1. What is the pH for HCl = 1.0 x 10-8M?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Question:**

1. What is the pH for HCl = 1.0 x 10⁻⁸ M?

**Explanation:**

To calculate the pH of a dilute solution of HCl with a concentration of 1.0 x 10⁻⁸ M, it's important to note that the contribution of H⁺ ions from the ionization of water becomes significant compared to the H⁺ ions from the HCl. 

**Steps to calculate:**

1. **Ionization of Water:** Water ionizes slightly to produce H⁺ and OH⁻ ions. At 25°C, the concentration of H⁺ ions from water is approximately 1.0 x 10⁻⁷ M.

2. **Total H⁺ Concentration:** Add the H⁺ ions from both the water and the HCl:
   - [H⁺] = [H⁺ from water] + [H⁺ from HCl]
   - [H⁺] = 1.0 x 10⁻⁷ + 1.0 x 10⁻⁸

3. **Calculate pH:**
   - [H⁺] = 1.1 x 10⁻⁷ M
   - pH = -log(1.1 x 10⁻⁷)

4. The pH is slightly less than 7, considering the additional protons from the HCl.

**Conclusion:**

In very dilute acidic solutions, contributions from the self-ionization of water cannot be ignored. Always consider this factor to obtain an accurate pH value for such dilutions.
Transcribed Image Text:**Question:** 1. What is the pH for HCl = 1.0 x 10⁻⁸ M? **Explanation:** To calculate the pH of a dilute solution of HCl with a concentration of 1.0 x 10⁻⁸ M, it's important to note that the contribution of H⁺ ions from the ionization of water becomes significant compared to the H⁺ ions from the HCl. **Steps to calculate:** 1. **Ionization of Water:** Water ionizes slightly to produce H⁺ and OH⁻ ions. At 25°C, the concentration of H⁺ ions from water is approximately 1.0 x 10⁻⁷ M. 2. **Total H⁺ Concentration:** Add the H⁺ ions from both the water and the HCl: - [H⁺] = [H⁺ from water] + [H⁺ from HCl] - [H⁺] = 1.0 x 10⁻⁷ + 1.0 x 10⁻⁸ 3. **Calculate pH:** - [H⁺] = 1.1 x 10⁻⁷ M - pH = -log(1.1 x 10⁻⁷) 4. The pH is slightly less than 7, considering the additional protons from the HCl. **Conclusion:** In very dilute acidic solutions, contributions from the self-ionization of water cannot be ignored. Always consider this factor to obtain an accurate pH value for such dilutions.
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