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Q. The $pK _{ b }$ of dimethylamine and $pK _{ a }$ of acetic acid are $3.27$ and $4.77$ respectively at $T ( K )$. The correct option for the $pH$ of dimethylammonium acetate solution is :

NEETNEET 2021Equilibrium

Solution:

For a salt of weak acid and weak base $P^{H}$ does not depend on concentration of salt.
$ P ^{ H }=7+\frac{1}{2}\left[ P ^{ k _{ a }}- P ^{ K _{ b }}\right] $
$=7+\frac{1}{2}[4.77-3.27]=7.75$