Answered: When the membrane is ruptured, the gas…

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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Let’s verify that the macroscopic and microscopic approaches to the calculation of entropy lead to the same conclusion for the adiabatic free expansion of an ideal gas. Suppose the ideal gas as shown expands to four times its initial volume. As we have seen for this process, the initial and final temperatures are the same. (A) Using a macroscopic approach, calculate the entropy change for the gas. (B) Using statistical considerations, calculate the change in entropy for the gas and show that it agrees with the answer you obtained in part (A).

When the membrane
is ruptured, the gas
will expand freely and
irreversibly into the
full volume.
Insulating
wall
Vacuum
- Membrane
Gas at T; in
volume V;
Figure 21.16 Adiabatic free
expansion of a gas. The container
is thermally insulated from its sur-
roundings; therefore, Q= 0.

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