(3) [10 pts] Ideal gas (1 mol) expanded adiabatically from the initial equilibrium with temperature, volume, and pressure of (T₁, V₁, P₁) to the final equilibrium with (T2, V2, P2). Show that the work done to the environment, using the heat capacity ratio y, is W = P₁V₁ Y-1 (P2)\ Y -

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 27P: An ideal gas expands quasi-statically and isothermally from a state with pressure p and volume V to...
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(3) [10 pts] Ideal gas (1 mol) expanded adiabatically from the initial equilibrium with temperature,
volume, and pressure of (T₁, V₁, P₁) to the final equilibrium with (T2, V2, P2). Show that the work
done to the environment, using the heat capacity ratio y, is
W =
P₁V₁
Y-1
(P2)\ Y
-
Transcribed Image Text:(3) [10 pts] Ideal gas (1 mol) expanded adiabatically from the initial equilibrium with temperature, volume, and pressure of (T₁, V₁, P₁) to the final equilibrium with (T2, V2, P2). Show that the work done to the environment, using the heat capacity ratio y, is W = P₁V₁ Y-1 (P2)\ Y -
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