Solutions – fundamentals - Binary mixing with interactions
10 important questions on Solutions – fundamentals - Binary mixing with interactions
What is the difference between ideal mixing and the regular-solution model?
What is the mean-field approximation and how is it used to take the interactions into account?
How is the total energy due to A-A interactions calculated?
neighbors that are A, which makes the total energy due to A-A interactions 
. The half accounts for the shared interaction between two A particles.
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How is the total energy due to the A-B cross interactions calculated?
First an A particle with B neighbors is considered, second a B particle with A neighbors is considered.
What is the expression for the total mixed energy of the randomly mixed state?
is substituted and 
is substituted.The total mixed energy of the randomly mixed state is:
How is the difference in energy between the unmixed and the mixed state calculated?
Chi is called the exchange parameter.
How is the exchange parameter 
defined?
It is a dimensionless parameter that summarizes the effect of the three distinct pair interactions.
In which ways is it possible for a solution to lack mixing energy?
=0. Which is the case when 
and when 
.
How can the solution free energy for a binary mixture be calculated?
Where GA and GB give the pure-component free energies.
What different behaviors can occur depending on the exchange parameter?
then the system acts as an ideal solution.If
then the mixing energy is negative and lowers the free energy. This means the interactions between A-B are stronger than the self interactions.If
then the interactions between A-A and between B-B are more favorable than A-B interactions.
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