Real microstates change within mixing two gases

sludger13
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Hello,
I'm looking for some changes of energy states of particles, as two gases are mixing together without total volume changing. That would explain increasing entropy better than their position combination.
I know the particle energy states are getting more closely (the band gaps are reducing) as the gas is expanding. Is this the same effect?
Thanks for every remark or advice.
 
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I think I found the answer - it is the same phenomenon like a gas expansion.
Dalton's Law that "each gas is a vacuum to the other gas"
Though I don't get it, why that band gap decreasing should happen during expansion.
 

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