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The osmotic pressure of the solution obtained by mixing $200 {cm}^{3}$ of 2% (mass-volume) solution of urea with $200 {cm}^{3}$ of 3.42% solution of sucrose at 20°C is

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1.2 bar

15.4 bar

5.2 bar

4 bar

answer is C.

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Detailed Solution

$2 % urea of 200 c {cm}^{3} + 3.42 % sucroce of 200 {cm}^{3}$

$n_{1} = \frac{4}{60}, n_{2} = \frac{3.42}{342} \times 2$

= 0.066 = 0.02

$n = n_{1} + n_{2}$

= 0.086

$n = \frac{0.086}{400} \times 1000 \times 0.0821 \times 293$

= 5.2 bar

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