# 2.41    Determine the osmotic pressure of a solution prepared by dissolving $\inline 25\; mg$  of $\inline K_{2}SO_{4}$  in  $\inline 2\; litre$  of water at $\inline 25^{\circ}C,$  assuming that it is completely dissociated.

Dissociation of K2SO4 is as follows :-

It is clear that 3 ions are produced, so the value of i will be 3.

Molecular weight of K2SO4 = 2(39) + 1(32) + 4(16) = 174u.

$\Pi = i\ C\ R\ T$

Putting all the values :-

$\Pi =\frac{3 \times 25 \times 10-3 \times 0.082 \times 298}{174\times2}$

$= 5.27\times10^{-3}\ atm$

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