Determine the molar solubility for Cr(OH); (Ksp = 6.3 × 10-31") in an aqueous solution that has a pH of 11.90 at 25 °C. PREV 3 NEXT Based on your ICE table, set up the expression for Ksp in order to determine the unknown. Do not combine or simplify terms. Ksp = 6.3 × 1031 [x] %3D [3x]°

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### Molar Solubility of Cr(OH)₃

**Objective:**
Determine the molar solubility for Cr(OH)₃ (Ksp = 6.3 x 10⁻³¹) in an aqueous solution with a pH of 11.90 at 25 °C.

---

**Instructions:**
Based on your ICE table, set up the expression for Ksp to determine the unknown. Do not combine or simplify terms.

**Expression:**
\[ K_{sp} = [x][3x]^3 = 6.3 \times 10^{-31} \]

---

**Options:**
Below are the possible expressions or values you might use when setting up your expression:

- [0]
- [11.90]
- [11.90]³
- [1.3 × 10⁻¹²]
- [7.9 × 10⁻³]
- [7.9 × 10⁻³]³ 
- [x]
- [3x]
- [3x]³
- [11.90 + x]
- [11.90 - 3x]
- [1.3 × 10⁻¹² + x]
- [11.90 + 3x]³
- [1.3 × 10⁻¹² - 3x]³
- [7.9 × 10⁻³ + 3x]³

---

**Reset:**
If needed, you can reset your entries and start over by selecting the reset option.

---

By setting up the correct solubility expression using these inputs, you can solve for the unknown molar concentration of Cr(OH)₃ in the solution.
Transcribed Image Text:### Molar Solubility of Cr(OH)₃ **Objective:** Determine the molar solubility for Cr(OH)₃ (Ksp = 6.3 x 10⁻³¹) in an aqueous solution with a pH of 11.90 at 25 °C. --- **Instructions:** Based on your ICE table, set up the expression for Ksp to determine the unknown. Do not combine or simplify terms. **Expression:** \[ K_{sp} = [x][3x]^3 = 6.3 \times 10^{-31} \] --- **Options:** Below are the possible expressions or values you might use when setting up your expression: - [0] - [11.90] - [11.90]³ - [1.3 × 10⁻¹²] - [7.9 × 10⁻³] - [7.9 × 10⁻³]³ - [x] - [3x] - [3x]³ - [11.90 + x] - [11.90 - 3x] - [1.3 × 10⁻¹² + x] - [11.90 + 3x]³ - [1.3 × 10⁻¹² - 3x]³ - [7.9 × 10⁻³ + 3x]³ --- **Reset:** If needed, you can reset your entries and start over by selecting the reset option. --- By setting up the correct solubility expression using these inputs, you can solve for the unknown molar concentration of Cr(OH)₃ in the solution.
### Determining Molar Solubility of Cr(OH)₃

In this exercise, we aim to determine the molar solubility of Chromium(III) hydroxide, Cr(OH)₃, given a solubility product constant (Ksp) of \(6.3 \times 10^{-31}\) at 25 °C in an aqueous solution with a pH of 11.90.

#### ICE Table Setup

**ICE Table Components:**

- **Cr(OH)₃ (s) ⇌ Cr³⁺ (aq) + 3 OH⁻ (aq)**

1. **Initial Concentrations (Molarity, M):**
   - Cr(OH)₃ (solid): Not applicable.
   - Cr³⁺: 0 M
   - OH⁻: 0 M

2. **Change in Concentrations (M):**
   - Cr(OH)₃: Not applicable
   - Cr³⁺: +x M
   - OH⁻: +3x M

3. **Equilibrium Concentrations (M):**
   - Cr(OH)₃: Not applicable
   - Cr³⁺: x M
   - OH⁻: 3x M

#### Exploring pH and Hydroxide Ion Concentration

- Given pH: 11.90
  - Calculating pOH: \(14 - 11.90 = 2.10\)
  - Hydroxide ion concentration, [OH⁻]: \(10^{-2.10}\)

#### Selection Area 

1. **Variable Value Selections:**
   - Cr³⁺ concentration: 1.3 × 10⁻¹² M
   - OH⁻ concentration options include values such as \(7.9 \times 10^{-3}\) M and adjustments for \(3x\) relationship, etc.

By inputting these values and calculations appropriately, you will determine the molar solubility of Cr(OH)₃ using the ICE table and correlation with Ksp.

**Note:** The diagram offers options to reset and assemble different concentrations to solidify conceptual understanding of how changes in pH and concentration affect solubility equilibrium.
Transcribed Image Text:### Determining Molar Solubility of Cr(OH)₃ In this exercise, we aim to determine the molar solubility of Chromium(III) hydroxide, Cr(OH)₃, given a solubility product constant (Ksp) of \(6.3 \times 10^{-31}\) at 25 °C in an aqueous solution with a pH of 11.90. #### ICE Table Setup **ICE Table Components:** - **Cr(OH)₃ (s) ⇌ Cr³⁺ (aq) + 3 OH⁻ (aq)** 1. **Initial Concentrations (Molarity, M):** - Cr(OH)₃ (solid): Not applicable. - Cr³⁺: 0 M - OH⁻: 0 M 2. **Change in Concentrations (M):** - Cr(OH)₃: Not applicable - Cr³⁺: +x M - OH⁻: +3x M 3. **Equilibrium Concentrations (M):** - Cr(OH)₃: Not applicable - Cr³⁺: x M - OH⁻: 3x M #### Exploring pH and Hydroxide Ion Concentration - Given pH: 11.90 - Calculating pOH: \(14 - 11.90 = 2.10\) - Hydroxide ion concentration, [OH⁻]: \(10^{-2.10}\) #### Selection Area 1. **Variable Value Selections:** - Cr³⁺ concentration: 1.3 × 10⁻¹² M - OH⁻ concentration options include values such as \(7.9 \times 10^{-3}\) M and adjustments for \(3x\) relationship, etc. By inputting these values and calculations appropriately, you will determine the molar solubility of Cr(OH)₃ using the ICE table and correlation with Ksp. **Note:** The diagram offers options to reset and assemble different concentrations to solidify conceptual understanding of how changes in pH and concentration affect solubility equilibrium.
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