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
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ISBN:9781938168161
Author:OpenStax
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Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 90AP: A cylinder containing three moles of a monatomic ideal gas is heated at a constant pressure of 2...
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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
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).
Transcribed Image Text: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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