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E115_Problem_Set_19

# E115_Problem_Set_19 - the temperature reaches the critical...

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e 115 Engineering Thermodynamics Fall 2009 University of California Problem set 19 Due: Wednesday, October 28 th in discussion 1) ( 10 points ) In lecture, a plot of the compressibility factor of nitrogen was provided in a handout. This plot is reproduced below. a) Assume that the pressure and temperature correspond to those of the critical point for nitrogen (33.5 atmospheres, 126.1K). If the gas were ideal, determine its molar volume, and compare this to the actual molar volume of nitrogen at its critical point. What is the ratio of the actual molar volume of nitrogen to the ideal volume? ( 4 points ) b) We now consider the gas to be initially at 300K and at a pressure of 33.5 atmospheres. In a reversible constant pressure process, the volume and temperature are decreased until
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Unformatted text preview: the temperature reaches the critical temperature for nitrogen. If the gas were ideal, how much work would be done on the gas during the compression? If the gas were nitrogen, how much work would be done? How significant is the difference in the values? ( 6 points ) 2) (15 points) A 15 liter rigid vessel contains 10 kg of water (liquid and vapor) at 30°C. If the vessel is heated, will the liquid level rise or fall? What if the vessel contains 1 kg of water instead of 10 kg? In the two cases, what is the temperature when one of the phases just disappears? Hint: consider the T-V projection of the water equation of state and the specific volumes in the two conditions relative to the volume at the critical point....
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