Determine E, AG, and K for the overall reaction from the balanced half-reactions and their standard reduction potentials. 2 Co³+ + H₂ AsO3 + H₂O = 2 Co²+ + H₂AsO4 + 2H+ Co³+ + e Co²+ E° = 1.92 V H₂ AsO4 + 2H+ + 2e¯ = H₂AsO3 + H₂O E = 0.575 V 1.345 K = 3.28 X1045 Is the overall reaction spontaneous as written? not spontaneous spontaneous E = AG = -25985 Incorrect V J
Determine E, AG, and K for the overall reaction from the balanced half-reactions and their standard reduction potentials. 2 Co³+ + H₂ AsO3 + H₂O = 2 Co²+ + H₂AsO4 + 2H+ Co³+ + e Co²+ E° = 1.92 V H₂ AsO4 + 2H+ + 2e¯ = H₂AsO3 + H₂O E = 0.575 V 1.345 K = 3.28 X1045 Is the overall reaction spontaneous as written? not spontaneous spontaneous E = AG = -25985 Incorrect V J
Chemistry
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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
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![### Determining E°, ΔG°, and K for the Overall Reaction
From the balanced half-reactions and their standard reduction potentials, we need to determine \( E^\circ \), \( \Delta G^\circ \), and \( K \) for the overall reaction.
**Given overall reaction:**
\[ 2 \text{Co}^{3+} + \text{H}_3\text{AsO}_3 + \text{H}_2\text{O} \rightleftharpoons 2 \text{Co}^{2+} + \text{H}_3\text{AsO}_4 + 2 \text{H}^+ \]
**Half-reactions and their standard reduction potentials:**
Reduction half-reaction:
\[ \text{Co}^{3+} + e^- \rightleftharpoons \text{Co}^{2+} \quad E^\circ = 1.92 \, \text{V} \]
Oxidation half-reaction:
\[ \text{H}_3\text{AsO}_4 + 2 \text{H}^+ + 2 e^- \rightleftharpoons \text{H}_3\text{AsO}_3 + \text{H}_2\text{O} \quad E^\circ = 0.575 \, \text{V} \]
### Calculations and Results
The determinations are provided as:
1. **Standard Electrode Potential (\(E^\circ\))**:
\[
E^\circ = 1.345 \, \text{V}
\]
2. **Equilibrium Constant (\(K\))**:
\[
K = 3.28 \times 10^{45}
\]
3. **Gibbs Free Energy (\(\Delta G^\circ\))**:
The provided value is:
\[
\Delta G^\circ = -25985 \, \text{J}
\]
(Note: This value is marked as incorrect.)
### Reaction Spontaneity
- **Is the overall reaction spontaneous as written?**
- **Answer:** \(\large{\text{spontaneous}}\)
### Visual Explanation
No graphs or diagrams are included in the given image.
This information provides the standard reduction potentials for the half-reactions involved and calculates the overall reaction metrics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f33cc2f-0221-41a8-a3a2-cc96bc7960a2%2Ffaedf1e2-f174-42f8-ae37-176c4a6426c2%2F1dyag1v_processed.png&w=3840&q=75)
Transcribed Image Text:### Determining E°, ΔG°, and K for the Overall Reaction
From the balanced half-reactions and their standard reduction potentials, we need to determine \( E^\circ \), \( \Delta G^\circ \), and \( K \) for the overall reaction.
**Given overall reaction:**
\[ 2 \text{Co}^{3+} + \text{H}_3\text{AsO}_3 + \text{H}_2\text{O} \rightleftharpoons 2 \text{Co}^{2+} + \text{H}_3\text{AsO}_4 + 2 \text{H}^+ \]
**Half-reactions and their standard reduction potentials:**
Reduction half-reaction:
\[ \text{Co}^{3+} + e^- \rightleftharpoons \text{Co}^{2+} \quad E^\circ = 1.92 \, \text{V} \]
Oxidation half-reaction:
\[ \text{H}_3\text{AsO}_4 + 2 \text{H}^+ + 2 e^- \rightleftharpoons \text{H}_3\text{AsO}_3 + \text{H}_2\text{O} \quad E^\circ = 0.575 \, \text{V} \]
### Calculations and Results
The determinations are provided as:
1. **Standard Electrode Potential (\(E^\circ\))**:
\[
E^\circ = 1.345 \, \text{V}
\]
2. **Equilibrium Constant (\(K\))**:
\[
K = 3.28 \times 10^{45}
\]
3. **Gibbs Free Energy (\(\Delta G^\circ\))**:
The provided value is:
\[
\Delta G^\circ = -25985 \, \text{J}
\]
(Note: This value is marked as incorrect.)
### Reaction Spontaneity
- **Is the overall reaction spontaneous as written?**
- **Answer:** \(\large{\text{spontaneous}}\)
### Visual Explanation
No graphs or diagrams are included in the given image.
This information provides the standard reduction potentials for the half-reactions involved and calculates the overall reaction metrics.
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