Here you are invited to explore the effect of molecular repulsions and attractions in an imperfect gas by considering each of the terms in the van der Waals equation of state in turn. (a) If molecular repulsions dominate, the van der Waals equation of state may be approximated as p = nRT/(V-nb). Derive the work done for a gas that obeys this equation of state.Does such a gas do more or less work than a perfect gas for the same change of volume? (b) If, however, molecular attractions dominate, the equation of state may be w ritten as p = nRT/V- n2a/V2. Derive an equivalent expression for a gas in which molecular attractions dominate. Does such a gas do more or less work than a perfect gas for the same change of volume?
Here you are invited to explore the effect of molecular repulsions and attractions in an imperfect gas by considering each of the terms in the van der Waals equation of state in turn. (a) If molecular repulsions dominate, the van der Waals equation of state may be approximated as p = nRT/(V-nb). Derive the work done for a gas that obeys this equation of state.Does such a gas do more or less work than a perfect gas for the same change of volume? (b) If, however, molecular attractions dominate, the equation of state may be w ritten as p = nRT/V- n2a/V2. Derive an equivalent expression for a gas in which molecular attractions dominate. Does such a gas do more or less work than a perfect gas for the same change of volume?
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
Here you are invited to explore the effect of molecular repulsions and attractions in an imperfect gas by considering each of the terms in the van der Waals equation of state in turn. (a) If molecular repulsions dominate, the van der Waals equation of state may be approximated as p = nRT/(V-nb). Derive the work done for a gas that obeys this equation of state.
Does such a gas do more or less work than a perfect gas for the same change of volume? (b) If, however, molecular attractions dominate, the equation of state may be w ritten as p = nRT/V- n2a/V2. Derive an equivalent expression for a gas in which molecular attractions dominate. Does such a gas do more or less work than a perfect gas for the same change of volume?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
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…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The