A molecule M associates in a given solvent according to the equation M ⇌ ( M ) n . For a certain concentration of M, the van't Hoff factor was found to be 0.9 and the fraction of associated mol

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A molecule M associates in a given solvent according to the equation M ⇌ ( 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:

TestHub · Accepted Answer

van't Hoff factor (i) and the degree of association are related as below : ​ i = 1 − α ( 1 − n 1 ​ ) 0.9 = 1 − 0.2 ( 1 − n 1 ​ ) ​ On solving, ​ ( 1 − n 1 ​ ) = 2 1 ​ n 1 ​ = 1 − 2 1 ​ = 2 1 ​ ∴ n = 2 ​

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