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6.10. A well-insulated container consists of two halves of equal volumes V separated by partition. On one half, there are N moles of a monatomic ideal gas at initial temperature Ti. On the other, there is a vacuum. The partition is suddenly removed, and the gas expands. Recall for a monatomic ideal gas that PV = NkgT a and E (3/2)NKBT. (a) Calculate the following quantities: the work done by the gas, the heat trans- ferred to the gas, the change in energy, the change in entropy, the final temperature, and the final pressure. (b) Consider the relationship discussed in this chapter, 8Q= T dS. Why do es an increase in entropy not correspond to a heat transfer in this case? (c) Instead of being suddenly removed, the partition is gradually moved to the empty side of the container so that the gas expands reversibly against the force of the partition. Repeat part (a) for this scenario.

6.10. A well-insulated container consists of two halves of equal volumes V separated by partition. On one half, there are N moles of a monatomic ideal gas at initial temperature Ti. On the other, there is a vacuum. The partition is suddenly removed, and the gas expands. Recall for a monatomic ideal gas that PV = NkgT a and E (3/2)NKBT. (a) Calculate the following quantities: the work done by the gas, the heat trans- ferred to the gas, the change in energy, the change in entropy, the final temperature, and the final pressure. (b) Consider the relationship discussed in this chapter, 8Q= T dS. Why do es an increase in entropy not correspond to a heat transfer in this case? (c) Instead of being suddenly removed, the partition is gradually moved to the empty side of the container so that the gas expands reversibly against the force of the partition. Repeat part (a) for this scenario.

Introduction to Chemical Engineering Thermodynamics
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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This problem is (6.10) from a book  "Thermodynamics and Statistical Mechanics An Integrated Approach by M. Scott Shell"

6.10. A well-insulated container consists of two halves of equal volumes V separated by partition. On one half, there are N moles of a monatomic ideal gas at initial temperature Ti. On the other, there is a vacuum. The partition is suddenly removed, and the gas expands. Recall for a monatomic ideal gas that PV = NkgT a and E (3/2)NKBT. (a) Calculate the following quantities: the work done by the gas, the heat trans- ferred to the gas, the change in energy, the change in entropy, the final temperature, and the final pressure. (b) Consider the relationship discussed in this chapter, 8Q= T dS. Why do es an increase in entropy not correspond to a heat transfer in this case? (c) Instead of being suddenly removed, the partition is gradually moved to the empty side of the container so that the gas expands reversibly against the force of the partition. Repeat part (a) for this scenario.
Transcribed Image Text:6.10. A well-insulated container consists of two halves of equal volumes V separated by partition. On one half, there are N moles of a monatomic ideal gas at initial temperature Ti. On the other, there is a vacuum. The partition is suddenly removed, and the gas expands. Recall for a monatomic ideal gas that PV = NkgT a and E (3/2)NKBT. (a) Calculate the following quantities: the work done by the gas, the heat trans- ferred to the gas, the change in energy, the change in entropy, the final temperature, and the final pressure. (b) Consider the relationship discussed in this chapter, 8Q= T dS. Why do es an increase in entropy not correspond to a heat transfer in this case? (c) Instead of being suddenly removed, the partition is gradually moved to the empty side of the container so that the gas expands reversibly against the force of the partition. Repeat part (a) for this scenario.
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