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Salt of Weak Acid and Strong Base

100 mL of 1.0...

Question

100 mL of 1.0 M solution of a monobasic acid $(p K_{a} = 5)$ is titrated against $C a (O H)_{2}$ solution. At equivalence point the pH of solution is ?

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4.5

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9.5

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Solution

The correct option is D
9.5

The $[A^{-}]$ of the salt $C a A_{2}$ fromed by the reaction between $C a (O H)_{2}$ and HA (monobasic acid). $[A^{-}] = 0.52 \times 2$ at equivalence point $[C a A_{2}] = 0.5 M$
$∴ p H = \frac{1}{2} [p K_{w} + p K_{a} + l o g C]$
$= \frac{1}{2} [4 + 5 + 0] = 9.5 (C = [A^{-}] = 0.1 M)$

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