Ionic EquilibriumHard

Question

The dissociation constants of formic and acetic acids are 1.77 × 10−4 and 1.75 × 10−5, respectively. Which of the following statement is correct?

Options

A.Formic acid is 3.18 times stronger than acetic acid at equal concentration.
B.Acetic acid is 3.18 times stronger than formic acid at equal concentrations.
C.Formic acid is 10.11 times stronger than acetic acid at equal concentrations.
D.Formic acid is 10.11 times stronger than acetic acid at different concentrations.

Solution

$\frac{\left\lbrack H^{+} \right\rbrack_{HCOOH}}{\left\lbrack H^{+} \right\rbrack_{CH_{3}COOH}} = \frac{\left( \sqrt{K_{a}.C} \right)_{HCOOH}}{\left( \sqrt{K_{a}.C} \right)_{CH_{3}COOH}} = \sqrt{\frac{1.77 \times 10^{- 4}}{1.75 \times 10^{- 5}}} = 3.18$

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