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  4. The pKa of a weak acid is 5.85. The concentrations of the acid and its conjugate base are equal at a pH of

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Q. The $pK_a$ of a weak acid is $5.85$. The concentrations of the acid and its conjugate base are equal at a $pH$ of

KVPYKVPY 2012

Solution:

Given, $p K_{a}$ of a weak acid $=5.85$
Given, [salt] = [acid]
According to Derson's-Hassel Balch equation,
$pH = p K_{ a }+\log \frac{[\text { salt }]}{[\text { acid }]}$
$pH =5.85+\log 1$
$pH =5.85$