Solutions and Colligative PropertiesmediumMCQ SINGLE

An aqueous solution containing 0.25 moles of a non-volatile but strong electrolyte solute ‘X’ in 500Solutions and Colligative Properties Chemistry Question

Question

An aqueous solution containing 0.25 moles of a non-volatile but strong electrolyte solute ‘X’ in 500 g water freezes at $-2.79^\circ\text{C}$. The number of ions furnished in water per formula unit of ‘X’ is ($K_f = 1.86$)

Answer: C

💡 Solution & Explanation

Molality $m = \text{moles} / \text{kg solvent} = 0.25 / 0.500 = 0.5 \text{ m}$. $\Delta T_f = i \times K_f \times m \Rightarrow 2.79 = i \times 1.86 \times 0.5 \Rightarrow 2.79 = i \times 0.93 \Rightarrow i = 2.79 / 0.93 = 3$. For a strong electrolyte, $i$ equals the number of ions. Therefore, correct answer is C.

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