A gas is compressed from an initial volume of 0.42 m3 to a final volume of 0.12 m3. During the quasi-equilibrium process, the pressure changes with volume according to the relation P = aV 1 b, where a = 21200 kPa/m3 and b = 600 kPa. Calculate the work done during this process (a) by plotting the process on a P-V diagram and finding the area under the process curve and (b) by performing the necessary integrations.

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
Chapter17: Energy In Thermal Processes: The First Law Of Thermodynamics
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A gas is compressed from an initial volume of 0.42 m3
to a final volume of 0.12 m3. During the quasi-equilibrium process,
the pressure changes with volume according to the relation
P = aV 1 b, where a = 21200 kPa/m3 and b = 600 kPa.
Calculate the work done during this process (a) by plotting the
process on a P-V diagram and finding the area under the process
curve and (b) by performing the necessary integrations.

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