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9. Consider the following model for gas expansion. The grids represent positions that the gas molecules (represented by circles) can occupy, while the vertical bar represents a movable piston that is impermeable to the gas. In other words, gas molecules on the left of the piston can occupy any of the grids on the left, but cannot pass to the right. Likewise, case molecules on the cannot pass to the left of the piston but they can occupy any grid points on its right. Assume the system is isolated so that it is not interacting with its surroundings. A B "Piston" "Piston" In this context, W, the multiplicity, is given by W = M! N!(M-N)! SYSTEM SYSTEM where M is the number of grid points and N is the number of gas molecules. A. Calculate the entropy of the system for case A (top) and case B (bottom). B. What will be the position of the piston at equilibrium? Explain your answer.

9. Consider the following model for gas expansion. The grids represent positions that the gas molecules (represented by circles) can occupy, while the vertical bar represents a movable piston that is impermeable to the gas. In other words, gas molecules on the left of the piston can occupy any of the grids on the left, but cannot pass to the right. Likewise, case molecules on the cannot pass to the left of the piston but they can occupy any grid points on its right. Assume the system is isolated so that it is not interacting with its surroundings. A B "Piston" "Piston" In this context, W, the multiplicity, is given by W = M! N!(M-N)! SYSTEM SYSTEM where M is the number of grid points and N is the number of gas molecules. A. Calculate the entropy of the system for case A (top) and case B (bottom). B. What will be the position of the piston at equilibrium? Explain your answer.

Chemistry
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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9. Consider the following model for gas expansion. The grids represent positions that the gas molecules (represented by circles) can occupy, while the vertical bar represents a movable piston that is impermeable to the gas. In other words, gas molecules on the left of the piston can occupy any of the grids on the left, but cannot pass to the right. Likewise, case molecules on the cannot pass to the left of the piston but they can occupy any grid points on its right. Assume the system is isolated so that it is not interacting with its surroundings. A B "Piston" + "Piston" In this context, W, the multiplicity, is given by W = M! N!(M-N)! SYSTEM SYSTEM where M is the number of grid points and N is the number of gas molecules. A. Calculate the entropy of the system for case A (top) and case B (bottom). B. What will be the position of the piston at equilibrium? Explain your answer.
Transcribed Image Text:9. Consider the following model for gas expansion. The grids represent positions that the gas molecules (represented by circles) can occupy, while the vertical bar represents a movable piston that is impermeable to the gas. In other words, gas molecules on the left of the piston can occupy any of the grids on the left, but cannot pass to the right. Likewise, case molecules on the cannot pass to the left of the piston but they can occupy any grid points on its right. Assume the system is isolated so that it is not interacting with its surroundings. A B "Piston" + "Piston" In this context, W, the multiplicity, is given by W = M! N!(M-N)! SYSTEM SYSTEM where M is the number of grid points and N is the number of gas molecules. A. Calculate the entropy of the system for case A (top) and case B (bottom). B. What will be the position of the piston at equilibrium? Explain your answer.
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