Lab 13: Entropy, Temperature and Heat Capicity (VP (Lab)
BRANDON JARROTT FELDKAMP
PHYS 2211, section M, Fall 2008
Instructor: Jennifer Curtis
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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 11.111.6
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 Warmup 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 twoatom 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
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View Full DocumentWhat 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
114
How many quanta of energy are in block 1?
23
quanta
How many quanta of energy are in block 2?
78
78
What percentage of the total oscillators are in block 1?
22
%
What percentage of the total oscillators are in block 2?
78
78
%
Change your program so block 1 has
170
330
For the most probable energy distribution between the two blocks:
How many microstates (ways of arranging the energy among all the oscillators) are there?
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 Spring '09
 PROG
 Physics, Thermodynamics, Energy, Entropy, Heat, The Trial

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