Question
Asked Oct 27, 2019

question 4.4  from thermodynamics and statistical mechanics an integrated approach written by scott shell

A volume V consists of equal moles of two ideal gases A and B. Find an
expression for the probability that the gases will spontaneously demix into
regions of pure A and pure B. Calculate the number of molecules for which
the probability is 1%, 0.01%, and 0.0001%.

4.4. A volume V consists of equal moles of two ideal gases A and B. Find an
expression for the probability that the gases will spontaneously demix into
regions of pure A and pure B. Calculate the number of molecules for which
the probability is 1%, 0.01%, and 0.0001%.
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4.4. A volume V consists of equal moles of two ideal gases A and B. Find an expression for the probability that the gases will spontaneously demix into regions of pure A and pure B. Calculate the number of molecules for which the probability is 1%, 0.01%, and 0.0001%.

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Expert Answer

Step 1

The expression for the probability is,

2
Р-
2N
=2+2
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2 Р- 2N =2+2

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Step 2

The number of molecules when probability 1%,

1%-2-2
2" 1+2(10)
In(2)
7
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1%-2-2 2" 1+2(10) In(2) 7

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Step 3

The number of molecules whe...

0.01%-22
In(10)
2 14
In(2)
14
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0.01%-22 In(10) 2 14 In(2) 14

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