The molar solubility of Mg(CN): is 1.4 × 10-° M at a certain temperature. Determine the value of Ksp for Mg(CN):.

Chemistry
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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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**Question 4 of 30:**

**Problem Statement:**

The molar solubility of Mg(CN)₂ is 1.4 × 10⁻⁵ M at a certain temperature. Determine the value of Ksp for Mg(CN)₂.

---

**Instruction:**

Based on the given values, fill in the ICE table to determine concentrations of all reactants and products.

---

**Chemical Equation:**
\[ \text{Mg(CN)}_2(s) \leftrightharpoons \text{Mg}^{2+}(aq) + 2 \text{CN}^-(aq) \]

**ICE Table:**

|                  | Mg(CN)₂(s) | Mg²⁺(aq)     | 2 CN⁻(aq)     |
|------------------|------------|--------------|---------------|
| Initial (M)      |            |              |               |
| Change (M)       |            |              |               |
| Equilibrium (M)  |            |              |               |

**Options for Values:**

Below the table, several options are provided for filling the table:

- Initial: Includes values such as 0, 1.4 × 10⁻⁵, +x, and -x.
- Change: Options like -1.4 × 10⁻⁵, +2x, and -2x.
- Equilibrium: 1.4 × 10⁻⁵, 2.8 × 10⁻⁵, x, and 2.8 × 10⁻⁵ - 2x.

A "RESET" button is available to clear all inputs.

---

This activity is designed to help students apply their knowledge of equilibrium and solubility product constants (Ksp) to real-world chemical systems.
Transcribed Image Text:**Question 4 of 30:** **Problem Statement:** The molar solubility of Mg(CN)₂ is 1.4 × 10⁻⁵ M at a certain temperature. Determine the value of Ksp for Mg(CN)₂. --- **Instruction:** Based on the given values, fill in the ICE table to determine concentrations of all reactants and products. --- **Chemical Equation:** \[ \text{Mg(CN)}_2(s) \leftrightharpoons \text{Mg}^{2+}(aq) + 2 \text{CN}^-(aq) \] **ICE Table:** | | Mg(CN)₂(s) | Mg²⁺(aq) | 2 CN⁻(aq) | |------------------|------------|--------------|---------------| | Initial (M) | | | | | Change (M) | | | | | Equilibrium (M) | | | | **Options for Values:** Below the table, several options are provided for filling the table: - Initial: Includes values such as 0, 1.4 × 10⁻⁵, +x, and -x. - Change: Options like -1.4 × 10⁻⁵, +2x, and -2x. - Equilibrium: 1.4 × 10⁻⁵, 2.8 × 10⁻⁵, x, and 2.8 × 10⁻⁵ - 2x. A "RESET" button is available to clear all inputs. --- This activity is designed to help students apply their knowledge of equilibrium and solubility product constants (Ksp) to real-world chemical systems.
## Question 4 of 30

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.

\[ K_{sp} = \_\_\_\_\_\_ = \_\_\_\_\_\_ \]

**Options:**

- [0]
- [\(1.4 \times 10^{-1}\)]
- [\(2.8 \times 10^{-9}\)]
- [\(1.4 \times 10^{-14}\)]
- [\(2.8 \times 10^{-5}\)]
- [\(x\)]
- [\((2x)^2\)]
- [\(1.4 \times 10^{-5} + x\)]
- [\(1.4 \times 10^{-10}\)]
- [\(1.4 \times 10^{-4}\)]
- [\(2.8 \times 10^{-14}\)]
- [\(1.4 \times 10^{-5}\)]
- [\(1.4 \times 10^{-5} + 2x\)]
- [\(2.8 \times 10^{-5} - 2x\)]
- [\((1.4 \times 10^{-5})^3\)]
- [\(2.7 \times 10^{-15}\)]
- [\(1.1 \times 10^{-14}\)]
- [\(2.2 \times 10^{-10}\)]
- [\(3.9 \times 10^{-10}\)]

**Diagram Explanation:**

The screen shows a progression bar with the current question highlighted. It provides a reset button to start over if needed and several possible values that can be selected to solve for \( K_{sp} \).
Transcribed Image Text:## Question 4 of 30 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. \[ K_{sp} = \_\_\_\_\_\_ = \_\_\_\_\_\_ \] **Options:** - [0] - [\(1.4 \times 10^{-1}\)] - [\(2.8 \times 10^{-9}\)] - [\(1.4 \times 10^{-14}\)] - [\(2.8 \times 10^{-5}\)] - [\(x\)] - [\((2x)^2\)] - [\(1.4 \times 10^{-5} + x\)] - [\(1.4 \times 10^{-10}\)] - [\(1.4 \times 10^{-4}\)] - [\(2.8 \times 10^{-14}\)] - [\(1.4 \times 10^{-5}\)] - [\(1.4 \times 10^{-5} + 2x\)] - [\(2.8 \times 10^{-5} - 2x\)] - [\((1.4 \times 10^{-5})^3\)] - [\(2.7 \times 10^{-15}\)] - [\(1.1 \times 10^{-14}\)] - [\(2.2 \times 10^{-10}\)] - [\(3.9 \times 10^{-10}\)] **Diagram Explanation:** The screen shows a progression bar with the current question highlighted. It provides a reset button to start over if needed and several possible values that can be selected to solve for \( K_{sp} \).
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