What is the $\mathrm{pH}$ of $2 \times 10^{-3} \mathrm{M}$ solution of monoacidic weak base if it ionizes to…

What is the $\mathrm{pH}$ of $2 \times 10^{-3} \mathrm{M}$ solution of monoacidic weak base if it ionizes to the extent of $5 \%$
  1. 10
  2. 6
  3. 4
  4. 14

Solution

$\begin{aligned} & {\left[\mathrm{H}^{+}\right]=\alpha \mathrm{c}} \\ & \mathrm{C}=2 \times 10^{-3} \mathrm{M} \\ & \alpha=0.05 \\ & {\left[\mathrm{H}^{+}\right]=2 \times 10^{-3} \times 0.05} \\ & =1 \times 10^{-4} \mathrm{M} \\ & \mathrm{pH}=4\end{aligned}$

Asked in: MHT CET 2022 (10 Aug Shift 2)

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