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What are isotonic and hypertonic solutions?

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(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 dm3) of the solutions, then their concentrations are,

\(C_A = \frac{n_A}{V}\) (in mol dm-3) and

\(C_B = \frac{n_B}{V}\) (in mol dm-3)

If the absolute temperature of both the solutions is T, then by the van’t Hoff equation,

\(\pi_A = C_A RT\) and \(\pi_B = C_B RT,\) where \(\pi_A \) and \(\pi_B\)

are their osmotic pressures.

For the isotonic solutions,

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) 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.

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