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  4. Osmotic pressure of a solution containing 2 g dissolved protein per 300 cm3 of solution is 20 mm of Hg at 27 °C. The molecular mass of protein is

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Q. Osmotic pressure of a solution containing $2\, g$ dissolved protein per $300\, cm^3$ of solution is $20\, mm$ of Hg at $27\,{}^°C$. The molecular mass of protein is

Solutions

Solution:

$\pi = \frac{n_{B}RT}{V}; n_{B} = \frac{W_{B}}{M_{B}}$
$\pi = \frac{W_{B}}{M_{B}} \times \frac{RT}{\pi}$
$M_{B} = \frac{W_{B}}{V} \times \frac{RT}{\pi}$
$= \frac{2 \times 0.0821 \times 300 \times 760}{0.3 \times 20}$
$= 6239.6\, g\, mol^{-1}$