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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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
Transcribed Image Text:**Transcription for Educational Website: Chemistry Concepts**
---
**Exercise: Solubility and Thermodynamics of Magnesium Hydroxide**
**1. Solubility of Magnesium Hydroxide (Mg(OH)₂):**
- The solubility of magnesium hydroxide (Mg(OH)₂) is approximately \(3.7 \times 10^{-5}\) M at room temperature.
a. **Dissolution Reaction:**
- Write the dissolution reaction for magnesium hydroxide, including state symbols.
b. **Solubility Product Constant (K\(_{sp}\)):**
- Calculate the solubility product constant (K\(_{sp}\)) for magnesium hydroxide at room temperature.
c. **Mass in Solution:**
- How many grams of magnesium hydroxide are present in 1.0 L of a saturated solution at room temperature?
**2. Thermodynamic Analysis Using Graphical Data:**
- A plot of \( \ln K \) vs. \( \frac{1}{T} \) gives a slope of \(-2980 \, \text{K}\) and an intercept of \(-10.6\).
- Calculate \( \Delta H^{\circ} \) in kJ/mol and \( \Delta S^{\circ} \) in J\(\cdot\)K\(^{-1}\)\(\cdot\)mol\(^{-1}\).
- **Hint:** What is the equation for this line in terms of \( K \), \( T \), \( \Delta H^{\circ} \), and \( \Delta S^{\circ} \)?
---
*Edited: 8/12/2019*
*Page 2*
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