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For 1% solutions of $KCl (I), NaCl (II), {BaCl}_{2} (III)$ and urea (IV), osmotic pressures at the same temperature in the ascending order will be (Assume 100% ionization of the electrolytes at this temperature)

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I < III < II < IV

III < I < II < IV

I < II < III < IV

III < IV < I < II

answer is D.

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Detailed Solution

$π = iCRT = i \times \frac{w \times 1000 \times R \times T}{M \times V}$

For 1% solution, $π \propto \frac{i}{M}$

electrolyte	Molecular weight(M)	i-value	$\frac{i}{M}$ value
KCl	74.5	2	$\frac{2}{74.5}$
NaCl	58.5	2	$\frac{2}{58.5}$
BaCl₂	208	3	$\frac{3}{208}$
Urea	60	1	$\frac{1}{60}$

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