Discussion
The concentration of hydrogen ions in a hydrochloric acid solution is 3 x 10-3 M. Its pH value is about( log3 = 0.4771)
Answer: B
The pH is about 2.52.
\[ \begin{aligned} \mathrm{pH} &= -\log(3 \times 10^{-3}) \\ &= 3 - \log 3 = 3 - 0.4771 \\ &= 2.5229 \approx 2.52 \end{aligned} \]
3.47 comes from adding \(\log 3\) instead of subtracting it, and 2.32 or 2.47 from rounding slips. A solution with \([\mathrm{H^+}]\) between \(10^{-3}\) and \(10^{-2}\) M must have pH between 2 and 3, which rules out 3.47 and 5.52 at once.
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