A 0.1000 M solution of a weak acid, HA, is 3.0% dissociated. Determine the value of Ka for the weak acid. 1 2 NEXT > Based on the given values, fill in the ICE table to determine concentrations of all reactants and products. НА(ag) H:O(1) H:O*(aq) А (аq) + Initial (M) Change (M) Equilibrium (M) 5 RESET 0.1000 3.0 -3.0 0.030 -0.030 0.0030 -0.0030 0.0970 -0.0970 0.0097 -0.0097

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### Determining the Ka of a Weak Acid

#### Problem Statement:
A 0.1000 M solution of a weak acid, HA, is 3.0% dissociated. Determine the value of Ka for the weak acid.

#### Instructions:
Based on the given values, fill in the ICE (Initial, Change, Equilibrium) table to determine the concentrations of all reactants and products.

#### Reaction:
\[ \text{HA(aq)} + \text{H}_2\text{O(l)} \rightleftharpoons \text{H}_3\text{O}^+(\text{aq}) + \text{A}^-(\text{aq}) \]

#### ICE Table:

|                | HA(aq) | + | H₂O(l) | ⇌ | H₃O⁺(aq)  | + | A⁻(aq)   |
|----------------|--------|---|--------|---|-----------|---|----------|
| **Initial (M)**     |          |   |          |   |             |   |            |
| **Change (M)**     |          |   |          |   |             |   |            |
| **Equilibrium (M)**|          |   |          |   |             |   |            |

#### Values:
Select from the following values to fill in the table:

- -0.0030
- 0.0970
- -0.0970
- 0.0097
- -0.0097
- 0.1000
- 3.0
- -3.0
- 0.030
- -0.030
- 0.0030

To reset your values, click the RESET button.

**Note:** The values will help in calculating the equilibrium concentrations, which can further be used to find the \( K_a \) of the weak acid.
Transcribed Image Text:### Determining the Ka of a Weak Acid #### Problem Statement: A 0.1000 M solution of a weak acid, HA, is 3.0% dissociated. Determine the value of Ka for the weak acid. #### Instructions: Based on the given values, fill in the ICE (Initial, Change, Equilibrium) table to determine the concentrations of all reactants and products. #### Reaction: \[ \text{HA(aq)} + \text{H}_2\text{O(l)} \rightleftharpoons \text{H}_3\text{O}^+(\text{aq}) + \text{A}^-(\text{aq}) \] #### ICE Table: | | HA(aq) | + | H₂O(l) | ⇌ | H₃O⁺(aq) | + | A⁻(aq) | |----------------|--------|---|--------|---|-----------|---|----------| | **Initial (M)** | | | | | | | | | **Change (M)** | | | | | | | | | **Equilibrium (M)**| | | | | | | | #### Values: Select from the following values to fill in the table: - -0.0030 - 0.0970 - -0.0970 - 0.0097 - -0.0097 - 0.1000 - 3.0 - -3.0 - 0.030 - -0.030 - 0.0030 To reset your values, click the RESET button. **Note:** The values will help in calculating the equilibrium concentrations, which can further be used to find the \( K_a \) of the weak acid.
### Determining the \( K_a \) of a Weak Acid

#### Problem Statement:
A 0.1000 M solution of a weak acid, HA, is 3.0% dissociated. Determine the value of \( K_a \) for the weak acid.

#### Instructions:
Based on your ICE table and definition of \( K_a \), set up the expression for \( K_a \) and then evaluate it. Do not combine or simplify terms.

#### Expression for \( K_a \):
- \( K_a = \dfrac{[H^+][A^-]}{[HA]} \)

#### Available Values:
For constructing the ICE table and calculating \( K_a \), the provided options include:
- Concentration values: [0], [0.1000], [3.0], [0.030], [0.0030], [0.0970], [0.0097], [0.48]
- Calculated values: [2.5], 0.31, \( 9.3 \times 10^{-4} \), \( 1.1 \times 10^{3} \), 3.2, \( 9.3 \times 10^{-5} \)

#### Steps:
1. **Initial Concentration (I):** \( [HA] = 0.1000 \, \text{M} \)
2. **Change in Concentration (C):** Based on 3.0% dissociation, calculate concentration changes.
3. **Equilibrium Concentration (E):** Calculate the equilibrium concentrations for [HA], [H⁺], and [A⁻] using the initial concentration and the percentage dissociation.
4. **Evaluate \( K_a \):** Use the equilibrium concentrations to set up and calculate the expression for \( K_a \).

#### Reset Button:
Selecting RESET will clear existing selections and calculations, allowing you to start over.
Transcribed Image Text:### Determining the \( K_a \) of a Weak Acid #### Problem Statement: A 0.1000 M solution of a weak acid, HA, is 3.0% dissociated. Determine the value of \( K_a \) for the weak acid. #### Instructions: Based on your ICE table and definition of \( K_a \), set up the expression for \( K_a \) and then evaluate it. Do not combine or simplify terms. #### Expression for \( K_a \): - \( K_a = \dfrac{[H^+][A^-]}{[HA]} \) #### Available Values: For constructing the ICE table and calculating \( K_a \), the provided options include: - Concentration values: [0], [0.1000], [3.0], [0.030], [0.0030], [0.0970], [0.0097], [0.48] - Calculated values: [2.5], 0.31, \( 9.3 \times 10^{-4} \), \( 1.1 \times 10^{3} \), 3.2, \( 9.3 \times 10^{-5} \) #### Steps: 1. **Initial Concentration (I):** \( [HA] = 0.1000 \, \text{M} \) 2. **Change in Concentration (C):** Based on 3.0% dissociation, calculate concentration changes. 3. **Equilibrium Concentration (E):** Calculate the equilibrium concentrations for [HA], [H⁺], and [A⁻] using the initial concentration and the percentage dissociation. 4. **Evaluate \( K_a \):** Use the equilibrium concentrations to set up and calculate the expression for \( K_a \). #### Reset Button: Selecting RESET will clear existing selections and calculations, allowing you to start over.
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