Consider the reaction: 6CO2 (g) + 6H₂O(l) → C6H12O6 + 602(g) Using standard thermodynamic data at 298 K, calculate the entropy change for the surroundings when 1.87 moles of CO₂ (g) react at standard conditions. ASO Substance AH (kJ/mol) CO₂(g) -393.5 H₂O(1) -285.8 C6H12O6 -1275.0 O2(g) 0.0 surroundings = J/K
Consider the reaction: 6CO2 (g) + 6H₂O(l) → C6H12O6 + 602(g) Using standard thermodynamic data at 298 K, calculate the entropy change for the surroundings when 1.87 moles of CO₂ (g) react at standard conditions. ASO Substance AH (kJ/mol) CO₂(g) -393.5 H₂O(1) -285.8 C6H12O6 -1275.0 O2(g) 0.0 surroundings = J/K
Chemistry
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Chapter1: Chemical Foundations
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![Consider the reaction:
\[ 6\text{CO}_2 (g) + 6\text{H}_2\text{O} (l) \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 (s) + 6\text{O}_2 (g) \]
Using standard thermodynamic data at 298 K, calculate the entropy change for the surroundings when 1.87 moles of \(\text{CO}_2 (g)\) react at standard conditions.
### Thermodynamic Data Table
| Substance | \(\Delta H_f^\circ\) (kJ/mol) |
|-----------|-------------------------------|
| \(\text{CO}_2 (g)\) | –393.5 |
| \(\text{H}_2\text{O} (l)\) | –285.8 |
| \(\text{C}_6\text{H}_{12}\text{O}_6 (s)\) | –1275.0 |
| \(\text{O}_2 (g)\) | 0.0 |
### Calculating Entropy Change
\[ \Delta S^\circ_{\text{surroundings}} = \underline{\hspace{1cm}} \, \text{J/K} \]
To calculate the entropy change for the surroundings, remember to use the formula:
\[ \Delta S_{\text{surroundings}} = - \frac{\Delta H_{\text{reaction}}}{T} \]
Where:
- \(\Delta H_{\text{reaction}}\) is the enthalpy change for the reaction,
- \(T\) is the temperature in Kelvin (298 K in this case).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F883e3e80-624e-4e0d-88a1-3570ac65b326%2Fe7f114b0-3405-4fee-ba6b-5c3c314f7f1e%2Fen7c0u_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the reaction:
\[ 6\text{CO}_2 (g) + 6\text{H}_2\text{O} (l) \rightarrow \text{C}_6\text{H}_{12}\text{O}_6 (s) + 6\text{O}_2 (g) \]
Using standard thermodynamic data at 298 K, calculate the entropy change for the surroundings when 1.87 moles of \(\text{CO}_2 (g)\) react at standard conditions.
### Thermodynamic Data Table
| Substance | \(\Delta H_f^\circ\) (kJ/mol) |
|-----------|-------------------------------|
| \(\text{CO}_2 (g)\) | –393.5 |
| \(\text{H}_2\text{O} (l)\) | –285.8 |
| \(\text{C}_6\text{H}_{12}\text{O}_6 (s)\) | –1275.0 |
| \(\text{O}_2 (g)\) | 0.0 |
### Calculating Entropy Change
\[ \Delta S^\circ_{\text{surroundings}} = \underline{\hspace{1cm}} \, \text{J/K} \]
To calculate the entropy change for the surroundings, remember to use the formula:
\[ \Delta S_{\text{surroundings}} = - \frac{\Delta H_{\text{reaction}}}{T} \]
Where:
- \(\Delta H_{\text{reaction}}\) is the enthalpy change for the reaction,
- \(T\) is the temperature in Kelvin (298 K in this case).
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