What is osmotic pressure, and what is it dependent on?

1 Answer
Jul 4, 2017

Osmotic pressure is the pressure that needs to be applied to one side of a semi-permeable membrane to prevent solvent flow across the membrane into the more concentrated side, and is given by:

Pi = iMRT,

where:

  • i is the van't Hoff factor for the solute(s), i.e. the effective number of particles in solution per formula unit.
  • M is the solution concentration in... well, "mol/L", molarity, "M".
  • Pi is the osmotic pressure in "atm", if R is the universal gas constant in "L"cdot"mol/atm"cdot "K".
  • T is temperature in "K", as usual.

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Thus, osmotic pressure is dependent on

  • the electrolytic features of the solute (the stronger the electrolyte, the more particles per formula unit, and thus the higher the Pi needed to stop a larger number of solute particles from sucking up the solvent)
  • the concentration of the solution on one side of the membrane (the higher it is, the greater the Pi needed to stop a higher concentration of solute from sucking up the solvent)
  • the temperature of the solution (the higher it is, the greater Pi is to stop the faster solvent flow in warmer environments)

These are all direct proportionalities, i.e. as Tuarr, Piuarr, etc.