Chemistry
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ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Determining the Solubility Product Constant (Ksp) for Mg(CN)₂**
The molar solubility of Mg(CN)₂ is given as 1.4 × 10⁻⁵ M at a certain temperature. Our objective is to determine the value of the solubility product constant (Ksp) for Mg(CN)₂.
**Guidance:**
Fill in the ICE (Initial, Change, Equilibrium) table to determine the concentrations of reactants and products in equilibrium based on the given solubility.
### ICE Table
| | Mg(CN)₂(s) | ⇌ | Mg²⁺(aq) | + | 2 CN⁻(aq) |
|----------------------|------------|---|----------|---|-----------|
| **Initial (M)** | | | | | |
| **Change (M)** | | | | | |
| **Equilibrium (M)** | | | | | |
### Choices for Values
Below the table, several options are available for each entry in the table:
- **Initial (M):** Usually starts at 0 for product ions as the solid begins to dissolve.
- **Change (M):** Indicated by typical chemical equilibrium terms such as ±x, 1.4 × 10⁻⁵, or 1.4 × 10⁻⁵ ± x.
- **Equilibrium (M):** Final concentrations are computed based on the changes that occurred.
Utilize these values to adequately fill the table and compute Ksp using the relation:
\[ K_{sp} = [\text{Mg}^{2+}][\text{CN}^-]^2 \]
This setup guides the calculations required to find the equilibrium concentrations and support the derivation of Ksp.](https://content.bartleby.com/qna-images/question/b393cf68-6058-47dc-b87c-0617b976ea27/b9bcd809-f401-45a8-bde7-f8da10a65cdd/fxkonhi_processed.jpeg)
Transcribed Image Text:**Determining the Solubility Product Constant (Ksp) for Mg(CN)₂**
The molar solubility of Mg(CN)₂ is given as 1.4 × 10⁻⁵ M at a certain temperature. Our objective is to determine the value of the solubility product constant (Ksp) for Mg(CN)₂.
**Guidance:**
Fill in the ICE (Initial, Change, Equilibrium) table to determine the concentrations of reactants and products in equilibrium based on the given solubility.
### ICE Table
| | Mg(CN)₂(s) | ⇌ | Mg²⁺(aq) | + | 2 CN⁻(aq) |
|----------------------|------------|---|----------|---|-----------|
| **Initial (M)** | | | | | |
| **Change (M)** | | | | | |
| **Equilibrium (M)** | | | | | |
### Choices for Values
Below the table, several options are available for each entry in the table:
- **Initial (M):** Usually starts at 0 for product ions as the solid begins to dissolve.
- **Change (M):** Indicated by typical chemical equilibrium terms such as ±x, 1.4 × 10⁻⁵, or 1.4 × 10⁻⁵ ± x.
- **Equilibrium (M):** Final concentrations are computed based on the changes that occurred.
Utilize these values to adequately fill the table and compute Ksp using the relation:
\[ K_{sp} = [\text{Mg}^{2+}][\text{CN}^-]^2 \]
This setup guides the calculations required to find the equilibrium concentrations and support the derivation of Ksp.
![**Question 19 of 25**
The molar solubility of Mg(CN)₂ is \(1.4 \times 10^{-5}\) M at a certain temperature. Determine the value of Ksp for Mg(CN)₂.
**Instructions:**
Based on the setup of your ICE table, construct the expression for Ksp and then evaluate it. Do not combine or simplify terms.
\[ K_{sp} = \, \text{[ ]} = \, \text{[ ]} \]
**Available Options:**
- \([0]\)
- \([1.4 \times 10^{-5}]\)
- \([2.8 \times 10^{-5}]\)
- \([1.4 \times 10^{-5}]^2\)
- \([2.8 \times 10^{-5}]^2\)
- \([x]\)
- \([2x]^2\)
- \([1.4 \times 10^{-5} + x]\)
- \([1.4 \times 10^{-5} - x]\)
- \([1.4 \times 10^{-5} - 2x]\)
- \([1.4 \times 10^{-5} + x]^2\)
- \([2.8 \times 10^{-5} - x]\)
- \([2.8 \times 10^{-5} + 2x]\)
**Expression Options:**
- \(2.7 \times 10^{-15}\)
- \(1.1 \times 10^{-14}\)
- \(2.2 \times 10^{-14}\)
- \(3.9 \times 10^{-10}\)
**Reset Button:**
To start over, press the "RESET" button.](https://content.bartleby.com/qna-images/question/b393cf68-6058-47dc-b87c-0617b976ea27/b9bcd809-f401-45a8-bde7-f8da10a65cdd/nlm8wii_processed.jpeg)
Transcribed Image Text:**Question 19 of 25**
The molar solubility of Mg(CN)₂ is \(1.4 \times 10^{-5}\) M at a certain temperature. Determine the value of Ksp for Mg(CN)₂.
**Instructions:**
Based on the setup of your ICE table, construct the expression for Ksp and then evaluate it. Do not combine or simplify terms.
\[ K_{sp} = \, \text{[ ]} = \, \text{[ ]} \]
**Available Options:**
- \([0]\)
- \([1.4 \times 10^{-5}]\)
- \([2.8 \times 10^{-5}]\)
- \([1.4 \times 10^{-5}]^2\)
- \([2.8 \times 10^{-5}]^2\)
- \([x]\)
- \([2x]^2\)
- \([1.4 \times 10^{-5} + x]\)
- \([1.4 \times 10^{-5} - x]\)
- \([1.4 \times 10^{-5} - 2x]\)
- \([1.4 \times 10^{-5} + x]^2\)
- \([2.8 \times 10^{-5} - x]\)
- \([2.8 \times 10^{-5} + 2x]\)
**Expression Options:**
- \(2.7 \times 10^{-15}\)
- \(1.1 \times 10^{-14}\)
- \(2.2 \times 10^{-14}\)
- \(3.9 \times 10^{-10}\)
**Reset Button:**
To start over, press the "RESET" button.
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