A cylinder containing n mol of an ideal gas undergoes anadibatic process. Starting with dW = pdV and using thecondition pVY = constant, show that the work done by thegas:1W× (p;V; - PfV¢)%3DStarting from the first law of thermodynamics in differentialform, prove that the work done by the gas is n×Cy(T; - Tf).

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A cylinder containing n mol of an ideal gas undergoes an adibatic process. Starting with dW = pdV and using the condition pVY = constant, show that the work done by the gas: 1 -× (p,V; - PrVf) Y- 1 W %3D Starting from the first law of thermodynamics in differential form, prove that the work done by the gas is n×Cy(T; - Tf).

A cylinder containing n mol of an ideal gas undergoes an adibatic process. Starting with dW = pdV and using the condition pVY = constant, show that the work done by the gas: 1 -× (p,V; - PrVf) Y- 1 W %3D Starting from the first law of thermodynamics in differential form, prove that the work done by the gas is n×Cy(T; - Tf).

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 92AP: Two moles of a monatomic ideal gas such as oxygen is compressed adiabatically and reversibly from a...

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Question

A cylinder containing n mol of an ideal gas undergoes an
adibatic process. Starting with dW = pdV and using the
condition pVY = constant, show that the work done by the
gas:
1
W
× (p;V; - PfV¢)
%3D
Starting from the first law of thermodynamics in differential
form, prove that the work done by the gas is n×Cy(T; - Tf).

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