The concentration at which degree of dissociation of a 0.2 M solution of CH3COOH becomes double is (Ka of CH3COOH = 1.8 × 10–5)
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Applying the Oswald dilution formula-
Ka=α2
Now,
Ka=CC1(α2) (i)
Ka=C2(2α)2 (ii)
C2=4C1=40.02=0.05≈0.049M
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