Question 11.10: Calculate [H3O^+] for a urine sample, which has a pH of 7.5.

Calculate [H_{3}O^{+}] for a urine sample, which has a pH of 7.5.

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STEP 1   State the given and needed quantities.

ANALYZE THE PROBLEM Given Need Connect
pH = 7.5 [H_{3}O^{+}] [H_{3}O^{+}] = 10^{-PH}

STEP 2  Enter the pH value into the inverse log equation and calculate.

[H_{3}O^{+}] = 10^{-PH} = 10^{-7.5} \overset{Calculator  Procedure}{\boxed{2^{nd}}  \boxed{\log}  \boxed{+/-}  7.5  \boxed{=}}    or    7.5  \boxed{+/-}  \boxed{2^{nd}}  \boxed{\log}   \boxed{=}                                           \overset{Calculator  Display}{\boxed{3.16227766E-08}}

STEP 3  Adjust the SFs for the coefficient. Because the pH value 7.5 has one digit to the right of the decimal point, the coefficient for [H_{3}O^{+}] is written with one SF.

\underset{One  SFs}{[H_{3}O^{+}] =3 \times 10^{-8}  M}

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