why is the entropy of mixing of an ideal solution non-zero?

Dear Student,

Entropy of mixing of ideal gas is not zero because there is an increase in disorderliness or entropy of a system on dissolution. 
Now for ideal solution, ΔHmix = 0
and we know that, ​ΔGmix=​ΔHmix-T​ΔSmix
or, ΔGmix = -T​ΔSmix
For the mixing to be spontaneous, ​ΔGmix <0
In order for ​ΔGmix <0 , ​ΔSmix > 0
Hence, entropy of mixing of ideal gas is positive. 

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