Calculate A, H°, AS°, and AG for the reaction at 25 °C. Thermodynamic Data:

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**Fermentation of Glucose to Ethanol**

Yeast can produce ethanol by the fermentation of glucose (C₆H₁₂O₆), serving as the basis for the production of most alcoholic beverages. The chemical reaction for this process is:

\[ 
\text{C}_6\text{H}_{12}\text{O}_6(aq) \rightarrow 2 \text{C}_2\text{H}_5\text{OH}(l) + 2 \text{CO}_2(g) 
\]

### Calculate \( \Delta_r H^\circ \), \( \Delta_r S^\circ \), and \( \Delta_r G^\circ \) for the reaction at 25 °C.

**Thermodynamic Data:**

| Compound      | \( \Delta_f H^\circ \) (kJ/mol) | \( S^\circ \) (J/mol·K) | \( \Delta_f G^\circ \) (kJ/mol) |
|---------------|---------------------------------|--------------------------|--------------------------------|
| \( \text{C}_6\text{H}_{12}\text{O}_6(aq) \) | -1260.0                  | 289.0                        | -918.8                        |
| \( \text{C}_2\text{H}_5\text{OH}(l) \)     | -277.0                   | 160.7                        | -174.7                        |
| \( \text{CO}_2(g) \)                      | -393.509                 | 213.74                       | -394.359                      |

**Calculations:**

- \( \Delta_r H^\circ = \) (Fill in the value in kJ)
- \( \Delta_r S^\circ = \) (Fill in the value in J/K)
- \( \Delta_r G^\circ = \) (Fill in the value in kJ) 

These calculations will allow you to determine the enthalpy, entropy, and free energy changes for the reaction, providing insights into its thermodynamic feasibility.
Transcribed Image Text:**Fermentation of Glucose to Ethanol** Yeast can produce ethanol by the fermentation of glucose (C₆H₁₂O₆), serving as the basis for the production of most alcoholic beverages. The chemical reaction for this process is: \[ \text{C}_6\text{H}_{12}\text{O}_6(aq) \rightarrow 2 \text{C}_2\text{H}_5\text{OH}(l) + 2 \text{CO}_2(g) \] ### Calculate \( \Delta_r H^\circ \), \( \Delta_r S^\circ \), and \( \Delta_r G^\circ \) for the reaction at 25 °C. **Thermodynamic Data:** | Compound | \( \Delta_f H^\circ \) (kJ/mol) | \( S^\circ \) (J/mol·K) | \( \Delta_f G^\circ \) (kJ/mol) | |---------------|---------------------------------|--------------------------|--------------------------------| | \( \text{C}_6\text{H}_{12}\text{O}_6(aq) \) | -1260.0 | 289.0 | -918.8 | | \( \text{C}_2\text{H}_5\text{OH}(l) \) | -277.0 | 160.7 | -174.7 | | \( \text{CO}_2(g) \) | -393.509 | 213.74 | -394.359 | **Calculations:** - \( \Delta_r H^\circ = \) (Fill in the value in kJ) - \( \Delta_r S^\circ = \) (Fill in the value in J/K) - \( \Delta_r G^\circ = \) (Fill in the value in kJ) These calculations will allow you to determine the enthalpy, entropy, and free energy changes for the reaction, providing insights into its thermodynamic feasibility.
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