STATISTICAL AND THERMAL PHYSICS PLEASE HELP ANSWER ALL QUESTIONS (a) Calculate the number of possible microstates for each macrostate n for N = 8 particles. What is the probability that n= 8? What is the probability that n = 4? It is possible to count the number of microstates for each n by hand if you have enough patience, but because there are a total of 2° = 256 microstates, this counting would be very tedious. An alternative is to obtain an expression for the number of ways that n particles out of N can be in the left half of the box. Motivate such an expression by enumerating the possible microstates for smaller values of N until you see a pattern. (b) The macrostate with n = N/2 is much more probable than the macrostate withn = N. Why?

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STATISTICAL AND THERMAL PHYSICS
PLEASE HELP ANSWER ALL QUESTIONS
(a) Calculate the number of possible microstates for each macrostate n for N = 8 particles. What
is the probability that n = 8? What is the probability that n = 4? It is possible to count the
number of microstates for each n by hand if you have enough patience, but because there are a
total of 28 = 256 microstates, this counting would be very tedious. An alternative is to obtain
an expression for the number of ways that n particles out of N can be in the left half of the
box. Motivate such an expression by enumerating the possible microstates for smaller values
of N until you see a pattern.
(b) The macrostate with n = N/2 is much more probable than the macrostate with n = N.
Why?
ll
02:37 PM
2022-04-27 Page: 1 of 1
国 昆言
E E E E
+
Words: 9
100% -
Transcribed Image Text:Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? W % Cut =。三,年 外T A Find - Calibri (Body) - 11 - A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy ae Replace Paste BI U abe x, x* A ab A I Normal I No Spaci. Heading 1 Change . Heading 2 Title Subtitle Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing L • 2. 1:. I' 2: 1 : 3:1 • 4.I 5.1' 6.1'7 I'8: 1 9 ' 10.L· 11: 1 ' 12.'13 · L 14: 1· 15.1A L'17:1 18 STATISTICAL AND THERMAL PHYSICS PLEASE HELP ANSWER ALL QUESTIONS (a) Calculate the number of possible microstates for each macrostate n for N = 8 particles. What is the probability that n = 8? What is the probability that n = 4? It is possible to count the number of microstates for each n by hand if you have enough patience, but because there are a total of 28 = 256 microstates, this counting would be very tedious. An alternative is to obtain an expression for the number of ways that n particles out of N can be in the left half of the box. Motivate such an expression by enumerating the possible microstates for smaller values of N until you see a pattern. (b) The macrostate with n = N/2 is much more probable than the macrostate with n = N. Why? ll 02:37 PM 2022-04-27 Page: 1 of 1 国 昆言 E E E E + Words: 9 100% -
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