Concept explainers
Nitrogen at 150 K has a specific volume of 0.041884 m3/kg. Determine the pressure of the nitrogen using (a) the ideal-gas equation and (b) the Beattie-Bridgeman equation. Compare your results to the experimental value of 1000 kPa.
(a)
The pressure of the nitrogen using the ideal gas equation.
Answer to Problem 97P
The pressure of the nitrogen using the ideal gas equation is
Explanation of Solution
Determine the pressure of the tank using the ideal gas equation.
Here, the universal gas constant is
Conclusion:
Refer to Table A-1 to find the gas constant and molar mass of nitrogen as
Substitue
Therefore, the error compression with the actual value is 6.3%.
Thus, the pressure of the nitrogen using the ideal gas equation is
(b)
The pressure of the nitrogen using the Beattie-Bridgeman equation.
Answer to Problem 97P
The pressure of the nitrogen using the Beattie-Bridgeman equation is
Explanation of Solution
Determine the pressure in the tank using the Beattie-Bridgeman equation.
Here, the five constant are
Conclusion:
From the Table 3-4, “Constant that appear in the Beattie-Bridgeman and the Benedict-Webb-Rubin equation of state” to obtain of value of the five constant are
Substitute 136.2315 for
Therefore, the error compression with the actual value is negligible error.
Thus, the pressure of the nitrogen using the Beattie-Bridgeman equation is
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Chapter 3 Solutions
THERMODYNAMICS: AN ENGINEERING APPROACH
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