The osmotic pressure of a solution of a synthetic polyisobutylene in benzene was determined at 21°C. A sample containing 0.20 g of solute /100 cm 3 of solution developed a rise of 2.46 mm at osmotic e

Question

The osmotic pressure of a solution of a synthetic polyisobutylene in benzene was determined at 21°C. A sample containing 0.20 g of solute /100 cm 3 of solution developed a rise of 2.46 mm at osmotic equilibrium. The density of the solution was 1.013 g / cm 3 . If the molecular weight of the polyisobutylene is x × 1 0 5 gm / mol , the value of ' x ' is?

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Given: Rise in liquid column h = 2.46 mm Density of solution d = 1.013 g / c m 3 Osmotic pressure: π = 1000 h ​ × d ( in g / c m 2 ) Using: π = M V wRT ​ For 0.2 g solute in 100 c m 3 solution and T = 294 K : M = πV wRT ​ Substituting values: M ≈ 2.0 × 1 0 5 g / m o l Given M = x × 1 0 5 , x = 2.00

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