Ionic EquilibriumHard

Question

How many moles of acetic acid should be added to 100 ml of 0.6 M formic acid solution such that the percentage dissociation of formic acid remains unchanged? The value of Ka for acetic acid = 1.8 × 10−5 and Ka for formic acid = 2.4 × 10−4.

Options

A.0.8
B.0.08
C.8.0
D.0.6

Solution

$\left\lbrack H^{+} \right\rbrack_{HCOOH} = \left\lbrack H^{+} \right\rbrack_{CH_{3}COOH}$

Or, $\sqrt{2.4 \times 10^{- 4} \times 0.6} = \sqrt{1.8 \times 10^{- 5} \times C} \Rightarrow C = 8\text{ M}$

∴ Moles of CH3COOH added = $\frac{100 \times 8}{1000} = 0.8$

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