Fill in the blanks to show how you would solve for the pH of a 0.10 M aqueous solution of the weak acid HA. For the table and the equilibrium expression, do not ignore x. 0.10 Initial POH 0.10-x Concentration (M) Change 2x² 0.10 - 2x 4x² HA(aq) X + (0.10 - x)² (0.10-2x)² 2x H₂O(1) 0 4x A¯(aq) x² 0.10- x² + + pH 0.10 + x H3O*(aq)

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### Solving for the pH of a 0.10 M Aqueous Solution of the Weak Acid HA

#### Instructions:

Fill in the blanks to show how you would solve for the pH of a 0.10 M aqueous solution of the weak acid HA. For the table and the equilibrium expression, do not ignore x.

#### Provided Options:
- 0.10
- 0.10 - x
- 0.10 - 2x
- x
- 2x
- 0
- x²
- pH
- pOH
- 2x²
- 4x²
- (0.10 - x)²
- 4x
- 0.10 - x²
- 0.10 + x

#### ICE Table for the Reaction \( \text{HA}(\text{aq}) + \text{H}_2\text{O}(\ell) \rightleftharpoons \text{A}^-(\text{aq}) + \text{H}_3\text{O}^+(\text{aq}) \) 

| Concentration (M) | HA(aq) | + H2O(l) | ↔ | A<sup>-</sup>(aq) | + H3O<sup>+</sup>(aq) |
|--------------------|--------|----------|---|-------------------|---------------------|
| **Initial** | 0.10 | - | - | 0 | 0 |
| **Change** | - x | - | - | + x | + x |
| **Equilibrium** | 0.10 - x | - | - | x | x |

At equilibrium, the concentrations of the ions/products and reactants are as follows:
- HA: \( 0.10 - x \) M
- \( \text{A}^- \): \( x \) M
- \( \text{H}_3\text{O}^+ \): \( x \) M

#### Equilibrium Expression:
\[ K_a = \frac{[\text{A}^-][\text{H}_3\text{O}^+]}{[\text{HA}]} \]
Using the concentrations from the equilibrium row, we get:
\[ K_a = \frac{x \cdot x}{0.10 - x} = \frac
Transcribed Image Text:### Solving for the pH of a 0.10 M Aqueous Solution of the Weak Acid HA #### Instructions: Fill in the blanks to show how you would solve for the pH of a 0.10 M aqueous solution of the weak acid HA. For the table and the equilibrium expression, do not ignore x. #### Provided Options: - 0.10 - 0.10 - x - 0.10 - 2x - x - 2x - 0 - x² - pH - pOH - 2x² - 4x² - (0.10 - x)² - 4x - 0.10 - x² - 0.10 + x #### ICE Table for the Reaction \( \text{HA}(\text{aq}) + \text{H}_2\text{O}(\ell) \rightleftharpoons \text{A}^-(\text{aq}) + \text{H}_3\text{O}^+(\text{aq}) \) | Concentration (M) | HA(aq) | + H2O(l) | ↔ | A<sup>-</sup>(aq) | + H3O<sup>+</sup>(aq) | |--------------------|--------|----------|---|-------------------|---------------------| | **Initial** | 0.10 | - | - | 0 | 0 | | **Change** | - x | - | - | + x | + x | | **Equilibrium** | 0.10 - x | - | - | x | x | At equilibrium, the concentrations of the ions/products and reactants are as follows: - HA: \( 0.10 - x \) M - \( \text{A}^- \): \( x \) M - \( \text{H}_3\text{O}^+ \): \( x \) M #### Equilibrium Expression: \[ K_a = \frac{[\text{A}^-][\text{H}_3\text{O}^+]}{[\text{HA}]} \] Using the concentrations from the equilibrium row, we get: \[ K_a = \frac{x \cdot x}{0.10 - x} = \frac
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