Calculate the pH of a solution if [H*] is measured to be 5.76 x10-9 M. Is this solution acidic or basic?

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Calculating pH of a Solution

**Problem Statement:**
Calculate the pH of a solution if \([H^+]\) is measured to be \(5.76 \times 10^{-9}\) M. Is this solution acidic or basic?

**Solution:**
1. **Calculate the pH:**
   To determine the pH of the solution, use the formula:
   \[
   \text{pH} = -\log[H^+]
   \]

   Given, \([H^+] = 5.76 \times 10^{-9}\) M:
   \[
   \text{pH} = -\log(5.76 \times 10^{-9})
   \]

   2. **Determine if the solution is acidic or basic:**
   - If pH < 7, the solution is acidic.
   - If pH = 7, the solution is neutral.
   - If pH > 7, the solution is basic.

3. **Calculate the exact value:**
   \[
   \text{pH} \approx -\log(5.76) + 9 = -0.76 + 9 = 8.24
   \]

**Conclusion:**
The pH of the solution is approximately 8.24, which means it is basic.
Transcribed Image Text:### Calculating pH of a Solution **Problem Statement:** Calculate the pH of a solution if \([H^+]\) is measured to be \(5.76 \times 10^{-9}\) M. Is this solution acidic or basic? **Solution:** 1. **Calculate the pH:** To determine the pH of the solution, use the formula: \[ \text{pH} = -\log[H^+] \] Given, \([H^+] = 5.76 \times 10^{-9}\) M: \[ \text{pH} = -\log(5.76 \times 10^{-9}) \] 2. **Determine if the solution is acidic or basic:** - If pH < 7, the solution is acidic. - If pH = 7, the solution is neutral. - If pH > 7, the solution is basic. 3. **Calculate the exact value:** \[ \text{pH} \approx -\log(5.76) + 9 = -0.76 + 9 = 8.24 \] **Conclusion:** The pH of the solution is approximately 8.24, which means it is basic.
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