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Question

Ice begins to separate at −0.744°C from an aqueous solution containing 2.4 g of a non-volatile, nonelectrolyte in 100 g water. The osmotic pressure of the solution at 27°C is (Kf for water = 1.86, assume molality = molarity)

Options

A.0.4 atm
B.9.852 atm
C.997.68 atm
D.240 atm

Solution

$\Delta T_{f} = K_{f}.m \Rightarrow 0.744 = 1.86 \times m \Rightarrow m = 0.4$

Now, $\pi = CRT = 0.4 \times 0.0821 \times 300 = 9.852\text{ atm}$

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