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Arrhenius Acid

The concentra...

Question

The concentration at which degree of dissociation of a $0.02 M$ solution of $C H_{3} C O O H$ becomes double is: $(K_{a}$ of $C H_{3} C O O H = 1.8 \times 10^{- 5})$

0.1 M

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0.009 M

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0.4 M

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0.049 M

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Solution

The correct option is B $0.049 M$
Applying the Oswald dilution formula-
$K_{a} = α^{2}$
Now,
$K_{a} = C_{C} 1 (α^{2})$ (i)
$K_{a} = C_{2} (2 α)^{2}$ (ii)
$C_{2} = \frac{C_{1}}{4} = \frac{0.02}{4} = 0.05 \approx 0.049 M$

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