B9] The figure below describes n moles of an ideal gas undergoing a Carnot cycle. (P.V) (i) () (P.V) (ii) (P.V.) (P.V) (iv) a) Is this Carnot cycle operating as a heat engine or as a refrigerator? Why? b) Which of the 4 stages labelled (i) to (iv) corresponds to a quasi-static adiabatic compression and which to an isothermal expansion? c) Show that the change in entropy of an ideal gas expanding isothermally from a volume Vow to a volume Vigh is given by Vhigh AS = nR In Vow d) Show that V4 Va V2 e) Write down expressions for the change in entropy of the gas at each stage of the Carnot cycle in the figure. What is the total change in entropy of the gas during the Carnot cycle?

B9] The figure below describes n moles of an ideal gas undergoing a Carnot cycle. (P.V) (i) () (P.V) (ii) (P.V.) (P.V) (iv) a) Is this Carnot cycle operating as a heat engine or as a refrigerator? Why? b) Which of the 4 stages labelled (i) to (iv) corresponds to a quasi-static adiabatic compression and which to an isothermal expansion? c) Show that the change in entropy of an ideal gas expanding isothermally from a volume Vow to a volume Vigh is given by Vhigh AS = nR In Vow d) Show that V4 Va V2 e) Write down expressions for the change in entropy of the gas at each stage of the Carnot cycle in the figure. What is the total change in entropy of the gas during the Carnot cycle?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 33P

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