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The osmotic pressure of a urea solution is 500 mm of Hg at $10 ° C$ . The solution is diluted and its temperature is raised to $25 ° C$ . It is now found that osmotic pressure of the solution is reduced to 105.3 mm of Hg. Find number of times of dilution of the solution

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answer is 5.

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Detailed Solution

$π_{1} v_{1} = n R T_{1} π_{2} v_{2} = n R T_{2} \frac{v_{2}}{v_{1}} = \frac{π_{1}}{π_{2}} \times \frac{T_{2}}{T_{1}} = \frac{500}{105.3} \times \frac{298}{283} = 5$

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