How much water (in ml) must be added to 300 mL of a 0.2 M solution of ${CH}_{3} COOH$ for the degree of dissociation of the acid to double? [Assume $k_{a}$ of acetic acid is of the order of $10^{- 5} M]$

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Detailed Solution

$C_{1} α_{1}^{2} = C_{2} α_{2}^{2} \Rightarrow C_{1} = 4 C_{2} C_{2} = \frac{C_{1}}{4} \begin{array}{l} \Rightarrow C_{1} \times 300 = \frac{C_{1}}{4} \times V \\ V = 1200 mL \end{array}$

Hence, 900 mL must be added.

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