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  4. Osmotic pressure of urea solution at 10°C is 500 mm. Osmotic pressure of the solution becomes 1053 mm when it is diluted and the temperature israised to 25 °C. The extent of dilution is

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Q. Osmotic pressure of urea solution at 10$^\circ$C is 500 mm. Osmotic pressure of the solution becomes 1053 mm when it is diluted and the temperature israised to 25 $^\circ$C. The extent of dilution is

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Solution:

$\frac{\pi_1}{\pi_2} = \frac{n_1 RT_1 /V_1}{n_2 RT_2 /V_2}$ or $\frac{500}{105.3} = \frac{283 /V_1}{298/V_2}$
$\therefore $ $V_2 /V_1$ = 5