Determine the pH of a buffer formed by dissolving 21.5 g HC-HsO2 and 37.7 g of NaC-H:O2 in 200.0 mL of solution. The value of Ka for HC-H:O2 is 6.3 x 10-5. 2 3 NEXT > Based on the given values, set up ICE table in order to determine the unknown. НС-Н.О-(аq) + H:O(I) H:O“(aq) + C-HsO: (aq) Initial (M) Change (M) Equilibrium (M) 5 RESET 21.5 37.7 0.176 0.261 0.880 1.31 0.178 0.888 -- 21.5 - x 37.7 +x 0.176 - x 0.261 +x 0.880 - x 1.31 + x 0.178 +x 0.888 + x

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The image depicts a step-by-step approach to determine the pH of a buffer solution. Here's a transcription and explanation of the ICE table setup:

**Title:** Determine the pH of a buffer.

**Introduction:**
A buffer is prepared by dissolving 21.5 g of HC₇H₅O₂ and 37.7 g of NaC₇H₅O₂ in 200.0 mL of solution. The value of Ka for HC₇H₅O₂ is 6.3 × 10⁻⁵.

**Instructions:**
Based on the given values, set up an ICE (Initial, Change, Equilibrium) table in order to determine the unknown.

**ICE Table:**

The reaction is as follows:
\[ \text{HC}_7\text{H}_5\text{O}_2(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{H}_3\text{O}^+(\text{aq}) + \text{C}_7\text{H}_5\text{O}_2^-(\text{aq}) \]

- **Initial (M):**
  - HC₇H₅O₂(aq): blank
  - H₂O(l): not applicable
  - H₃O⁺(aq): blank
  - C₇H₅O₂⁻(aq): blank

- **Change (M):**
  - HC₇H₅O₂(aq): blank
  - H₂O(l): not applicable
  - H₃O⁺(aq): blank
  - C₇H₅O₂⁻(aq): blank

- **Equilibrium (M):**
  - HC₇H₅O₂(aq): blank
  - H₂O(l): not applicable
  - H₃O⁺(aq): blank
  - C₇H₅O₂⁻(aq): blank

**Values Provided Below the Table:**

- **HC₇H₅O₂(aq):**
  - Initial: 0.178 M
  - Change: \( -x \)
  - Equilibrium: \( 0.880 - x \)

- **NaC₇H
Transcribed Image Text:The image depicts a step-by-step approach to determine the pH of a buffer solution. Here's a transcription and explanation of the ICE table setup: **Title:** Determine the pH of a buffer. **Introduction:** A buffer is prepared by dissolving 21.5 g of HC₇H₅O₂ and 37.7 g of NaC₇H₅O₂ in 200.0 mL of solution. The value of Ka for HC₇H₅O₂ is 6.3 × 10⁻⁵. **Instructions:** Based on the given values, set up an ICE (Initial, Change, Equilibrium) table in order to determine the unknown. **ICE Table:** The reaction is as follows: \[ \text{HC}_7\text{H}_5\text{O}_2(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{H}_3\text{O}^+(\text{aq}) + \text{C}_7\text{H}_5\text{O}_2^-(\text{aq}) \] - **Initial (M):** - HC₇H₅O₂(aq): blank - H₂O(l): not applicable - H₃O⁺(aq): blank - C₇H₅O₂⁻(aq): blank - **Change (M):** - HC₇H₅O₂(aq): blank - H₂O(l): not applicable - H₃O⁺(aq): blank - C₇H₅O₂⁻(aq): blank - **Equilibrium (M):** - HC₇H₅O₂(aq): blank - H₂O(l): not applicable - H₃O⁺(aq): blank - C₇H₅O₂⁻(aq): blank **Values Provided Below the Table:** - **HC₇H₅O₂(aq):** - Initial: 0.178 M - Change: \( -x \) - Equilibrium: \( 0.880 - x \) - **NaC₇H
**Buffer pH Determination**

To determine the pH of a buffer formed by dissolving 21.5 g of HC₇H₅O₂ and 37.7 g of NaC₇H₅O₂ in 200.0 mL of solution, we use the given value of the acid dissociation constant (\( K_a \)) for HC₇H₅O₂, which is \( 6.3 \times 10^{-5} \).

**ICE Table and Expression for \( K_a \):**

Based on the ICE (Initial, Change, Equilibrium) table and definition of \( K_a \), set up the expression for \( K_a \) to determine the unknown. Do not combine or simplify terms.

\[
K_a = \boxed{\_\_\_} = 6.3 \times 10^{-5}
\]

**Options for Values in Expression Setup:**

- [0]
- [21.5]
- [37.7]
- [0.176]
- [0.261]
- [0.880]
- [1.31]
- [0.178]
- [0.888]
- [x]
- [2x]
- [21.5 - x]
- [37.7 + x]
- [0.176 - x]
- [0.261 + x]
- [0.880 - x]
- [1.31 + x]
- [0.178 + x]
- [0.888 + x]

**Instructions:**

- Choose the appropriate values for the expression.
- Do not combine or simplify the terms when setting up the equation.

**User Interaction:**

- Use the provided buttons to select values for the expression.
- Press "RESET" to clear selections and start over.
Transcribed Image Text:**Buffer pH Determination** To determine the pH of a buffer formed by dissolving 21.5 g of HC₇H₅O₂ and 37.7 g of NaC₇H₅O₂ in 200.0 mL of solution, we use the given value of the acid dissociation constant (\( K_a \)) for HC₇H₅O₂, which is \( 6.3 \times 10^{-5} \). **ICE Table and Expression for \( K_a \):** Based on the ICE (Initial, Change, Equilibrium) table and definition of \( K_a \), set up the expression for \( K_a \) to determine the unknown. Do not combine or simplify terms. \[ K_a = \boxed{\_\_\_} = 6.3 \times 10^{-5} \] **Options for Values in Expression Setup:** - [0] - [21.5] - [37.7] - [0.176] - [0.261] - [0.880] - [1.31] - [0.178] - [0.888] - [x] - [2x] - [21.5 - x] - [37.7 + x] - [0.176 - x] - [0.261 + x] - [0.880 - x] - [1.31 + x] - [0.178 + x] - [0.888 + x] **Instructions:** - Choose the appropriate values for the expression. - Do not combine or simplify the terms when setting up the equation. **User Interaction:** - Use the provided buttons to select values for the expression. - Press "RESET" to clear selections and start over.
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