14.4 15.0 L of an ideal monatomic gas at 3.00 atm and 450 K are contained...

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14.4 15.0 L of an ideal monatomic gas at 3.00 atm and 450 K arecontained in a cylinder with a piston. The gas first coolsisochorically to 270 K (step 1). It then expands isobarically backto its original temperature (step 2), and then contractsisothermally back to its original volume (step 3). a) Show theseries of processes on a pV diagram. b) Calculate the temperature,pressure, and volume of the system at the end of each step in theprocess. Indicate the p and V values on the pV diagram. c) Computethe total work done by the gas on the piston during each step ofthe cycle in L - atm, and the total work done by the gas for onecomplete cycle. d) Compute the heat added during each step of thecycle in L - atm, and the net heat added for one cycle. Compare thetotal work done with the net heat added. e) Is this an engine or arefrigerator? If it is an engine, what is its efficiency; if it isa refrigerator, what is its coefficient of performance?

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3.7 Ratings (701 Votes)

initial pressureP13 atm3101325 Nm2initial volumeV115 L150001 m3initial temperature T1450 Knumber of molesnP1V1RT112187step 1cooling isochoricallyvolume remains constanthence volume V2V10015 m3temperatureT2270 See Answer

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