A 0.5 percent solution of potassium chloride was found to freeze at −0.24°C. The percentage dissociation of potassium chloride is (Nearest integer). (Molal depression constant for water is 1.80 K kg m

Question

A 0.5 percent solution of potassium chloride was found to freeze at −0.24°C. The percentage dissociation of potassium chloride is (Nearest integer). (Molal depression constant for water is 1.80 K kg mol⁻¹ and molar mass of KCl is 74.6 g mol⁻¹)

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Strategy:
 A 0.5% solution means 0.5 g of solute per 100 g of solution. Use this to determine the molality, then compute  from the freezing point depression.

Step 1: Calculate molality ()
- Mass of solute = 0.5 g.
- Mass of solvent .
- Molar mass of .

Step 2: Determine van't Hoff factor ()

Step 3: Calculate percentage dissociation
.

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