Free
energy also is a measure of escaping
tendency, as the experiment at the bottom left
illustrates. Ether and water will not mix; they are mutually
insoluble because the polar water molecules can form much
stronger interactions by separating from the nonpolar ether
molecules into their own phase. If we shake water and ether
together in a flask, they divide into two layers upon standing.
Iodine crystals are soluble to a limited extent in both
ether and water. If we add a small amount of iodine to the
ether phase, some of the deep violet color slowly will appear
in the water phase as a brown coloration, and if we add iodine
to the water, some of it will diffuse into the ether. The
free energy per mole, or chemical
potential, of a substance in a mixture depends
on its concentration; The higher the
concentration, the higher the
chemical potential. The spontaneous
tendency of molecules to diffuse from regions of high concentration
to more dilute regions is another example of the tendency
to move from high to low potential. In the ether-water experiment,
if iodine is added to the ether, its chemical potential in
ether initially is higher than in water; hence iodine molecules
migrate from ether to water until their chemical potential
or free energy per mole is the same in both phases. When this
condition is reached; no further change in free energy is
produced by moving a molecule of I2 from one phase
to the other, D G = O for the transfer, and equilibrium
exists
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