10 gm of solute A and 20 gm of solute B are both dissolved in 500 ml water. The solution has the same osmotic pressure as 6.67 gm of A and 30 gm of B dissolved in the same amount of water at the same

Question

10 gm of solute A and 20 gm of solute B are both dissolved in 500 ml water. The solution has the same osmotic pressure as 6.67 gm of A and 30 gm of B dissolved in the same amount of water at the same temperature. If the ratio of molar masses of A and B is x : 1, the value of 'x' is.

TestHub · Accepted Answer

For the same osmotic pressure: π 1 ​ = π 2 ​ Using the formula: π = CRT = M V wRT ​ Since T and V are the same: M A ​ 10 ​ + M B ​ 20 ​ = M A ​ 6.67 ​ + M B ​ 30 ​ Rearranging the terms: M A ​ 10 − 6.67 ​ = M B ​ 30 − 20 ​ M A ​ 3.33 ​ = M B ​ 10 ​ M B ​ M A ​ ​ = 10 3.33 ​ = 0.333 Given the ratio M A ​ : M B ​ = x : 1 , x = 0.33

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