4. Using the thermodynamic information at 25.0°C provided answer the questions below. 2Al(s) + 6H*(aq) → 2Al³+ (aq) + 3H₂(g) S'(J/mol K) Substance AH (kJ/mol) 28.3 Al(s) 0 0 H*(aq) 0 -321.7 -531.0 Al³+ (aq), H₂(g) 130.7 0 2. Determine the enthalpy in kJ/mol. b. Determine the entropy in J/molk. C. Determine the entropy of the universe in J/molk. d. Determine the Free Gibbs Energy in kj/mol. e. Determine the Ecell in volts. f. Will this reaction be spontaneous at 25.0°C? Use your answers from parts c, d, and e for support.
4. Using the thermodynamic information at 25.0°C provided answer the questions below. 2Al(s) + 6H*(aq) → 2Al³+ (aq) + 3H₂(g) S'(J/mol K) Substance AH (kJ/mol) 28.3 Al(s) 0 0 H*(aq) 0 -321.7 -531.0 Al³+ (aq), H₂(g) 130.7 0 2. Determine the enthalpy in kJ/mol. b. Determine the entropy in J/molk. C. Determine the entropy of the universe in J/molk. d. Determine the Free Gibbs Energy in kj/mol. e. Determine the Ecell in volts. f. Will this reaction be spontaneous at 25.0°C? Use your answers from parts c, d, and e for support.
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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Need help with only d,e and f
![### Thermodynamic Analysis of the Reaction: 2Al(s) + 6H⁺(aq) → 2Al³⁺(aq) + 3H₂(g)
#### Given Data (at 25.0°C):
| Substance | ΔHf° (kJ/mol) | S° (J/mol·K) |
|-----------|---------------|--------------|
| Al(s) | 0 | 28.3 |
| H⁺(aq) | 0 | 0 |
| Al³⁺(aq) |-531.0 |-321.7 |
| H₂(g) | 0 | 130.7 |
#### Questions:
1. **Determine the enthalpy in kJ/mol.**
2. **Determine the entropy in J/mol·K.**
3. **Determine the entropy of the universe in J/mol·K.**
4. **Determine the Free Gibbs Energy in kJ/mol.**
5. **Determine the E°cell in volts.**
6. **Will this reaction be spontaneous at 25.0°C? Use your answers from parts c, d, and e for support.**
### Explanation of the Table:
The table provides the standard enthalpy of formation (ΔHf°) and the standard molar entropy (S°) for each of the substances involved in the reaction.
- ΔHf° values indicate the change in enthalpy when 1 mole of a compound is formed from its elements in their standard states.
- S° values represent the absolute entropy of 1 mole of a substance at standard conditions (298 K, 1 atm).
### Detailed Explanation of Questions:
1. **Enthalpy Calculation**:
Use the ΔHf° values and the stoichiometry of the reaction to find the reaction enthalpy (ΔH).
\[
\Delta H = [2 \cdot (-531.0) + 3 \cdot 0] - [2 \cdot 0 + 6 \cdot 0] = -1062 \text{ kJ/mol}
\]
2. **Entropy Calculation**:
Use the S° values and the stoichiometry of the reaction to find the change in reaction entropy (ΔS).
\[
\Delta S = [2 \cdot (-321](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd86e2176-2b92-4a94-a128-f6a0aba0ae4d%2F559cbb6c-2a3b-4135-b7f2-a4035590add8%2Fa2177op_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Thermodynamic Analysis of the Reaction: 2Al(s) + 6H⁺(aq) → 2Al³⁺(aq) + 3H₂(g)
#### Given Data (at 25.0°C):
| Substance | ΔHf° (kJ/mol) | S° (J/mol·K) |
|-----------|---------------|--------------|
| Al(s) | 0 | 28.3 |
| H⁺(aq) | 0 | 0 |
| Al³⁺(aq) |-531.0 |-321.7 |
| H₂(g) | 0 | 130.7 |
#### Questions:
1. **Determine the enthalpy in kJ/mol.**
2. **Determine the entropy in J/mol·K.**
3. **Determine the entropy of the universe in J/mol·K.**
4. **Determine the Free Gibbs Energy in kJ/mol.**
5. **Determine the E°cell in volts.**
6. **Will this reaction be spontaneous at 25.0°C? Use your answers from parts c, d, and e for support.**
### Explanation of the Table:
The table provides the standard enthalpy of formation (ΔHf°) and the standard molar entropy (S°) for each of the substances involved in the reaction.
- ΔHf° values indicate the change in enthalpy when 1 mole of a compound is formed from its elements in their standard states.
- S° values represent the absolute entropy of 1 mole of a substance at standard conditions (298 K, 1 atm).
### Detailed Explanation of Questions:
1. **Enthalpy Calculation**:
Use the ΔHf° values and the stoichiometry of the reaction to find the reaction enthalpy (ΔH).
\[
\Delta H = [2 \cdot (-531.0) + 3 \cdot 0] - [2 \cdot 0 + 6 \cdot 0] = -1062 \text{ kJ/mol}
\]
2. **Entropy Calculation**:
Use the S° values and the stoichiometry of the reaction to find the change in reaction entropy (ΔS).
\[
\Delta S = [2 \cdot (-321
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