20 gm. of a binary electrolyte (mol. wt. = 100) are dissolved in 500 g of water. The freezing point of the solution is − 0.7 4 ∘ C . K f = 1.86 K molality − 1 . The degree of ionization of the elect

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20 gm. of a binary electrolyte (mol. wt. = 100) are dissolved in 500 g of water. The freezing point of the solution is − 0.7 4 ∘ C . K f ​ = 1.86 K molality − 1 . The degree of ionization of the electrolyte is :

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Molality m = 0.5 20/100 ​ = 0.4 m . Using Δ T f ​ = i K f ​ m : 0.74 = i × 1.86 × 0.4 ⇒ i ≈ 1 . For a binary electrolyte, i = 1 + α . Hence, 1 = 1 + α ⇒ α = 0 . Therefore, the electrolyte does not ionize in solution. ∴ Degree of ionization = 0% (Answer: D).

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