Discussion
If an aqueous solution has a hydrogen ion concentration of \(10^{-3}\) M, what is the concentration of hydroxyl ion ?
Answer: C
The hydroxyl ion concentration is \(10^{-11}\) M.
In water at 25°C the ionic product is constant:
\[ \begin{aligned} [\mathrm{H^{+}}][\mathrm{OH^{-}}] &= 10^{-14} \\ [\mathrm{OH^{-}}] &= \frac{10^{-14}}{10^{-3}} = 10^{-11}\ \text{M} \end{aligned} \]
Equivalently, pH 3 means pOH \(14 - 3 = 11\). \(10^{-14}\) M is the ionic product itself, not a concentration; \(10^{-10}\) and \(10^{-12}\) M come from subtracting the exponents wrongly by one.
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