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...
icon
Related questions
Question

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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Thermodynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY