Physics 32.5 Statistical Thermodynamics (11 of 39) Number of Microstates Analyzed N=100

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In this video I will analyze the number of microstates when N=100.

Next video in the polar coordinates series can be seen at:

[robharwood]

The 'uncertainty' was not in Stirling's approximation in this case, but rather in the lecturer's calculations (of the 10% interval, which should have been from 40 to 60, not 45 to 55). The correct ratio is approx. 0.133, or 13.3%, not 60.2%.

[lilsusieparkins]

I think the in the ratio here being larger than the previous example of N=50, is that you used a deviation of 20% from the maximum in the previous example, where 25 was the most probable macrostate, and the second macrostate you used was 20. If you use 22 as the second macrostate, given that 22.5 isn't an option, the result is 70.8% of the most probable population.

[telescope]

Why there is plus one with the equ?
Cuz in my book the equ written like N! =N ln N - N
Just like this
??

[fauziahbintisulaiman-]

i was thinking the same thing as what I've commented to the previous video.

[markdelej]

Why is it 10% wide, which is 5% on either side of the average? Why isnt it 10% on either side of the average?