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20 g of a substance were dissolved in 500 mL of water and the osmotic pressure of the solution

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20 g of a substance were dissolved in 500 mL of water and the osmotic pressure of the solution was found to be 600 mm of mercury at 15°C. The molecular weight of substance is :

(a) 998

(b) 1028

(c) 1098

(d) 1198

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(d) 1198

Explanation:

πV = nRT

500/1000 π = 20/m x 0.082 x (273 + 15)

500/1000 x 600/760 = 20/m x 0.082 x 288

m = (20 x 0.082 x 288 x 1000 x 760)/(500 x 600)

= 1198

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