MCQ
Dissociation constant for a monobasic acid is $10^{-4}$ . What is the $pH$ of the monobasic acid ? (If $\%$ dissociation $= 2\,\%$ )
  • A
    $3.2$
  • B
    $2$
  • $2.3$
  • D
    $5$

Answer

Correct option: C.
$2.3$
c
$\mathrm{K}_{\mathrm{a}}=10^{-4}=\mathrm{C}_{0} \alpha^{2} \quad \% \alpha=2 \%$

$\alpha=\frac{2}{100}=0.02$

$\because C_{0}=\frac{K_{a}}{\alpha^{2}}=\frac{10^{-4}}{0.02 \times 0.02}=\frac{1}{4}$

$\left[\mathrm{H}^{+}\right]=\mathrm{C}_{\mathrm{o}} \alpha$

$=\frac{1}{4} \times 0.02=0.005 \Rightarrow 5 \times 10^{-3}$

$\mathrm{pH}=-\log \left[\mathrm{H}^{+}\right]$

$=-\log \left[5 \times 10^{-3}\right]$

$=-[\log 5-3 \log 10]$

$=2.3$

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