E115_Problem_Set_3 - q w and Δ U Justify your answers 5...

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e 115 Engineering Thermodynamics Fall 2009 University of California Problem set 3 Due: Wednesday, September 9 th , in lecture 1. (30 points) One mole of an ideal monatomic gas, initially at 273K and at a pressure of one atmosphere is contained in a chamber that permits controlled variation of its state. Controlled quantities of heat and work are supplied to the system so that its pressure and volume change along a path specified by the equation: V liters ( ) = a liters atm 2 P 2 ( atm 2 ) where a is a constant. Assume that the process is carried out reversibly, and that the final pressure of the system is 0.5 atm. a) Plot the process path, and determine the signs of
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Unformatted text preview: q , w , and Δ U . Justify your answers. ( 5 points ) b) Using the first law, and simplifications appropriate to an ideal monatomic gas, determine the values of q , w , and Δ U. ( 10 points ) c) Instead of using the approach in part b), now compute the heat that needs to be supplied or removed to take the system to a final pressure of 0.5 atm by developing an appropriate expression for TdS , and integrating. ( 15 points ) Hint : For a reversible process, we may write dU = δ q rev − w rev = TdS − PdV q rev = TdS = dU + PdV...
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