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
B
7.0
C
1.0
D
7.2

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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