What is the pH of a solution that contains 0.10 M cyanic acid and 0.20 M sodium cyanate?

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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**Problem Statement:**

*What is the pH of a solution that contains 0.10 M cyanic acid and 0.20 M sodium cyanate?*

**Solution:**

To find the pH of a buffer solution containing cyanic acid and sodium cyanate, we use the Henderson-Hasselbalch equation:

\[ \text{pH} = \text{pKa} + \log \left(\frac{[\text{A}^-]}{[\text{HA}]}\right) \]

Where:  
- \([\text{A}^-]\) is the concentration of the conjugate base (sodium cyanate, NaOCN)
- \([\text{HA}]\) is the concentration of the weak acid (cyanic acid, HOCN)

Given:  
- \([\text{HA}] = 0.10 \, \text{M}\)
- \([\text{A}^-] = 0.20 \, \text{M}\)

Assume the \(\text{pKa}\) of cyanic acid is known (usually can be found in a table). Substituting these values into the equation will give the pH of the solution.
Transcribed Image Text:**Problem Statement:** *What is the pH of a solution that contains 0.10 M cyanic acid and 0.20 M sodium cyanate?* **Solution:** To find the pH of a buffer solution containing cyanic acid and sodium cyanate, we use the Henderson-Hasselbalch equation: \[ \text{pH} = \text{pKa} + \log \left(\frac{[\text{A}^-]}{[\text{HA}]}\right) \] Where: - \([\text{A}^-]\) is the concentration of the conjugate base (sodium cyanate, NaOCN) - \([\text{HA}]\) is the concentration of the weak acid (cyanic acid, HOCN) Given: - \([\text{HA}] = 0.10 \, \text{M}\) - \([\text{A}^-] = 0.20 \, \text{M}\) Assume the \(\text{pKa}\) of cyanic acid is known (usually can be found in a table). Substituting these values into the equation will give the pH of the solution.
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