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

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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.
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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