A Moving to another question will save this response. Question 8 Show why, reaction (b) is spontaneous only at low temperature, while reaction (a) is always non-spontaneous. a) CH4(g) + 202(g) -> 2H2O(l) + CO2(g) (endothermic) b) 2C2H6(g) + 702(g) -> 6H2O(l) + 4CO2(g) (exothermic) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Av I Arial V 14px
A Moving to another question will save this response. Question 8 Show why, reaction (b) is spontaneous only at low temperature, while reaction (a) is always non-spontaneous. a) CH4(g) + 202(g) -> 2H2O(l) + CO2(g) (endothermic) b) 2C2H6(g) + 702(g) -> 6H2O(l) + 4CO2(g) (exothermic) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Av I Arial V 14px
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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![### Educational Content on Spontaneity of Chemical Reactions
**Question 8**
**Show why reaction (b) is spontaneous only at low temperature, while reaction (a) is always non-spontaneous.**
**Reactions:**
a) \( \text{CH}_4(g) + 2\text{O}_2(g) \rightarrow 2\text{H}_2\text{O}(l) + \text{CO}_2(g) \) (endothermic)
b) \( 2\text{C}_2\text{H}_6(g) + 7\text{O}_2(g) \rightarrow 6\text{H}_2\text{O}(l) + 4\text{CO}_2(g) \) (exothermic)
### Detailed Explanation
**a) Endothermic Reaction:**
In the above reaction (a), methane (CH₄) reacts with oxygen (O₂) to form water (H₂O) and carbon dioxide (CO₂). Since this reaction is endothermic, it requires the absorption of heat. For an endothermic reaction, ΔH (change in enthalpy) is positive. Endothermic reactions are usually non-spontaneous because they need continuous energy input to proceed.
**b) Exothermic Reaction:**
In reaction (b), ethane (C₂H₆) reacts with oxygen (O₂) to yield water (H₂O) and carbon dioxide (CO₂). This is an exothermic reaction, meaning it releases heat into the surroundings. Here, ΔH is negative. However, even exothermic reactions can be non-spontaneous if the temperature conditions are not favorable. Reaction (b) is spontaneous only at low temperatures because low temperatures favor exothermic processes.
### Key Concepts
- **Spontaneity:** A spontaneous reaction occurs naturally under given conditions. It depends on the changes in enthalpy (ΔH) and entropy (ΔS) of the system, and the temperature (T) as per the Gibbs free energy formula:
\[ \Delta G = \Delta H - T\Delta S \]
A reaction is spontaneous if ΔG (change in Gibbs free energy) is negative.
- **Endothermic Reactions:** Typically require heat absorption from the surroundings. These reactions are often non-spontaneous because](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2704aedc-cd59-4651-b157-0d8c71ae74f0%2F6b4cfc91-1fb8-4c5e-b773-247c6e5439ca%2Fjy7a2lf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Content on Spontaneity of Chemical Reactions
**Question 8**
**Show why reaction (b) is spontaneous only at low temperature, while reaction (a) is always non-spontaneous.**
**Reactions:**
a) \( \text{CH}_4(g) + 2\text{O}_2(g) \rightarrow 2\text{H}_2\text{O}(l) + \text{CO}_2(g) \) (endothermic)
b) \( 2\text{C}_2\text{H}_6(g) + 7\text{O}_2(g) \rightarrow 6\text{H}_2\text{O}(l) + 4\text{CO}_2(g) \) (exothermic)
### Detailed Explanation
**a) Endothermic Reaction:**
In the above reaction (a), methane (CH₄) reacts with oxygen (O₂) to form water (H₂O) and carbon dioxide (CO₂). Since this reaction is endothermic, it requires the absorption of heat. For an endothermic reaction, ΔH (change in enthalpy) is positive. Endothermic reactions are usually non-spontaneous because they need continuous energy input to proceed.
**b) Exothermic Reaction:**
In reaction (b), ethane (C₂H₆) reacts with oxygen (O₂) to yield water (H₂O) and carbon dioxide (CO₂). This is an exothermic reaction, meaning it releases heat into the surroundings. Here, ΔH is negative. However, even exothermic reactions can be non-spontaneous if the temperature conditions are not favorable. Reaction (b) is spontaneous only at low temperatures because low temperatures favor exothermic processes.
### Key Concepts
- **Spontaneity:** A spontaneous reaction occurs naturally under given conditions. It depends on the changes in enthalpy (ΔH) and entropy (ΔS) of the system, and the temperature (T) as per the Gibbs free energy formula:
\[ \Delta G = \Delta H - T\Delta S \]
A reaction is spontaneous if ΔG (change in Gibbs free energy) is negative.
- **Endothermic Reactions:** Typically require heat absorption from the surroundings. These reactions are often non-spontaneous because
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