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Question

$$pK_{a}$$ of a weak acid $$(HA)$$ and $$pK_{b}$$ of a weak base $$(BOH)$$ are $$3.2$$ and $$3.4$$, respectively. The $$pH$$ of their salt $$(AB)$$ solution is :


A
6.9
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B
7.0
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C
1.0
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D
7.2
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Solution

The correct option is D $$6.9$$
We know,

$$\displaystyle pH = \dfrac {1}{2} (pK_w+pK_a -pK_b)$$
$$\displaystyle pH = \dfrac {1}{2} (14+3.2-3.4)$$
$$\displaystyle pH= \dfrac {1}{2}(13.8)$$
$$\displaystyle pH=6.9$$
Hence, the option (A) is the correct answer.

Chemistry

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