How much water must be added to 300 ml of 0.2 M solution of CH3COOH for the degree of dissociation o

Question

How much water must be added to 300 ml of 0.2 M solution of CH3COOH for the degree of dissociation of the acid to double? The value of Ka for acetic acid = 1.8 × 10–5.

Accepted Answer

$\alpha_{1} = 2 	imes \alpha_{1} \Rightarrow \sqrt{\frac{K_{a}}{n} 	imes V_{1}} = 2 	imes \sqrt{\frac{K_{a}}{n} 	imes V_{1}}$$\Rightarrow V_{2} = 4 	imes V_{1} = 4 	imes 300 = 1200	ext{ ml} $$$	herefore V_{	ext{water added}} = 1200 - 300 = 900	ext{ ml}$$

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