Suppose that two systems, each composed of two particles rep- resented by circles, have 20 J of total energy. Which system, A or B, has the greatest entropy? Why? System A 10J System B 12J 8 J
Suppose that two systems, each composed of two particles rep- resented by circles, have 20 J of total energy. Which system, A or B, has the greatest entropy? Why? System A 10J System B 12J 8 J
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Transcription and Explanation for Educational Website**
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**Problem Context:**
29. Suppose that two systems, each composed of two particles represented by circles, have 20 J of total energy. Which system, A or B, has the greatest entropy? Why?
**Diagram Explanation:**
- *System A:*
- One particle is associated with 10 J of energy.
- The second particle is also associated with 10 J of energy.
- *System B:*
- One particle is associated with 12 J of energy.
- The second particle is associated with 8 J of energy.
**Analysis:**
Entropy is a measure of the number of ways energy can be distributed among the particles in a system. In general, entropy is higher when energy is spread out more evenly among the particles.
- *System A:* The energy distribution is equal between both particles (10 J each).
- *System B:* The energy distribution is unequal (12 J and 8 J).
**Conclusion:**
System A has a more even distribution of energy, with each particle having 10 J. Therefore, System A likely has the greater entropy because the energy is more evenly distributed, leading to more possible microstates or configurations.
---
This is a conceptual analysis and the idea of entropy in thermodynamics relates to the number of configurations or microstates available to a system, often leading to higher entropy with more even distributions of energy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78a9a2c8-87fa-4dce-a05a-3dd826ae3dea%2Fa1701bed-b626-4d86-9137-639eb42d3dc3%2Fj1manv9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription and Explanation for Educational Website**
---
**Problem Context:**
29. Suppose that two systems, each composed of two particles represented by circles, have 20 J of total energy. Which system, A or B, has the greatest entropy? Why?
**Diagram Explanation:**
- *System A:*
- One particle is associated with 10 J of energy.
- The second particle is also associated with 10 J of energy.
- *System B:*
- One particle is associated with 12 J of energy.
- The second particle is associated with 8 J of energy.
**Analysis:**
Entropy is a measure of the number of ways energy can be distributed among the particles in a system. In general, entropy is higher when energy is spread out more evenly among the particles.
- *System A:* The energy distribution is equal between both particles (10 J each).
- *System B:* The energy distribution is unequal (12 J and 8 J).
**Conclusion:**
System A has a more even distribution of energy, with each particle having 10 J. Therefore, System A likely has the greater entropy because the energy is more evenly distributed, leading to more possible microstates or configurations.
---
This is a conceptual analysis and the idea of entropy in thermodynamics relates to the number of configurations or microstates available to a system, often leading to higher entropy with more even distributions of energy.
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