Question

In 0.25 liters of solution contains 2.3 gm of non-electrolite at 17°c and osmotic pressure is 488.2kPa. Find molecular weight of this non-electrolite solution.

Answer 1

In 0.25 liters of solution contains 2.3 gm of non-electrolite at 17°C and osmotic pressure is 488.2 kPa. Find molecular weight of this non-electrolite solution.

Solution

To find molecular weight of non-electrolite solution we should use Mendeleev-Clapeyron equation as far as substances dissolved in non-electrolite solution behave as gases.

PV = nRT; n = m/M;

PV = RTm/M,

M = RTm/PV.

m = 2.3 gm,

T = 273 + 17 = 290 K,

P = 488200 Pa,

R = 8.314 J K⁻¹mol⁻¹,

V = 0.25 L = 0.25 dm³ = 0.25*10⁻³m³.

M = 8.314*290*2.3 / (488200*0.25*10⁻³) ≅ 45 (gm/mol).

Answer: 45 gm/mol.

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