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.
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
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F864880db-8176-4490-8ed5-a1973b94a731%2F30a8bb66-5a65-41ea-9585-8a25b0db5cba%2Fmbm8efn_processed.png&w=3840&q=75)
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.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
![Process Dynamics and Control, 4e](https://www.bartleby.com/isbn_cover_images/9781119285915/9781119285915_smallCoverImage.gif)
![Industrial Plastics: Theory and Applications](https://www.bartleby.com/isbn_cover_images/9781285061238/9781285061238_smallCoverImage.gif)
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
![Unit Operations of Chemical Engineering](https://www.bartleby.com/isbn_cover_images/9780072848236/9780072848236_smallCoverImage.gif)
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The