Q56 / 200 · Manipal (MET) 2013 · Chemistry

Determine the pH of 0.024 M hydroxylamine hydrochloride solution. ( $K_b$ of hydroxyl amine is $10^{-8}$ ).

  • A
    $8.4$
  • B
    $6.2$
  • Correct answer
    C
    $3.8$
  • D
    $5.6$

Solution

$\mathrm{HONH}_3^{+}+\mathrm{H}_2 \mathrm{O} \rightleftharpoons \mathrm{HONH}_3 \mathrm{OH}+\mathrm{H}^{+}$ $\begin{aligned} K_h & =\frac{K_w}{k_b}=\frac{10^{-14}}{10^{-8}}=10^{-6} \\ {\left[H^{+}\right] } & =\sqrt{K_h C} \\ & =\sqrt{10^{-6} \times 0.024} \\ & =1.5 \times 10^{-4}\end{aligned}$ and $\mathrm{pH}=3.8$

Hence, the correct answer is option: 'C'.

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