QuestionAugust 6, 2025

Calculate the pH of a 1.0times 10^-8 M aqueous solution of hydrochloric acid (HCl). Round your answer to 2 decimal places. square

Calculate the pH of a 1.0times 10^-8 M aqueous solution of hydrochloric acid (HCl). Round your answer to 2 decimal places. square
Calculate the pH of a 1.0times 10^-8
M aqueous solution of hydrochloric acid (HCl).
Round your answer to 2 decimal places.
square

Solution
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Answer

6.96 Explanation 1. Determine Total Hydrogen Ion Concentration The concentration of hydrogen ions from water is \( 1.0 \times 10^{-7} \, \text{M} \). Add this to the \( 1.0 \times 10^{-8} \, \text{M} \) from HCl: \[ [\text{H}^+] = 1.0 \times 10^{-8} + 1.0 \times 10^{-7} = 1.1 \times 10^{-7} \, \text{M} \] 2. Calculate pH Use the formula **pH = -\log_{10}[\text{H}^+]**: \[ \text{pH} = -\log_{10}(1.1 \times 10^{-7}) \]

Explanation

1. Determine Total Hydrogen Ion Concentration<br /> The concentration of hydrogen ions from water is \( 1.0 \times 10^{-7} \, \text{M} \). Add this to the \( 1.0 \times 10^{-8} \, \text{M} \) from HCl: <br />\[ [\text{H}^+] = 1.0 \times 10^{-8} + 1.0 \times 10^{-7} = 1.1 \times 10^{-7} \, \text{M} \]<br /><br />2. Calculate pH<br /> Use the formula **pH = -\log_{10}[\text{H}^+]**:<br />\[ \text{pH} = -\log_{10}(1.1 \times 10^{-7}) \]
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