Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Buffer Solution pH Calculation**

**Problem Statement:**
Calculate the pH of 1.00 L of a buffer solution containing 0.120 M nitrous acid \((\text{HNO}_2)\) and 0.150 M sodium nitrite \((\text{NaNO}_2)\). Given that the \(pK_a\) of \(\text{HNO}_2\) is 3.40.

**Solution:**

1. **Components of the Buffer:**
   - **Weak acid:** Nitrous acid \((\text{HNO}_2)\)
   - **Conjugate base:** Sodium nitrite \((\text{NaNO}_2)\)

2. **Henderson-Hasselbalch Equation:**
   \[
   \text{pH} = pK_a + \log \left(\frac{[\text{Conjugate base}]}{[\text{Weak acid}]}\right)
   \]

3. **Substitute Values:**
   - \( pK_a = 3.40 \)
   - \([\text{HNO}_2] = 0.120 \, M\)
   - \([\text{NaNO}_2] = 0.150 \, M\)

4. **Calculations:**
   \[
   \text{pH} = 3.40 + \log \left(\frac{0.150}{0.120}\right)
   \]

5. **Interactive Component:**
   - Enter the calculated pH value in the blank provided.

**Graph/Diagram Explanation:**
None present in the image.

For further reference, use the "See Periodic Table" link provided to view element details as needed.
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Transcribed Image Text:**Buffer Solution pH Calculation** **Problem Statement:** Calculate the pH of 1.00 L of a buffer solution containing 0.120 M nitrous acid \((\text{HNO}_2)\) and 0.150 M sodium nitrite \((\text{NaNO}_2)\). Given that the \(pK_a\) of \(\text{HNO}_2\) is 3.40. **Solution:** 1. **Components of the Buffer:** - **Weak acid:** Nitrous acid \((\text{HNO}_2)\) - **Conjugate base:** Sodium nitrite \((\text{NaNO}_2)\) 2. **Henderson-Hasselbalch Equation:** \[ \text{pH} = pK_a + \log \left(\frac{[\text{Conjugate base}]}{[\text{Weak acid}]}\right) \] 3. **Substitute Values:** - \( pK_a = 3.40 \) - \([\text{HNO}_2] = 0.120 \, M\) - \([\text{NaNO}_2] = 0.150 \, M\) 4. **Calculations:** \[ \text{pH} = 3.40 + \log \left(\frac{0.150}{0.120}\right) \] 5. **Interactive Component:** - Enter the calculated pH value in the blank provided. **Graph/Diagram Explanation:** None present in the image. For further reference, use the "See Periodic Table" link provided to view element details as needed.
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