Q. A 0.025 M solution of monobasic acid had a freezing point of $- 0.060℃$. The $pK_{a}$ for the acid is

A) 1.2
B) 2
C) 2.5
D) 5.7
Explanation

(c)
$m = \frac{\mathrm{\Delta}T}{k_{b}} = \frac{- 0.060}{- 1.86} = 3.2 \times 10^{- 2} = 0.032$
$ie$, 0.032 = total particle
$\therefore$ The number of $H^{+} = (0.032 - 0.025)m = 0.007\ MH^{+}$
$HA \rightleftharpoons H^{+} + A^{-}$
$\left\lbrack H^{+} \right\rbrack = \left\lbrack A^{-} \right\rbrack = 0.007\ M$
$HA = 0.018$
$\therefore K_{a} = \frac{(0.007)^{2}}{0.018} = 3 \times 10^{- 3}$
$pK_{a} = 2.5$

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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