# Equation 2

This equation will allow you to calculate the Relative Humidity (RH) in equilibrium with PEG solutions given in mass fraction (w/w) i.e 20% = 0.2 mass fraction. You will need to enter the molecular weight of the PEG in Da.

The Relative Humidity (RH) in equilibrium with solutions can be understood in terms of Raoult's law. It has two aspects that are counter-intuitive and lead to some surprising observations. The first is that the number of equivalent molecules in solution must be accounted for. This means that for sodium chloride, each ion in solution counts as a molecular equivalent. This requires knowledge of the ionization behaviour of the substance in solution. For example, ammonium sulfate effectively dissociates into two ions [NH4^{+} and (NH4SO4)^{-}] and not three as might be expected. Raoult's law starts to break down for PEG solutions over a molecular weight of 1000 Da but this can be corrected using the Flory-Huggins model for the entropy of mixing (used in equation 2).