MCQ
The $\mathrm{p} \mathrm{K}_{\mathrm{b}}$ of dimethylamine and $\mathrm{pK}_{\mathrm{a}}$ of acetic acid are $3.27$ and $4.77$ respectively at $\mathrm{T}(\mathrm{K})$. The correct option for the $pH$ of dimethylammonium acetate solution is :
  • A
    $8.50$
  • B
    $5.50$
  • $7.75$
  • D
    $6.25$

Answer

Correct option: C.
$7.75$
c
$WA$ $+$ $WB$

$p H=7+\frac{1}{2} P^{k a}-\frac{1}{2} P^{K b}$

$p H=7+\frac{1}{2} \times 4.77-\frac{1}{2} \times 3.27$

$p H=7 \times \frac{1}{2} \times 1.5$

$p H=7.75$

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