Solution:
11 drops HCOOH neutalizes with 10 drops of 0.12 M NaOH
Thus,
11 drops x [HCOOH] = 10 drops x [NaOH]
11 x [HCOOH] = 10 x 0.12 M
[HCOOH] = 10 x 0.12 M / 11 = 0.109 M
Formic acid is a weak acid, it is dissociated as:
HCOOH + H2O = HCOO- + H3O+
0.109 --------------------0-------------0 (initial concentrations)
(0.109 - X)--------------X---------------X (final cocentration)
Ka = X . X / 0.109 - X
X can be neglected from denominator in comparison to 0.109 because HCOOH is a weak acid. Then,
Ka = X^2 / 0.109
X^2 = 0.109 Ka = 0.109 x 1.78 x 10^-4
X^2 = 19.4 x 10^-6
X = 4.40 x 10^-3 = 0.0044
Thus, % ionization = ( 0.0044 / 0.109 ) x 100 = 4.0 %
Hence, option A.
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