Fill in the blanks to show how you would solve for the pH of a 0.10 M aqueous solution of the weak base B. For the table and the equilibrium expression, do not ignore x. 0.10 POH Initial Concentration (M) Change 0.10-x Equilibrium 2x² 0.10 - 2x 4x² B(aq) X (0.10 - x)² + 2x (0.10 - 2x)² H₂O(l) H + 0 4x HB*(aq) x² 0.10- x² + pH 0.10 + x OH(aq)

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### Solving the pH of a 0.10 M Aqueous Solution of a Weak Base B

To determine the pH of a 0.10 M aqueous solution of the weak base B, follow these steps and fill in the blanks in the table and equilibrium expression without ignoring \( x \).

#### Equilibrium Expression

- **B(aq)**: The concentration of the weak base in aqueous solution.
- **H₂O(l)**: Water, the solvent, playing its usual role in dissociation.
- **HB⁺(aq)**: The conjugate acid of the weak base after gaining a proton.
- **OH⁻(aq)**: Hydroxide ion, indicating the basic nature of the solution.

### Table of Concentrations (M)

Below is the general table format to be filled out, showing the relationships between initial concentrations, changes, and equilibrium concentrations.

|         | B(aq)      | + | H₂O(l) | ⇌ | HB⁺(aq) | + | OH⁻(aq) |
|---------|------------|---|--------|---|---------|---|----------|
| **Initial**    | [Blank 1] |   |        |   | [Blank 2] |   | [Blank 3] |
| **Change**  | [Blank 4] |   |        |   | [Blank 5] |   | [Blank 6] |
| **Equilibrium** | [Blank 7] |   |        |   | [Blank 8] |   | [Blank 9] |

### Equilibrium Constant Expression

\[ K_b = \frac{[HB^+][OH^-]}{[B]} \]

\[ pH = - \log [ x ] \]

### Explanation of the Blanks 

- Fill in the blank values using the principles of chemical equilibrium where initial concentrations decrease or increase by a factor denoted as \( x \).

### Instructions for Filling the Table

1. **Identify initial concentrations:**
   - Initial concentration of \( B \): 0.10 M (Blank 1).
   - \( H₂O \) is not normally included in the expression as its concentration is large and constant (thus not provided).
   - Initial concentrations of \( HB^+ \) and \( OH^- \) are zero before dissociation starts (Blank 2 and Blank 3).

2.
Transcribed Image Text:### Solving the pH of a 0.10 M Aqueous Solution of a Weak Base B To determine the pH of a 0.10 M aqueous solution of the weak base B, follow these steps and fill in the blanks in the table and equilibrium expression without ignoring \( x \). #### Equilibrium Expression - **B(aq)**: The concentration of the weak base in aqueous solution. - **H₂O(l)**: Water, the solvent, playing its usual role in dissociation. - **HB⁺(aq)**: The conjugate acid of the weak base after gaining a proton. - **OH⁻(aq)**: Hydroxide ion, indicating the basic nature of the solution. ### Table of Concentrations (M) Below is the general table format to be filled out, showing the relationships between initial concentrations, changes, and equilibrium concentrations. | | B(aq) | + | H₂O(l) | ⇌ | HB⁺(aq) | + | OH⁻(aq) | |---------|------------|---|--------|---|---------|---|----------| | **Initial** | [Blank 1] | | | | [Blank 2] | | [Blank 3] | | **Change** | [Blank 4] | | | | [Blank 5] | | [Blank 6] | | **Equilibrium** | [Blank 7] | | | | [Blank 8] | | [Blank 9] | ### Equilibrium Constant Expression \[ K_b = \frac{[HB^+][OH^-]}{[B]} \] \[ pH = - \log [ x ] \] ### Explanation of the Blanks - Fill in the blank values using the principles of chemical equilibrium where initial concentrations decrease or increase by a factor denoted as \( x \). ### Instructions for Filling the Table 1. **Identify initial concentrations:** - Initial concentration of \( B \): 0.10 M (Blank 1). - \( H₂O \) is not normally included in the expression as its concentration is large and constant (thus not provided). - Initial concentrations of \( HB^+ \) and \( OH^- \) are zero before dissociation starts (Blank 2 and Blank 3). 2.
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