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Solubility

Calculate the...

Question

Calculate the osmotic pressure of the solution obtained by mixing 1 L of 7.5% solution of a substance A (molecular weight =75) and 2 L of 5% solution of a substance B(molecular weight =60) at $180^{o} C$ .

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Solution

A =7.5%= $75 g L^{- 1}$
B=5%= $50 g L^{- 1} = 100 g {(2 L)}^{- 1}$
Total volume =3 L=3000 mL
$M w_{A} = \frac{W_{2} \times 1000}{M w_{2} \times V o l u m e o f s o l u t i o n} = \frac{75 \times 1000}{75 \times 3000} = 0.33$
$M w_{B} = \frac{100 \times 1000}{60 \times 3000} = 0.555$
$π = (M w_{A} + M w_{B}) R T$

$= (0.33 + 0.555) \times 0.082 \times 453$

$= 0.888 \times 0.082 \times 453 = 33.05 a t m$

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