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Chapter 20: Q40E (page 678)

Thioglycolic acid, HSCH鈧侰O鈧侶, a substance used in depilatory agents(hair removers) has pKa = 3.42. What is the percent dissociation ofthioglycolic acid in a buffer solution at pH = 3.0?

Short Answer

Expert verified

The dissociation percentage of thioglycolic acid is-27.55 %.

Step by step solution

01

Finding [A-] by representing HA and A-

Given that pH=3 and pK_a=3.42. On representing and substituting Henderson-Hasselbalch equation,

$\log \frac{[HA]}{[A^{-}]} = {pK}_{a} - pHorlog \frac{[A^{-}]}{[HA]} = pH - {pK}_{a} \log \frac{[A^{-}]}{[HA]} = 3 - 3.42 \log \frac{[A^{-}]}{[HA]} = 0.42 \frac{[A^{-}]}{[HA]} = antilog of - 0.42 \frac{[A^{-}]}{[HA]} = 0.38 [A^{-}] = 0.38 [HA] - - - (1)$

02

Finding percent dissociation of thioglycolic acid

There is a presence of both ionized thioglycolic acid at equilibrium and also un-ionized forms.

$[HA] + [A^{-}] = 100 % - - - (2) [HA] + 0.38 [HA] = 100 % 1.38 [HA] = 100 % [HA] = \frac{100}{1.38} [HA] = 27.55 %$

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