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# ps15a39 - Ph 111.01 PS 15a(39 Problem 1 = Walker P 18-14...

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Ph 111.01 December 15, 2008 PS 15a (39) Problem 1 = Walker P. 18-14. Consider a system in which 2.60 mol of an ideal monatomic gas is expanded at a constant pressure of 101 kPa from an initial volume of 2.15 L to a final volume of 4.09 L. (a) Is heat added to or removed from the system during this process? removed no change in heat added Explain. (b) Find the change in temperature for this process. K (c) Determine the amount of heat added to or removed from the system during this process. J Solution. We will be using (at least) three relations: 3 2 UQW WPV Un R T PV nRT Δ=− = = (a) From the fourth relation (the ideal gas law) we know that the temperature increases; and from the third relation we know that the internal energy increases. Then from the second law we know that the work is also positive. So, finally from the first line, QU W = Δ+ , the heat added us positive. (b) We can use the ideal gas law to calculate initial and final temperatures. P V 1.01x10 5 Pa 0 2.15 L 4.09 L 2.60 moles of ideal monatomic gas Q W=P Δ V

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() ( ) ( ) ( ) 3 11 1 3 22 2 101,000 Pa 0.00215 m 10.05 K 2.60 moles 8.31 J/(mole-K)
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ps15a39 - Ph 111.01 PS 15a(39 Problem 1 = Walker P 18-14...

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