Q. In a 0.2 molal aqueous solution of a weak acid $HX$, the degree of ionization is 0.3. Taking $K_{f}$for water as 1.85, the freezing point of the solution will be nearest to

A) $- 360℃$
B) $0.260℃$
C) $+ 0.480℃$
D) $- 0.480℃$
Explanation

(d)
$HX \rightleftharpoons {\ \ \ H}^{+} + X^{-}$
1 mole 0 0 initial
$1 - 0.3\ \ 0.3\ \ 0.3$ after dissociation
Total moles $= 0.7 + 0.3 + 0.3 = 1.3$
$\therefore\ \ i = \frac{1.3}{1} = 1.3$
$\mathrm{\Delta}T_{f} = i \times k_{f} \times m = 1.3 \times 1.85 \times 0.2 = 0.481℃$
$\therefore T_{f} = T - \mathrm{\Delta}T_{f} = 0 - 0.481℃ = - 0.481℃$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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