Problem 1. One mole of a perfect gas contained in a 10-liter vessel at 27 degrees Celsius is permitted to expand freely into an evacuated vessel of 10-liter capacity so that the final volume is 20 liters. What amount of work is done and what amount of heat is absorbed in the process? What is the change in the entropy accompanying the process?

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter13: Spontaneous Processes And Thermodynamic Equilibrium
Section: Chapter Questions
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Answer the following problems and show the complete solutions: Problem 1. One mole of a perfect gas contained in a 10-liter vessel at 27 degrees Celsius is permitted to expand freely into an evacuated vessel of 10-liter capacity so that the final volume is 20 liters. What amount of work is done and what amount of heat is absorbed in the process? What is the change in the entropy accompanying the process? Problem 2. What is the difference in entropy between 1 mole of Nitrogen(N2) at standard conditions and 1 mole of Nitrogen (N2) at 200 degrees Celsius when the molar volume is 50 liters? Assume that Cp is 7/2R and that Nitrogen (N2) behaves ideally. Problem 3. Calculate the change in entropy suffered by 2 moles of an ideal gas on being heated from a volume of 100 liters at 50 degrees Celsius to a volume of 150 liters at 150 degrees Celsius. For the gas Cv= 7.88 cal mol-1 degree -1.
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