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Osmotic Pressure

What should b...

Question

What should be the osmotic pressure of a solution of urea in water at $30^{o} C$ which has boiling point 0.052 K higher than pure water? Assume molarity and molality to be the same. $K_{b}$ for water is 0.52 K kg $m o l^{- 1}$ .

0.487 a t m

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1.487 a t m

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2.487 a t m

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3.487 a t m

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Solution

The correct option is D $2.487 a t m$
We have,

$Δ T_{b} = K_{b} m$

$0.052 = 0.52 \times m$

$m = 0.1$

$π = C R T$

since molarity is equals to molality
$∴$ $C = m = 0.1$

$π = 0.1 \times 0.082 \times 303$

$π = 2.487 a t m$

Hence, option(C) is correct.

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