accurate for the range of the temperature and pressure for which the compressibility factor Z ≈ 1 . The range of the temperature and pressure for ideal gas model is also considered when there is a deviation of 5 % in the value of compressibility factor, that is, 0.96 % ≤ Z ≥ 1.05 % . Conclusion: Refer to Figure A-2 “Generalized compressibility chart, p R ≤ 10.0 ” to obtain the relative pressure and relative temperature for which the ideal gas model is satisfactory as below: • p R < 0.1 Z is in the acceptable range for all temperatures. • For T R = 2.0 ; p R < 7.2 . • For T R = 2.5 ; p R < 5.0 . • For T R = 3.5 ; p R < 3.5 . • For T R > 5.0 ; p R < 3.2 . • For T R > 15 ; p R < 7 . These conclusions are applied for any substance. For air: Refer to Figure A-1 “Generalized compressibility chart , p R ≤ 10.0 ” to obtain the critical pressure and critical temperature for air as 37.7 bar and 133 K . The following are the combinations obtain from the Figure A-1: • p < 3.77 bar ; Z is in the acceptable range for all temperatures. • For T = 266 K ; p < 271 bar

Fundamentals of Engineering Thermodynamics, Binder Ready Version

8th Edition

ISBN: 9781118820445

Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey

Publisher: WILEY

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Chapter 3.14, Problem 100P

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The range of pressure and temperature at which the air is considered as an ideal gas.

The range of pressure and temperature at which the water is considered as an ideal liquid.

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Chapter 3.14, Problem 99P

Chapter 3.14, Problem 101P

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The range of pressure and temperature at which the air is considered as an ideal gas. The range of pressure and temperature at which the water is considered as an ideal liquid.