Margules' 3 suffix equations for binary solution derivation

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scott_for_the_game
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Indicate briefly how the Margules' 3 suffix equations are derived for a binary solution.

ln gamma1 = [A12 + (B12 - A12)x1](x2)^2

ln gamma2 = [B12 + (A12 - B12)x2](x1)^2

Any idea how this would be shown.. :S
 
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You have the model for the excess gibbs energy, right? You can calculate the activity coefficient from the excess free energy model by differentiating wrt to the no of moles of component i, keeping the Temp, pressure constant.

For example, look at this thread