What is the pH of a 0.555M solution of NaF?

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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**Question:**
What is the pH of a 0.555M solution of NaF?

**Explanation:**
This question requires determining the pH of a sodium fluoride (NaF) solution with a given molarity. NaF is a salt that completely dissociates in water to form sodium ions (Na⁺) and fluoride ions (F⁻).

**Steps to Solution:**
1. **Understand the Base Reaction:** NaF dissociates in water, allowing the fluoride ion (F⁻) to act as a weak base. The fluoride ion reacts with water to form hydrogen fluoride (HF) and hydroxide ions (OH⁻):

   \[ \text{F}^- + \text{H}_2\text{O} \rightarrow \text{HF} + \text{OH}^- \]

2. **Determine Kb:**
   We need the base dissociation constant (Kb) for F⁻, which is related to the acid dissociation constant (Ka) of HF:

   \[ K_{\text{a}}(\text{HF}) \times K_{\text{b}}(\text{F}^-) = K_{\text{w}} \]
   
   \( K_{\text{w}} \) is the ion-product constant of water (\(1.0 \times 10^{-14} \, \text{at 25°C}\)).
   
3. **Calculate Hydroxide Concentration:**
   Use the Kb value and the initial concentration of F⁻ to find OH⁻ concentration. Use the formula:

   \[ [OH^-] = \sqrt{K_{\text{b}} \times [F^-]} \]

4. **Convert to pH:**
   Calculate pOH from OH⁻ concentration:

   \[ \text{pOH} = -\log[OH^-] \]

   Then, convert to pH using:

   \[ \text{pH} = 14 - \text{pOH} \]

These calculations will provide the pH of the 0.555M NaF solution.
Transcribed Image Text:**Question:** What is the pH of a 0.555M solution of NaF? **Explanation:** This question requires determining the pH of a sodium fluoride (NaF) solution with a given molarity. NaF is a salt that completely dissociates in water to form sodium ions (Na⁺) and fluoride ions (F⁻). **Steps to Solution:** 1. **Understand the Base Reaction:** NaF dissociates in water, allowing the fluoride ion (F⁻) to act as a weak base. The fluoride ion reacts with water to form hydrogen fluoride (HF) and hydroxide ions (OH⁻): \[ \text{F}^- + \text{H}_2\text{O} \rightarrow \text{HF} + \text{OH}^- \] 2. **Determine Kb:** We need the base dissociation constant (Kb) for F⁻, which is related to the acid dissociation constant (Ka) of HF: \[ K_{\text{a}}(\text{HF}) \times K_{\text{b}}(\text{F}^-) = K_{\text{w}} \] \( K_{\text{w}} \) is the ion-product constant of water (\(1.0 \times 10^{-14} \, \text{at 25°C}\)). 3. **Calculate Hydroxide Concentration:** Use the Kb value and the initial concentration of F⁻ to find OH⁻ concentration. Use the formula: \[ [OH^-] = \sqrt{K_{\text{b}} \times [F^-]} \] 4. **Convert to pH:** Calculate pOH from OH⁻ concentration: \[ \text{pOH} = -\log[OH^-] \] Then, convert to pH using: \[ \text{pH} = 14 - \text{pOH} \] These calculations will provide the pH of the 0.555M NaF solution.
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