Chemical EquilibriumHard

Question

Find the concentration of manomeric dichloroacetic acid in a CCl4 solution which contains 0.0129 g of the acid in 100 ml of solution. The dissociation constant of the dimeric acid is 5.0 × 10−4. Assume that the acids are unionized in CCl4 solution.

Options

A.5.0 × 10–4 M
B.2.5 × 10–4 M
C.1.0 × 10–3 M
D.3.9 × 10–4 M

Solution

(Cl2CHCOOH)2 $\rightleftharpoons$ 2Cl2CHOOH

Initial Conc. $\frac{0.0129/258}{100/1000}$ 0

Equ. Conc. 5 × 10–4 – x 2x

Now, $K_{eq} = 5 \times 10^{- 4} = \frac{(2x)^{2}}{\left( 5 \times 10^{- 4} - x \right)} \Rightarrow x = 1.95 \times 10^{- 4}$

∴ [Cl2CHOOH] = 3.90 × 10–4 M

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