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E115_Problem_Set_4

E115_Problem_Set_4 - e 115 Engineering Thermodynamics...

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e 115 Engineering Thermodynamics Fall 2009 University of California Problem set 4 Due: Friday, September 11 th , in lecture 1. (20 points) In thermodynamics, one often develops general relationships and from these, equations that apply to idealized materials are derived. The ideal gas represents one such idealized system. For an ideal monatomic gas, the heat capacity at constant volume is independent of temperature and equals 3 2 R , where R is the gas constant. If the gas is polyatomic, then although the gas may obey the ideal gas law, the heat capacity can vary with temperature. Real gases will generally deviate from the ideal gas law, particularly at low temperatures and high pressures, and can have a heat capacity that varies with temperature. Describing such systems accurately is thus more difficult. This problem is intended to compare what happens when a process is conducted on a monatomic ideal gas, and a polyatomic ideal gas with a temperature dependent heat capacity.
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