Question 8.SP.7: Calculating [H3O^+] from pH Determine the [H3O^+] for soluti......

Calculating [H_{3}O^{+}] from pH 

Determine the [H_{3}O^{+}] for solutions having each of the following pH values:

a.  pH=3.0

b.  pH=8.2

Step-by-Step
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a. For pH values that are whole numbers, the [H_{3}O^{+}] can be written 1\times 10^{-pH}.

\begin{matrix} &pH\\&\searrow \\ [H_{3}O^{+}]=1\times &10^{-3}  M \end{matrix}

b. For pH values that are not whole numbers, the [H_{3}O^{+}] is calculated as follows:

Step 1 Enter the pH value and press the change sign key.

8.2    \boxed{+/-}                                                                 \overset{Calculator Display}{-8.2}

Step 2 Convert -pH to concentration. Press the 2nd function key and then the  10^{x}  key. Or press the inverse key and then the log key.

\boxed{2^{nd}}  \boxed{10^{x}}      or    \boxed{inv}  \boxed{log}          6.3095^{-09}      or    6.3095  E-09

Step 3 Adjust the significant figures in the coefficient. Because the pH value of 8.2 has one digit on the right of the decimal point, the [H_{3}O^{+}] is written with one significant figure.

[H_{3}O^{+}]=6 \times 10^{-9}  M

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