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An electrolyte A gives 3 ions and B is a non electrolyte. If 0.1M solution of B produces an osmotic pressure of P, then 0.05M solution of A will produce an osmotic pressure assuming that the electrolyte is completely ionized

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1.5P

0.75P

0.5P

answer is A.

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Detailed Solution

For an electrolyte A, $π_{A} = {iC}_{A} RT$

For non electrolyte B, $π_{B} = C_{B} RT$

$\frac{π_{A}}{π_{B}} = \frac{{iC}_{A}}{C_{B}} \frac{π_{A}}{P} = \frac{3 (0.05)}{0.1} π_{A} = 1.5 P$

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