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

Question

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 (A) 6 times (B) 5 times (C) 7 times (D) 4 time

Tardigrade Admin · Accepted Answer

(π1/π2) = (n1 RT1 /V1/n2 RT2 /V2) or (500/105.3) = (283 /V1/298/V2) ∴ V2 /V1 = 5

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

6 times

5 times

7 times

4 time

$\frac{π _{1}}{π _{2}} = \frac{n _{1} R T _{1} / V _{1}}{n _{2} R T _{2} / V _{2}}$ or $\frac{500}{105.3} = \frac{283/ V _{1}}{298/ V _{2}}$
$∴$ $V_{2} / V_{1}$ = 5

Q. 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