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AP Chemistry
9.9 Cell Potential and Free Energy
9.8 Galvanic (Voltaic) and Electrolytic Cells
IntermediateMCQMathematicalConceptual18.2k
A student constructs three separate galvanic cells at \(298\text{ K}\) under standard conditions using strips of three hypothetical transition metals, \(\text{M}_1\), \(\text{M}_2\), and \(\text{M}_3\), each immersed in a \(1.0\text{ M}\) aqueous solution of its corresponding nitrate salt, \(\text{M(NO}_3)_2\text{(aq)}\).

Standard Reduction Half-Reaction\(E^\circ\text{ (V)}\)
\(\text{M}_1^{2+}\text{(aq)} + 2\,e^- \rightarrow \text{M}_1\text{(s)}\)\(-0.76\)
\(\text{M}_2^{2+}\text{(aq)} + 2\,e^- \rightarrow \text{M}_2\text{(s)}\)\(-0.16\)
\(\text{M}_3^{2+}\text{(aq)} + 2\,e^- \rightarrow \text{M}_3\text{(s)}\)\(+0.34\)

The three galvanic cells are assembled as shown in the table below.

CellAnode Half-CellCathode Half-Cell
Cell 1\(\text{M}_1\text{(s)} \mid \text{M}_1^{2+}\text{(aq)}\)\(\text{M}_2^{2+}\text{(aq)} \mid \text{M}_2\text{(s)}\)
Cell 2\(\text{M}_2\text{(s)} \mid \text{M}_2^{2+}\text{(aq)}\)\(\text{M}_3^{2+}\text{(aq)} \mid \text{M}_3\text{(s)}\)
Cell 3\(\text{M}_1\text{(s)} \mid \text{M}_1^{2+}\text{(aq)}\)\(\text{M}_3^{2+}\text{(aq)} \mid \text{M}_3\text{(s)}\)

Which of the following correctly ranks the standard cell potential, \(E^\circ_{\text{cell}}\), of the three galvanic cells from greatest to least?

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