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Question

The first and second dissociation constants of an acid H$$_{2}$$A are 1.0 x 10$$^{-5}$$ & 5.0 x 10$$^{-10}$$ respectively. The overall dissociation constant of the acid will be:


A
5.0 x 105
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B
5.0 x 1015
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C
5.0 x 1015
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D
0.2 x 105
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Solution

The correct option is C 5.0 x 10$$^{-15}$$
The overall dissociation constant is equal to the product of first and second dissociation constant. It is $$\displaystyle K_a = K_{a1} \times K_{a2} = 1.0 \times 10^{-5} \times 5.0 \times 10^{-10} = 5.0 \times 10^{-15}$$

Chemistry

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