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Q. $Ka _1, Ka _2$ and $Ka _3$ are the respective ionization constants for the following reactions (a), (b) and (c).
(a) $H _2 C _2 O _4 \rightleftharpoons H ^{+}+ HC _2 O _4^{-}$
(b) $HC _2 O _4^{-} \rightleftharpoons H ^{+}+ HC _2 O _4^{2-}$
(c) $H _2 C _2 O _4 \rightleftharpoons 2 H ^{+}+ C _2 O _4^{2-}$
The relationship between $K _{ a _1}, K _{ a _2}$ and $K _{ a _3}$ is given as

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Solution:

$ H _2 C _2 O _4 \rightleftharpoons H ^{+}+ HC _2 O _4^{-} K _{ a _1} $
$ H _2 C _2 O _4^{-} \rightleftharpoons H ^{+}+ C _2 O _4^{2-} K _{ a _2} $
$ H _2 C _2 O _4 \rightleftharpoons 2 H ^{+}+ C _2 O _4^{2-} K _{ a _3}= K _{ a _1} \times K _{ a _2} $