(1) Isotonic solutions : The solutions having the same osmotic pressure at a given temperature are called isotonic solutions.
Explanation : If two solutions of substances A and B contain nA and nB moles dissolved in volume V (in dm-3) of the solutions, then their concentrations are,
CA = \(\frac{n_A}{V}\)(in mol dm-3) and
CB = \(\frac{n_B}{V}\) (in mol dm-3)
If the absolute temperature of both the solutions is T, then by the van't Hoff equation, πA = CART and πB = CBRT where πA and πB are their osmotic pressures.
For the isotonic solutions,
πA = πB
∴ CA = CB
∴ \(\frac{n_A}{V}\) = \(\frac{n_B}{V}\)
∴ nA = nB
Hence, equal volumes of the isotonic solutions at the same temperature will contain equal number of moles (hence, equal number of molecules) of the substances.
(2) Hypotonic solutions : When two solutions have different osmotic pressures, then the solution having lower osmotic pressure is said to be a hypotonic solution with respect to the other solution.
Explanation : Consider two solutions of the substances A and B having osmotic pressures πA and πB. If πB is less than πA, then the solution B is a hypotonic solution with respect to the solution A.
Hence, if CA and CB are their concentrations, then, CB < CA .
Hence, for equal volumes of the solutions, nA < nA.
(3) Hypertonic solutions : When two solutions have different osmotic pressures, then the solution having higher osmotic pressure is said to be a hypertonic solution with respect to the other solution.
Explanation : Consider two solutions of substances A and B having osmotic pressures πA and πB . If πB is greater than πA , then the solution B is a hypertonic solution with respect to the solution A.
Hence, if CA and CB are their concentrations, then CB > CA.
Hence, for equal volume of the solutions, nB > nA.