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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

A molecule \(M\) associates in a given solvent according to the equation \(M\, \rightleftharpoons \,{(M)_n}\) For a certain concentration of \(M,\) the van't Hoff factor was found to be \(0 .9\) and the fraction of associated molecules was \(0.2.\) The value of \(n\) is

  1. A \(3\)
  2. B \(5\)
  3. C \(2\)
  4. D \(4\)
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Answer & Solution

Correct Answer

(C) \(2\)

Step-by-step Solution

Detailed explanation

van't Hoff factor \((i)\) and the degree of association are related as below : \(i\, = \,1\, - \,\alpha \,\left( {1 - \,\frac{1}{n}} \right)\) \(0.9\, = \,1 - \,0.2\,\left( {1 - \frac{1}{n}} \right)\) On solving, \(\,\left( {1 - \frac{1}{n}} \right)\, = \,\frac{1}{2}\)…
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