The $\left[\mathrm{OH}^{-}\right]$in a solution is $1 \times 10^{-12} \mathrm{~mol} \mathrm{dm}^{-3}$. What…

The $\left[\mathrm{OH}^{-}\right]$in a solution is $1 \times 10^{-12} \mathrm{~mol} \mathrm{dm}^{-3}$. What is the concentration of $\mathrm{H}^{+}$ions?
  1. $0.1 \mathrm{~mol} \mathrm{dm}^{-1}$
  2. $1.0 \mathrm{~mol} \mathrm{dm}^{-1}$
  3. $2.0 \mathrm{~mol} \mathrm{dm}^{-1}$
  4. $0.01 \mathrm{~mol} \mathrm{dm}^{-1}$

Solution

In an aqueous solution $\begin{aligned} & {\left[\mathrm{H}^{+}\right] \times\left[\mathrm{OH}^{-}\right]=10^{-14}} \\ & {\left[\mathrm{H}^{+}\right]=\frac{10^{-14}}{\left[\mathrm{OH}^{-}\right]}} \\ & =\frac{10^{-14}}{1 \times 10^{-12}}=10^{-2} \text { or } 0.01 \mathrm{~mol} \mathrm{dm}^{-3} \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 2)

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