There is an equation enscribed on Boltzmann's tomb...
Boltzmann's relation, shown above, relates the entropy of mixing to the number of possible arrangements in space that the molecules may assume.
| k | Boltzmann's constant |
| ΔSmix | change of entropy that occurs as a solute (polymer) mixes with a solvent |
| W | the number of possible arrangements in space that the molecules may assume |
| N0 | is the sum of polymer and solvent molecules. |
| N1 | is the number of solvent molecules. |
| N2 | is the number of polymer molecules. |
Stirling's approximation is used to solve for W, because a calculator can't solve N! if N is greater than 69.
The equations above can be put together to derive entropy of mixing as defined in terms of weight fractions and number of solvent molecules and polymer molecules.
