Abnormal Colligative properties ,Vant-Hoff's factor

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Question

At 300 K, 0.3 M sucrose solution is isotonic with 0.15 M KCl solution. Degree of dissociation of KCl in the solution is

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Solution

For isotonic solution
$i_{1} M_{1} (sucrose) = i_{2} M_{2} (KCl) 1 (0.3 M) = i_{2} (0.15 M) i_{2} (KCl) = \frac{0.3}{0.15} = 2 \underset{1 - α}{KCl} ⇋ \underset{α}{K^{+}} + \underset{α}{{Cl}^{-}} i = 1 - α + α + α = 1 + α 1 + α = 2 α = 2 - 1 α = 1;$

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