2Hg²+ (aq) + 2e Hg₂²+ (aq) + 2e¯ calculate AG Hg₂+ (aq) Mac Hg₂ 2+ (aq) 2Hg(1) = 0.92 V Eº = 0.85 V 0 for the following process at 25°C: Hg2+ (aq) + Hg(1) kJ/mol

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Chapter1: Chemical Foundations
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### Electrochemical Reactions and Gibbs Free Energy Calculation

#### Given Reactions:

1. \( 2 \text{Hg}^{2+} (\text{aq}) + 2 \text{e}^- \rightarrow \text{Hg}_2^{2+} (\text{aq}) \)
   - Standard electrode potential, \( E^\circ = 0.92 \, \text{V} \)

2. \( \text{Hg}_2^{2+} (\text{aq}) + 2 \text{e}^- \rightarrow 2 \text{Hg} (\text{l}) \)
   - Standard electrode potential, \( E^\circ = 0.85 \, \text{V} \)

### Task:

**Calculate \(\Delta G^\circ\) for the following process at 25°C:**

\[ \text{Hg}_2^{2+} (\text{aq}) \rightarrow \text{Hg}^{2+} (\text{aq}) + \text{Hg} (\text{l}) \]

### Explanation:

To calculate the Gibbs Free Energy (\(\Delta G^\circ\)), you will use the standard electrode potentials from the given half-reactions. Apply the formula:

\[ \Delta G^\circ = -nFE^\circ_{\text{cell}} \]

where:
- \( n \) is the number of moles of electrons transferred.
- \( F \) is the Faraday constant (approximately \( 96485 \, \text{C/mol} \)).
- \( E^\circ_{\text{cell}} \) is the standard cell potential, which can be calculated by combining the given electrode potentials.

**Note:** Enter your calculated \(\Delta G^\circ\) value in the box provided, in units of \(\text{kJ/mol}\). 

**Box: [ _____ ] kJ/mol**
Transcribed Image Text:### Electrochemical Reactions and Gibbs Free Energy Calculation #### Given Reactions: 1. \( 2 \text{Hg}^{2+} (\text{aq}) + 2 \text{e}^- \rightarrow \text{Hg}_2^{2+} (\text{aq}) \) - Standard electrode potential, \( E^\circ = 0.92 \, \text{V} \) 2. \( \text{Hg}_2^{2+} (\text{aq}) + 2 \text{e}^- \rightarrow 2 \text{Hg} (\text{l}) \) - Standard electrode potential, \( E^\circ = 0.85 \, \text{V} \) ### Task: **Calculate \(\Delta G^\circ\) for the following process at 25°C:** \[ \text{Hg}_2^{2+} (\text{aq}) \rightarrow \text{Hg}^{2+} (\text{aq}) + \text{Hg} (\text{l}) \] ### Explanation: To calculate the Gibbs Free Energy (\(\Delta G^\circ\)), you will use the standard electrode potentials from the given half-reactions. Apply the formula: \[ \Delta G^\circ = -nFE^\circ_{\text{cell}} \] where: - \( n \) is the number of moles of electrons transferred. - \( F \) is the Faraday constant (approximately \( 96485 \, \text{C/mol} \)). - \( E^\circ_{\text{cell}} \) is the standard cell potential, which can be calculated by combining the given electrode potentials. **Note:** Enter your calculated \(\Delta G^\circ\) value in the box provided, in units of \(\text{kJ/mol}\). **Box: [ _____ ] kJ/mol**
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