AP Chemistry
9.9 Cell Potential and Free Energy
9.8 Galvanic (Voltaic) and Electrolytic Cells
A student investigates the standard cell potential of an electrochemical cell involving iron and silver species. The standard reduction potentials for the relevant half-reactions at \(298\text{ K}\) are shown in the table below.
Based on the data, what is the value of \(E^\circ_{\text{cell}}\) for the thermodynamically favored reaction between \(\text{Fe}^{2+}\text{(aq)}\) and \(\text{Ag}^+\text{(aq)}\) under standard conditions at \(298\text{ K}\)?
| Half-reaction | \(E^\circ\text{ (V)}\) |
|---|---|
| \(\text{Fe}^{3+}\text{(aq)} + \text{e}^- \rightarrow \text{Fe}^{2+}\text{(aq)}\) | \(+0.77\) |
| \(\text{Ag}^+\text{(aq)} + \text{e}^- \rightarrow \text{Ag(s)}\) | \(+0.80\) |
Based on the data, what is the value of \(E^\circ_{\text{cell}}\) for the thermodynamically favored reaction between \(\text{Fe}^{2+}\text{(aq)}\) and \(\text{Ag}^+\text{(aq)}\) under standard conditions at \(298\text{ K}\)?
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