Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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### Equilibrium Reaction Analysis

**Chemical Reaction at Equilibrium:**

Consider the following system at equilibrium at 25°C:

\[ \text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g) \quad \Delta G^\circ = -92.50 \, \text{kJ} \]

**Question:**

What will happen to the ratio of partial pressure of \(\text{PCl}_5\) to partial pressure of \(\text{PCl}_3\) if the temperature is raised?

- **Decrease** (Selected and Correct)
- Increase
- No Change

**Explanation:**

Select all that apply:

- [ ] The reaction is exothermic.
- [ ] The equilibrium will shift to the left when the temperature is raised.
- [ ] The reaction is endothermic.
- [ ] The equilibrium will shift to the right when the temperature is raised.
- [ ] \(\Delta S\) is negative.
- [ ] Not enough information to determine if the reaction is endothermic or exothermic.
- [ ] Not enough information to determine the sign of \(\Delta H\).
- [ ] \(\Delta H\) is negative.
- [ ] Not enough information to determine the sign of \(\Delta S\).
- [ ] \(\Delta S\) is positive.
- [ ] \(\Delta H\) is positive.

### Analysis:

1. **Reaction Direction:**
   - Given \(\Delta G^\circ = -92.50 \, \text{kJ}\), the reaction is spontaneous under standard conditions.
   - Raising the temperature typically affects the position of equilibrium according to Le Chatelier's principle.

2. **Thermodynamic Considerations:**
   - Since \(\Delta G^\circ\) is negative, the reaction is favorable in the forward direction.
   - \(\Delta H\) is generally negative for exothermic reactions, suggesting heat is released.

3. **Equilibrium Shift:**
   - For an exothermic reaction such as this, increasing the temperature would shift the equilibrium to the left, towards reactants (\(\text{PCl}_3\) and \(\text{Cl}_2\)), decreasing the ratio of \(\text{PCl}_5\).

This comprehensive approach aids in understanding equilibrium shifts in response to temperature changes and the
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Transcribed Image Text:### Equilibrium Reaction Analysis **Chemical Reaction at Equilibrium:** Consider the following system at equilibrium at 25°C: \[ \text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g) \quad \Delta G^\circ = -92.50 \, \text{kJ} \] **Question:** What will happen to the ratio of partial pressure of \(\text{PCl}_5\) to partial pressure of \(\text{PCl}_3\) if the temperature is raised? - **Decrease** (Selected and Correct) - Increase - No Change **Explanation:** Select all that apply: - [ ] The reaction is exothermic. - [ ] The equilibrium will shift to the left when the temperature is raised. - [ ] The reaction is endothermic. - [ ] The equilibrium will shift to the right when the temperature is raised. - [ ] \(\Delta S\) is negative. - [ ] Not enough information to determine if the reaction is endothermic or exothermic. - [ ] Not enough information to determine the sign of \(\Delta H\). - [ ] \(\Delta H\) is negative. - [ ] Not enough information to determine the sign of \(\Delta S\). - [ ] \(\Delta S\) is positive. - [ ] \(\Delta H\) is positive. ### Analysis: 1. **Reaction Direction:** - Given \(\Delta G^\circ = -92.50 \, \text{kJ}\), the reaction is spontaneous under standard conditions. - Raising the temperature typically affects the position of equilibrium according to Le Chatelier's principle. 2. **Thermodynamic Considerations:** - Since \(\Delta G^\circ\) is negative, the reaction is favorable in the forward direction. - \(\Delta H\) is generally negative for exothermic reactions, suggesting heat is released. 3. **Equilibrium Shift:** - For an exothermic reaction such as this, increasing the temperature would shift the equilibrium to the left, towards reactants (\(\text{PCl}_3\) and \(\text{Cl}_2\)), decreasing the ratio of \(\text{PCl}_5\). This comprehensive approach aids in understanding equilibrium shifts in response to temperature changes and the
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