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Question

# The pH of a chemical solution is given by the formula $\mathrm{pH}=-\log _{10}\left[\mathrm{H}^{+}\right]$ where $[\mathrm{H}^{+}]$ is the concentration of hydrogen ions in moles per liter. Values of pH range from 0 (acidic) to 14 (alkaline). What is the pH of a solution for which $\left[\mathrm{H}^{+}\right]$ is 0.001?

Solution

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Substitute the given value of $[H^+]$ in the given $pH$ formula and solve for the value of $pH$.

\begin{aligned} pH &= -\log_{10} [0.001]\\ &= \boxed{3} \end{aligned}

Therefore, when $[H^+]$ is $0.001$, the $pH$ of the solution is $3$.

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