Interferon is a water-soluble protein. A solution prepared by dissolving 15.0 mg of interferon in 2.50 mL of $H_{2} O$ exhibits an osmotic pressure of 5.80 mm Hg at 25°C. What is the molar mass of interferon?

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$\begin{aligned} 1.92 \times 10^{4} g \cdot {mol}^{- 1} \end{aligned}$

$\begin{aligned} 1.92 \times 10^{7} g \cdot {mol}^{- 1} \end{aligned}$

$1.95 \times 10^{6} g \cdot {mol}^{- 1}$

$1.61 \times 10^{8} g \cdot {mol}^{- 1}$

answer is A.

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Detailed Solution

The molar mass of interferon is,

$\frac{5.80}{760} = [\frac{\frac{15 \times 10^{- 3}}{M}}{2.5} \times 1000] \times 0.0821 \times 298$

$\Rightarrow M = 1.92 \times 10^{4} g {mol}^{- 1}$

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