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Question 8.5: Water Equation The [OH^-] of an aqueous solution is 1.0 * 10...

Water Equation The \left[ OH ^{-}\right] of an aqueous solution is 1.0 \times 10^{-4} M . \text { What is its }\left[ H _{3} O ^{+}\right]?

Strategy

To determine the hydrogen ion concentration when you know the hydroxide ion concentration, you simply divide the \left[ OH ^{-}\right] \text {into } 10^{-14}.

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We substitute into the equation:

 

\begin{aligned}{\left[ H _{3} O ^{+}\right]\left[ OH ^{-}\right] } &=1.0 \times 10^{-14} \\{\left[ H _{3} O ^{+}\right] } &=\frac{1.0 \times 10^{-14}}{1.0 \times 10^{-4}}=1.0 \times 10^{-10} M\end{aligned}

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