Question 11 of 11 The molar solubility of Mg(CN)2 is 1.4 x 10-5 M at a certain temperature. Determine the value of Ksp for Mg(CN)2. PREV 1 2 Based on the set up of your ICE table, construct the expression for Ksp and then evaluate it. Do not combine or simplify terms. Ksp 1.1 x 10-14 %3D
Question 11 of 11 The molar solubility of Mg(CN)2 is 1.4 x 10-5 M at a certain temperature. Determine the value of Ksp for Mg(CN)2. PREV 1 2 Based on the set up of your ICE table, construct the expression for Ksp and then evaluate it. Do not combine or simplify terms. Ksp 1.1 x 10-14 %3D
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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![**Topic: Solubility Product Constant (Ksp) Calculation for Magnesium Cyanide**
**Text:**
The molar solubility of Mg(CN)₂ is \(1.4 \times 10^{-5}\) M at a certain temperature. Determine the value of K\(_{sp}\) for Mg(CN)₂.
---
**ICE Table Explanation:**
The table below illustrates the Initial, Change, and Equilibrium (ICE) concentrations for the dissolution of magnesium cyanide in water:
| | Mg(CN)₂(s) | ⇌ | Mg²⁺(aq) | + | 2 CN⁻(aq) |
|---------------|------------|---|-------------|----|-------------|
| **Initial (M)** | – | | 0 | | 0 |
| **Change (M)** | – | | \(1.4 \times 10^{-5}\) | | \(2.8 \times 10^{-5}\) |
| **Equilibrium (M)** | – | | \(1.4 \times 10^{-5}\) | | \(2.8 \times 10^{-5}\) |
- **Initial Concentrations:**
- Mg²⁺ and CN⁻ ions are initially not present in solution.
- **Change in Concentrations:**
- As Mg(CN)₂ dissolves, the concentration of Mg²⁺ increases by \(1.4 \times 10^{-5}\) M.
- The concentration of CN⁻ ions, due to stoichiometry, increases by \(2 \times (1.4 \times 10^{-5}) = 2.8 \times 10^{-5}\) M.
- **Equilibrium Concentrations:**
- At equilibrium, the concentration of Mg²⁺ is \(1.4 \times 10^{-5}\) M.
- The concentration of CN⁻ is \(2.8 \times 10^{-5}\) M.
**Determination of K\(_{sp}\):**
To find the \(K_{sp}\), use the expression:
\[ K_{sp} = [\text{Mg}^{2+}][\text{CN}^-]^2 \]
Substituting at equilibrium:
\[ K_{sp} = (1.4 \times](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda49d88f-c13d-4d47-965d-d46621f23dd9%2F6a69a332-6a2d-43b2-b18b-e7962eacbe4e%2Fhzd9sa_processed.png&w=3840&q=75)
Transcribed Image Text:**Topic: Solubility Product Constant (Ksp) Calculation for Magnesium Cyanide**
**Text:**
The molar solubility of Mg(CN)₂ is \(1.4 \times 10^{-5}\) M at a certain temperature. Determine the value of K\(_{sp}\) for Mg(CN)₂.
---
**ICE Table Explanation:**
The table below illustrates the Initial, Change, and Equilibrium (ICE) concentrations for the dissolution of magnesium cyanide in water:
| | Mg(CN)₂(s) | ⇌ | Mg²⁺(aq) | + | 2 CN⁻(aq) |
|---------------|------------|---|-------------|----|-------------|
| **Initial (M)** | – | | 0 | | 0 |
| **Change (M)** | – | | \(1.4 \times 10^{-5}\) | | \(2.8 \times 10^{-5}\) |
| **Equilibrium (M)** | – | | \(1.4 \times 10^{-5}\) | | \(2.8 \times 10^{-5}\) |
- **Initial Concentrations:**
- Mg²⁺ and CN⁻ ions are initially not present in solution.
- **Change in Concentrations:**
- As Mg(CN)₂ dissolves, the concentration of Mg²⁺ increases by \(1.4 \times 10^{-5}\) M.
- The concentration of CN⁻ ions, due to stoichiometry, increases by \(2 \times (1.4 \times 10^{-5}) = 2.8 \times 10^{-5}\) M.
- **Equilibrium Concentrations:**
- At equilibrium, the concentration of Mg²⁺ is \(1.4 \times 10^{-5}\) M.
- The concentration of CN⁻ is \(2.8 \times 10^{-5}\) M.
**Determination of K\(_{sp}\):**
To find the \(K_{sp}\), use the expression:
\[ K_{sp} = [\text{Mg}^{2+}][\text{CN}^-]^2 \]
Substituting at equilibrium:
\[ K_{sp} = (1.4 \times
![### Question 11 of 11
The molar solubility of Mg(CN)₂ is \(1.4 \times 10^{-5}\) M at a certain temperature. Determine the value of \(K_{sp}\) for Mg(CN)₂.
---
#### Instructions:
Based on the setup of your ICE table, construct the expression for \(K_{sp}\) and then evaluate it. Do not combine or simplify terms.
\[
K_{sp} = \boxed{} \times \boxed{} = 1.1 \times 10^{-14}
\]
---
#### Options for Boxes:
[0]
\[1.4 \times 10^{-5}\]
\[2.8 \times 10^{-5}\]
\[(1.4 \times 10^{-5})^2\]
\[(2.8 \times 10^{-5})^2\]
[x]
\[2x\]
\[x^2\]
\[(1.4 \times 10^{-5} + x)\]
\[(1.4 \times 10^{-5} - x)\]
\[(1.4 \times 10^{-5} + 2x)^2\]
\[(2.8 \times 10^{-5} - 2x)^2\]
\[(2.8 \times 10^{-5} + x)\]
\[2.7 \times 10^{-15}\]
\[1.1 \times 10^{-14}\]
\[2.2 \times 10^{-14}\]
\[3.9 \times 10^{-10}\]
\[1.4 \times 10^{-5}\]
---
#### Reset Button:
RESET
---
This interactive setup allows students to calculate the solubility product constant (\(K_{sp}\)) using given data, building an understanding of how solubility and equilibrium expressions are constructed from an ICE table (Initial, Change, Equilibrium).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda49d88f-c13d-4d47-965d-d46621f23dd9%2F6a69a332-6a2d-43b2-b18b-e7962eacbe4e%2Ffimbtrs_processed.png&w=3840&q=75)
Transcribed Image Text:### Question 11 of 11
The molar solubility of Mg(CN)₂ is \(1.4 \times 10^{-5}\) M at a certain temperature. Determine the value of \(K_{sp}\) for Mg(CN)₂.
---
#### Instructions:
Based on the setup of your ICE table, construct the expression for \(K_{sp}\) and then evaluate it. Do not combine or simplify terms.
\[
K_{sp} = \boxed{} \times \boxed{} = 1.1 \times 10^{-14}
\]
---
#### Options for Boxes:
[0]
\[1.4 \times 10^{-5}\]
\[2.8 \times 10^{-5}\]
\[(1.4 \times 10^{-5})^2\]
\[(2.8 \times 10^{-5})^2\]
[x]
\[2x\]
\[x^2\]
\[(1.4 \times 10^{-5} + x)\]
\[(1.4 \times 10^{-5} - x)\]
\[(1.4 \times 10^{-5} + 2x)^2\]
\[(2.8 \times 10^{-5} - 2x)^2\]
\[(2.8 \times 10^{-5} + x)\]
\[2.7 \times 10^{-15}\]
\[1.1 \times 10^{-14}\]
\[2.2 \times 10^{-14}\]
\[3.9 \times 10^{-10}\]
\[1.4 \times 10^{-5}\]
---
#### Reset Button:
RESET
---
This interactive setup allows students to calculate the solubility product constant (\(K_{sp}\)) using given data, building an understanding of how solubility and equilibrium expressions are constructed from an ICE table (Initial, Change, Equilibrium).
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