In a cylinder, a sample of an ideal gas with number of moles n undergoes an adiabatic process. (a) Starting with the expression W= -[ P dV and using the condition PV = con- stant, show that the work done on the gas is w= ( |(P.V,– P,V,) (b) Starting with the first law of thermodynamics, show that the work done on the gas is equal to nC,(T, – T). (c) Are these two results consistent with each other? Explain.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 51P: A monatomic ideal gas undergoes a quasi-static process that is described by the function...
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In a cylinder, a sample of an ideal gas with number of moles
n undergoes an adiabatic process. (a) Starting with the
expression W= -[ P dV and using the condition PV = con-
stant, show that the work done on the gas is
w= (
|(P.V,– P,V,)
(b) Starting with the first law of thermodynamics, show that
the work done on the gas is equal to nC,(T, – T). (c) Are
these two results consistent with each other? Explain.
Transcribed Image Text:In a cylinder, a sample of an ideal gas with number of moles n undergoes an adiabatic process. (a) Starting with the expression W= -[ P dV and using the condition PV = con- stant, show that the work done on the gas is w= ( |(P.V,– P,V,) (b) Starting with the first law of thermodynamics, show that the work done on the gas is equal to nC,(T, – T). (c) Are these two results consistent with each other? Explain.
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