How many grams of NH4Br must be dissolved in 1.00 L of water to produce a solution with pH = 5.16? The Kb of NH3 is equal to 1.8 x 105. 1 2 NEXT > Let x represent the original concentration of NH4* in the water. Based on the given values, set up the ICE table in order to determine the unknown. NH4*(aq) H20(1) H3O*(aq) NH3(aq) + + Initial (M) Change (M) Equilibrium (M) 5 RESET 1.00 5.16 1.8 x 10-5 2x 0.5x -2x -0.5x 6.9 x 10-6 -6.9 × 10-6 0.709 -0.709 x + 6.9 x 10"6 -X x - 6.9 x 10-6 x + 0.709 x - 0.709

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Educational Content: Calculating Grams of NH₄Br for Desired pH**

**Problem Statement:**
How many grams of NH₄Br must be dissolved in 1.00 L of water to produce a solution with a pH = 5.16? The Kb of NH₃ is equal to 1.8 × 10⁻⁵.

**Instructions:**
Let \( x \) represent the original concentration of \( \text{NH}_4^+ \) in the water. Using this variable, set up the ICE (Initial, Change, Equilibrium) table to determine the unknown concentrations and solve the problem.

**ICE Table:**

|      | \( \text{NH}_4^+ \, (\text{aq}) \) | \( + \) | \( \text{H}_2\text{O} \, (\text{l}) \) | \( \rightleftharpoons \) | \( \text{H}_3\text{O}^+ \, (\text{aq}) \) | \( + \) | \( \text{NH}_3 \, (\text{aq}) \) |
|------|----------------------------------|-------|-------------------------------------|------------------------|---------------------------------|-------|------------------------------|
| **Initial (M)** | \| \| | \| \| | \| \| | \| \| |
| **Change (M)**  | \| \| | \| \| | \| \| | \| \| |
| **Equilibrium (M)** | \| \| | \| \| | \| \| | \| \| |

In the ICE table, the rows labeled "Initial", "Change", and "Equilibrium" are used to represent the molarity (M) of each species as the reaction proceeds.

**Given Values and Options:**
Below the table, you are provided with numerical options that can be used to fill in the blank spaces of the ICE table. These values include:
- Concentration values: \( x \), \( 2x \), \( 0.5x \), \( x - 6.9 \times 10^{-6} \), \( x + 6.9 \times 10^{-6} \)
- Proton concentrations or changes: \( -x \), \( -2x \), \( -0.5x \
Transcribed Image Text:**Educational Content: Calculating Grams of NH₄Br for Desired pH** **Problem Statement:** How many grams of NH₄Br must be dissolved in 1.00 L of water to produce a solution with a pH = 5.16? The Kb of NH₃ is equal to 1.8 × 10⁻⁵. **Instructions:** Let \( x \) represent the original concentration of \( \text{NH}_4^+ \) in the water. Using this variable, set up the ICE (Initial, Change, Equilibrium) table to determine the unknown concentrations and solve the problem. **ICE Table:** | | \( \text{NH}_4^+ \, (\text{aq}) \) | \( + \) | \( \text{H}_2\text{O} \, (\text{l}) \) | \( \rightleftharpoons \) | \( \text{H}_3\text{O}^+ \, (\text{aq}) \) | \( + \) | \( \text{NH}_3 \, (\text{aq}) \) | |------|----------------------------------|-------|-------------------------------------|------------------------|---------------------------------|-------|------------------------------| | **Initial (M)** | \| \| | \| \| | \| \| | \| \| | | **Change (M)** | \| \| | \| \| | \| \| | \| \| | | **Equilibrium (M)** | \| \| | \| \| | \| \| | \| \| | In the ICE table, the rows labeled "Initial", "Change", and "Equilibrium" are used to represent the molarity (M) of each species as the reaction proceeds. **Given Values and Options:** Below the table, you are provided with numerical options that can be used to fill in the blank spaces of the ICE table. These values include: - Concentration values: \( x \), \( 2x \), \( 0.5x \), \( x - 6.9 \times 10^{-6} \), \( x + 6.9 \times 10^{-6} \) - Proton concentrations or changes: \( -x \), \( -2x \), \( -0.5x \
**Question:**  
How many grams of NH₄Br must be dissolved in 1.00 L of water to produce a solution with pH = 5.16? The Kb of NH₃ is equal to 1.8 × 10⁻⁵.

**Instructions:**  
Based on your ICE table and definition of Ka, set up the expression for Ka in order to determine the unknown. Do not combine or simplify terms.

**Equation Setup:**
\[ K_a = \_\_\_\_ \]

**Options:**  
Below the main question, there are several selectable options represented as boxes. These include:

- \([0]\)
- \([1.00]\)
- \([5.16]\)
- \([1.8 \times 10^{-5}]\)
- \([x]\)
- \([2x]\)
- \([0.5x]\)
- \([6.9 \times 10^{-6}]\)
- \([0.709]\)
- \([x + 6.9 \times 10^{-6}]\)
- \([x - 6.9 \times 10^{-6}]\)
- \([x + 0.709]\)
- \([x - 0.709]\)
- \(0\)
- \(1.8 \times 10^{-5}\)
- \(4.7\)
- \(5.6 \times 10^{-10}\)
- \(1.8 \times 10^{-19}\)

**Buttons:**  
- **PREV:** Navigate to a previous step.
- **NEXT:** Proceed to the next step.
- **RESET:** Clear all inputs and selections.

**Diagram Description:**

This interactive exercise requires the user to determine the \( K_a \) expression based on the information provided. The possible variable and constant values are meant to help in setting up the correct expression for solving the problem related to the dissolution of NH₄Br in water.
Transcribed Image Text:**Question:** How many grams of NH₄Br must be dissolved in 1.00 L of water to produce a solution with pH = 5.16? The Kb of NH₃ is equal to 1.8 × 10⁻⁵. **Instructions:** Based on your ICE table and definition of Ka, set up the expression for Ka in order to determine the unknown. Do not combine or simplify terms. **Equation Setup:** \[ K_a = \_\_\_\_ \] **Options:** Below the main question, there are several selectable options represented as boxes. These include: - \([0]\) - \([1.00]\) - \([5.16]\) - \([1.8 \times 10^{-5}]\) - \([x]\) - \([2x]\) - \([0.5x]\) - \([6.9 \times 10^{-6}]\) - \([0.709]\) - \([x + 6.9 \times 10^{-6}]\) - \([x - 6.9 \times 10^{-6}]\) - \([x + 0.709]\) - \([x - 0.709]\) - \(0\) - \(1.8 \times 10^{-5}\) - \(4.7\) - \(5.6 \times 10^{-10}\) - \(1.8 \times 10^{-19}\) **Buttons:** - **PREV:** Navigate to a previous step. - **NEXT:** Proceed to the next step. - **RESET:** Clear all inputs and selections. **Diagram Description:** This interactive exercise requires the user to determine the \( K_a \) expression based on the information provided. The possible variable and constant values are meant to help in setting up the correct expression for solving the problem related to the dissolution of NH₄Br in water.
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