INSTRUCTION: From the words lettered A-D choose the appropriate answer
The \(\mathrm{pOH}\) of a solution is \(12.23\); calculate the hydrogen ion concentration of the solution ____________
A. \(1.52 \times 10^{-2}\)
B. \(1.69 \times 10^{-2}\)
C. \(1.74 \times 10^{-2}\)
D. \(1.87 \times 10^{-2}\)
Correct Answer: B
Explanation
\begin{array}{l}
\mathrm{pH}=\mathrm{pOH}=14 \\
\begin{array}{l}
\mathrm{pH}=14-\mathrm{pOH} \\
=14-12.23=1.77
\end{array} \\
\mathrm{pH}=-\log _{10}\left[\mathrm{H}^{+}\right] \\77=-\log 10\left[\mathrm{H}^{+}\right] \\
\log _{10}\left[\mathrm{H}^{+}\right]=-1.77 \\
{\left[\mathrm{H}^{+}\right]=\text {antilog }(-1.77)} \\
=1.698 \times 10^{-2} \text { moldm }^{-3}
\end{array}