Determine the pH of each of the following solutions.

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
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**Determine the \( pH \) of each of the following solutions.**

This instruction prompts students to calculate the pH for a set of given solutions. The pH is a scale used to specify the acidity or basicity of an aqueous solution. Solutions with a pH less than 7 are acidic, while those with a pH greater than 7 are basic (alkaline); a pH of 7 is neutral. To determine the pH, students may need to apply knowledge of logarithmic calculations and possibly the use of pH formulas or concepts, such as the concentration of hydrogen ions in a solution. 

There are no graphs or diagrams accompanying the text.
Transcribed Image Text:**Determine the \( pH \) of each of the following solutions.** This instruction prompts students to calculate the pH for a set of given solutions. The pH is a scale used to specify the acidity or basicity of an aqueous solution. Solutions with a pH less than 7 are acidic, while those with a pH greater than 7 are basic (alkaline); a pH of 7 is neutral. To determine the pH, students may need to apply knowledge of logarithmic calculations and possibly the use of pH formulas or concepts, such as the concentration of hydrogen ions in a solution. There are no graphs or diagrams accompanying the text.
### Calculating the pH of a 0.18 M NH₄Cl Solution

**Problem Statement:**  
Determine the pH of a 0.18 M solution of NH₄Cl. Express your answer to two decimal places.

**Solution Input Box:**  
A field is provided for inputting the calculated pH value. Tools for editing mathematical symbols and expressions are available, such as a square root symbol and a sigma for summation. Arrows allow undo and redo of actions, along with a help button represented by a question mark for additional assistance.

---

### Explanation:

**Key Concepts:**

1. **Ammonium Chloride (NH₄Cl):** 
   - NH₄Cl is a salt formed from the reaction of a strong acid (HCl) and a weak base (NH₃). When dissolved in water, it dissociates into NH₄⁺ and Cl⁻ ions.
   
2. **Hydrolysis of NH₄⁺:**
   - The NH₄⁺ ion undergoes hydrolysis to produce H⁺ ions, which affect the pH of the solution.

3. **Calculating pH:**
   - Use the equation for hydrolysis and the Kb for NH₃ to find the concentration of H⁺ ions, then apply the formula:
     \[
     pH = -\log[H⁺]
     \]

**Steps to Solve:**

1. Write the hydrolysis equation for NH₄⁺.
2. Calculate the equilibrium concentrations using the initial concentration (0.18 M) and the Kb or Ka.
3. Solve for the H⁺ concentration.
4. Calculate the pH, ensuring the answer is to two decimal places.

For educational purposes, use these steps to practice calculating the pH for different concentrations of NH₄Cl and understand the effects of weak bases and their conjugate acids in solutions.
Transcribed Image Text:### Calculating the pH of a 0.18 M NH₄Cl Solution **Problem Statement:** Determine the pH of a 0.18 M solution of NH₄Cl. Express your answer to two decimal places. **Solution Input Box:** A field is provided for inputting the calculated pH value. Tools for editing mathematical symbols and expressions are available, such as a square root symbol and a sigma for summation. Arrows allow undo and redo of actions, along with a help button represented by a question mark for additional assistance. --- ### Explanation: **Key Concepts:** 1. **Ammonium Chloride (NH₄Cl):** - NH₄Cl is a salt formed from the reaction of a strong acid (HCl) and a weak base (NH₃). When dissolved in water, it dissociates into NH₄⁺ and Cl⁻ ions. 2. **Hydrolysis of NH₄⁺:** - The NH₄⁺ ion undergoes hydrolysis to produce H⁺ ions, which affect the pH of the solution. 3. **Calculating pH:** - Use the equation for hydrolysis and the Kb for NH₃ to find the concentration of H⁺ ions, then apply the formula: \[ pH = -\log[H⁺] \] **Steps to Solve:** 1. Write the hydrolysis equation for NH₄⁺. 2. Calculate the equilibrium concentrations using the initial concentration (0.18 M) and the Kb or Ka. 3. Solve for the H⁺ concentration. 4. Calculate the pH, ensuring the answer is to two decimal places. For educational purposes, use these steps to practice calculating the pH for different concentrations of NH₄Cl and understand the effects of weak bases and their conjugate acids in solutions.
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