The internal energy of ideal gases only depends on temperature. When this is used with the energy balance, the following equation can be derived to relate T and V during an ideal gas adiabatic process: T2 T₁ V₂ -()* = R/Cv For real gases the internal energy is a function of temperature and molar volume (or pressure). The equation which describes is: ӘР + [T (OF), -P] JU Plav dV dU = CydT+ using, develop an equation (in terms of T and V) for the adiabatic compression of a gas following the van der Waals EOS.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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The internal energy of ideal gases only depends on temperature. When this is used with the
energy balance, the following equation can be derived to relate T and V during an ideal gas
adiabatic process:
R/Cv
T₂
1/2 = ( ) ***
T₁
For real gases the internal energy is a function of temperature and molar volume (or pressure).
The equation which describes is:
ӘР
dU = CvdT + [r (3P) - P] dv
PdV
ӘТ
using, develop an equation (in terms of T and V) for the adiabatic compression of a gas
following the van der Waals EOS.
Transcribed Image Text:The internal energy of ideal gases only depends on temperature. When this is used with the energy balance, the following equation can be derived to relate T and V during an ideal gas adiabatic process: R/Cv T₂ 1/2 = ( ) *** T₁ For real gases the internal energy is a function of temperature and molar volume (or pressure). The equation which describes is: ӘР dU = CvdT + [r (3P) - P] dv PdV ӘТ using, develop an equation (in terms of T and V) for the adiabatic compression of a gas following the van der Waals EOS.
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