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Lab 13- Entropy, Temperature and Heat Capicity (VP

Lab 13- Entropy, Temperature and Heat Capicity (VP - Lab 13...

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Lab 13: Entropy, Temperature and Heat Capicity (VP (Lab) BRANDON JARROTT FELDKAMP PHYS 2211, section M, Fall 2008 Instructor: Jennifer Curtis Web Assign Current Score: 50 out of 50 Due: Monday, December 8, 2008 09:00 AM EST Description Quantized oscillator model of a solid: ways of distributing energy between two solid blocks. Sections 11.1-11.6 Instructions Read the handout you downloaded from the course website and follow the instructions. Also see problems 11.P.38, 11.P.39, 11.P.40 and 11.P.41 in the textbook starting on page 407. The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. 15/15 points Problem 11.P.38 Probability distribution Read the handout and do the Warm-up Exercises first. Then download the the program shell "Prob_11P38_shell.py" from the Lab Calendar on the course website. (a) Consider a system consisting of two atoms (three oscillators each), among which 4 quanta of energy are to be distributed. Write a program to display a histogram showing the total number of possible microstates of the two-atom system vs. the number of quanta assigned to atom 1. Compare your calculations and histogram to your results from your preliminary calculations. (See also page 378 in the textbook.) (b) Change your program to model a system consisting of two solid blocks, block 1 containing 300 oscillators and block 2 containing 200 oscillators. Find the possible distributions of 100 quanta among these blocks, and plot number of microstates vs. number of quanta assigned to block 1. Compare your calculations and histogram to those on page 350. From your plot, determine the most probable distribution of energy between the two solid blocks. You may find a straightedge helpful in reading your plots. For the most probable energy distribution between the two blocks: How many microstates (ways of arranging the energy among all the oscillators) are there? Number of ways = 6.86630544448 6.8 10 114 How many quanta of energy are in block 1? 60 60 quanta How many quanta of energy are in block 2? 40 40 quanta Together, the two blocks contain 500 oscillators. What percentage of the total oscillators are in block 1? 60 60 % Lab 13: Entropy, Temperature and Heat Capicity (VP http://www.webassign.net/[email protected]/student.pl?v=2008... 1 of 7 12/10/2008 3:56 PM
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What percentage of the total oscillators are in block 2? 40 40 % (c) In the following calculations you will change the number of oscillators in each block, while keeping the total number of oscillators constant, and report on what you see. Change your program so block 1 has 110 oscillators and block 2 has 390 oscillators: For the most probable energy distribution between the two blocks: How many microstates (ways of arranging the energy among all the oscillators) are there? Number of ways = 8.10865972695 8.25 10 114 How many quanta of energy are in block 1? 23 22 quanta How many quanta of energy are in block 2? 78 78 quanta What percentage of the total oscillators are in block 1? 22 22 % What percentage of the total oscillators are in block 2? 78 78 % Change your program so block 1 has 170 oscillators and block 2 has 330 oscillators:
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