Consider a cell undergoing the reaction below at 298 K 2 Na (s) + Cd²+(aq) <=> 2 Na+ (aq) + Cd (s) When [Na] 0.0005 molal (y=0.974) and [Cd²+] = 0.2 molal (y 0.102), then Ecell =+2.45 V. What is Eº for the cell =

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**Electrochemical Cell Analysis at 298 K**

Consider a cell undergoing the reaction below at 298 K:

\[ 2 \text{Na (s)} + \text{Cd}^{2+} \text{(aq)} \leftrightarrows 2 \text{Na}^{+} \text{(aq)} + \text{Cd (s)} \]

When \([ \text{Na}^{+} ] = 0.0005 \text{ molal} \, (\gamma = 0.974)\) and \([ \text{Cd}^{2+} ] = 0.2 \text{ molal} \, (\gamma = 0.102)\), then \(\text{E}_{\text{cell}} = +2.45 \text{ V}\). What is \(\text{E}^\circ\) for the cell?

**Explanation**

- "Na" represents sodium, which in its solid form is a reactant.
- "Cd" is cadmium, with its ions present in aqueous solution in this reaction.
- \(\gamma\) represents the activity coefficient for each ion concentration.
- \(\text{E}_{\text{cell}}\) denotes the electromotive force (EMF) under the given conditions.
- The goal is to find \(\text{E}^\circ\), the standard cell potential.
Transcribed Image Text:**Electrochemical Cell Analysis at 298 K** Consider a cell undergoing the reaction below at 298 K: \[ 2 \text{Na (s)} + \text{Cd}^{2+} \text{(aq)} \leftrightarrows 2 \text{Na}^{+} \text{(aq)} + \text{Cd (s)} \] When \([ \text{Na}^{+} ] = 0.0005 \text{ molal} \, (\gamma = 0.974)\) and \([ \text{Cd}^{2+} ] = 0.2 \text{ molal} \, (\gamma = 0.102)\), then \(\text{E}_{\text{cell}} = +2.45 \text{ V}\). What is \(\text{E}^\circ\) for the cell? **Explanation** - "Na" represents sodium, which in its solid form is a reactant. - "Cd" is cadmium, with its ions present in aqueous solution in this reaction. - \(\gamma\) represents the activity coefficient for each ion concentration. - \(\text{E}_{\text{cell}}\) denotes the electromotive force (EMF) under the given conditions. - The goal is to find \(\text{E}^\circ\), the standard cell potential.
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