Question
Calculate the osmotic pressure in pascals exerted by a solution prepared by dissolving 1.0 g of polymer of molar mass 185,000 in 450 mL of water at 37°C.

Answer

We have given that,

Volume of water, V = 450ml = 0.450L

Temperature, T = (37 + 273)K = 310K

$\pi=?, \text{V}=450\text{ mL}=0.450\text{L},$

T = 273 + 37 = 310K

R = 0.083 L bar mol-1K-1,

M2 = 185,000, W2 = 1.0g

$\text{M}_2=\frac{\text{W}_2\text{RT}}{\pi\text{V}}$

$185,000=\frac{1.0\times0.083\times310}{\pi\times0.450}$

$\pi=\frac{1.0\times0.083\times310}{185,000\times0.450}$

=0.0003 bar.

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