Determine the pH of a buffer solution by constructing an ICE table, writing the equilibrium constant expression, and using this information to determine the pH. Complete Parts 1-3 before submitting your answer. Initial (M) Change (M) Equilibrium (M) 0.178 0.880 - x The buffer was prepared by dissolving 21.5 g HC7H5O₂ and 37.7 g of NaC-H5O₂ in 200.0 mL of solution. Fill in the ICE table with the appropriate value for each involved species to determine concentrations of all reactants and products.. 0 0.888 1 HC7HsO₂(aq) + 1.31 + x 21.5 +X 0.178 + x 37.7 2 H₂O(l) 0.888 + x 0.176 21.5-x 3 H3O+ (aq) + 0.261 37.7 + x 0.880 NEXT > 0.176 - x C7H5O₂ (aq) RESET 1.31 0.261 + x

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Task: Determine the pH of a Buffer Solution**

To determine the pH of a buffer solution, you need to construct an ICE (Initial, Change, Equilibrium) table, write the equilibrium constant expression, and utilize this information to compute the pH. Follow these instructions and complete Parts 1-3 before submitting your answer.

### Instructions

**Step 2: Set up the Ka expression**

- The acid dissociation constant, Ka, for HC₇H₅O₂ is given as 6.3 × 10⁻⁵.
- Based on the ICE table you constructed in Part 1 and the definition of Ka, you'll need to set up the expression for Ka. This is necessary to determine the unknown value.
- Ensure each participant in the reaction is represented by one tile. Do not combine the terms.

#### Expression Format

\[ K_a = \frac{[\text{Products}]}{[\text{Reactants}]} \]

\[ Ka = \frac{\text{[H⁺][C₇H₅O₂⁻]}}{\text{[HC₇H₅O₂]}} = 6.3 \times 10^{-5} \]

### Tiles to Enter

Below are the available concentrations or expressions you can use to fill in the Ka expression:

- [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]

Use these tiles to correctly form the expression that represents the equilibrium concentrations of the reactants and products in the Ka formula.

**RESET:** You can reset your selections to start over if needed.

This task is a fundamental exercise to understand how buffer solutions work and how to calculate their pH using equilibrium constants.
Transcribed Image Text:**Task: Determine the pH of a Buffer Solution** To determine the pH of a buffer solution, you need to construct an ICE (Initial, Change, Equilibrium) table, write the equilibrium constant expression, and utilize this information to compute the pH. Follow these instructions and complete Parts 1-3 before submitting your answer. ### Instructions **Step 2: Set up the Ka expression** - The acid dissociation constant, Ka, for HC₇H₅O₂ is given as 6.3 × 10⁻⁵. - Based on the ICE table you constructed in Part 1 and the definition of Ka, you'll need to set up the expression for Ka. This is necessary to determine the unknown value. - Ensure each participant in the reaction is represented by one tile. Do not combine the terms. #### Expression Format \[ K_a = \frac{[\text{Products}]}{[\text{Reactants}]} \] \[ Ka = \frac{\text{[H⁺][C₇H₅O₂⁻]}}{\text{[HC₇H₅O₂]}} = 6.3 \times 10^{-5} \] ### Tiles to Enter Below are the available concentrations or expressions you can use to fill in the Ka expression: - [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] Use these tiles to correctly form the expression that represents the equilibrium concentrations of the reactants and products in the Ka formula. **RESET:** You can reset your selections to start over if needed. This task is a fundamental exercise to understand how buffer solutions work and how to calculate their pH using equilibrium constants.
**Problem Statement:**
Determine the pH of a buffer solution by constructing an ICE table, writing the equilibrium constant expression, and using this information to determine the pH. Complete Parts 1-3 before submitting your answer.

**Buffer Preparation:**
The buffer was prepared by dissolving 21.5 g of HC₇H₅O₂ and 37.7 g of NaC₇H₅O₂ in 200.0 mL of solution. Fill in the ICE table with the appropriate value for each involved species to determine concentrations of all reactants and products.

**ICE Table Setup:**

\[
\begin{array}{|c|c|c|c|c|}
\hline
 & \text{HC}_7\text{H}_5\text{O}_2 (\text{aq}) & + & \text{H}_2\text{O} (\text{l}) & \rightleftharpoons \text{H}_3\text{O}^+ (\text{aq}) & + \text{C}_7\text{H}_5\text{O}_2^- (\text{aq}) \\
\hline
\text{Initial (M)} & \_\_ & & \_\_ & \_\_ & \_\_ \\
\hline
\text{Change (M)} & \_\_ & & \_\_ & \_\_ & \_\_ \\
\hline
\text{Equilibrium (M)} & \_\_ & & \_\_ & \_\_ & \_\_ \\
\hline
\end{array}
\]

**Possible Values:**
- 0
- 21.5
- 37.7
- 0.176
- 0.261
- 0.178
- 0.880
- 0.888
- 1.31
- +x
- -x
- 21.5 - x
- 37.7 - x
- 0.176 - x
- 0.261 + x
- 0.178 + x
- 0.880 - x
- 1.31 + x

**Controls:**
- A "Reset" button is available for clearing inputs and starting over.
Transcribed Image Text:**Problem Statement:** Determine the pH of a buffer solution by constructing an ICE table, writing the equilibrium constant expression, and using this information to determine the pH. Complete Parts 1-3 before submitting your answer. **Buffer Preparation:** The buffer was prepared by dissolving 21.5 g of HC₇H₅O₂ and 37.7 g of NaC₇H₅O₂ in 200.0 mL of solution. Fill in the ICE table with the appropriate value for each involved species to determine concentrations of all reactants and products. **ICE Table Setup:** \[ \begin{array}{|c|c|c|c|c|} \hline & \text{HC}_7\text{H}_5\text{O}_2 (\text{aq}) & + & \text{H}_2\text{O} (\text{l}) & \rightleftharpoons \text{H}_3\text{O}^+ (\text{aq}) & + \text{C}_7\text{H}_5\text{O}_2^- (\text{aq}) \\ \hline \text{Initial (M)} & \_\_ & & \_\_ & \_\_ & \_\_ \\ \hline \text{Change (M)} & \_\_ & & \_\_ & \_\_ & \_\_ \\ \hline \text{Equilibrium (M)} & \_\_ & & \_\_ & \_\_ & \_\_ \\ \hline \end{array} \] **Possible Values:** - 0 - 21.5 - 37.7 - 0.176 - 0.261 - 0.178 - 0.880 - 0.888 - 1.31 - +x - -x - 21.5 - x - 37.7 - x - 0.176 - x - 0.261 + x - 0.178 + x - 0.880 - x - 1.31 + x **Controls:** - A "Reset" button is available for clearing inputs and starting over.
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