AP Chemistry
9.9 Cell Potential and Free Energy
9.5 Free Energy and Equilibrium
9.3 Gibbs Free Energy and Thermodynamic Favorability
A galvanic cell operates at \(298\text{ K}\) according to the overall reaction represented below.
\[ \text{Sn(s)} + 2\,\text{Ag}^+\text{(aq)} \rightleftharpoons \text{Sn}^{2+}\text{(aq)} + 2\,\text{Ag(s)} \]
The standard reduction potentials for the relevant half-reactions are given in the table.
Which of the following correctly identifies the sign of \(\Delta G^\circ\) and the magnitude of the equilibrium constant, \(K\), for the overall reaction at \(298\text{ K}\)?
\[ \text{Sn(s)} + 2\,\text{Ag}^+\text{(aq)} \rightleftharpoons \text{Sn}^{2+}\text{(aq)} + 2\,\text{Ag(s)} \]
The standard reduction potentials for the relevant half-reactions are given in the table.
| Half-Reaction | \(E^\circ\text{ (V)}\) |
|---|---|
| \(\text{Ag}^+\text{(aq)} + e^- \rightarrow \text{Ag(s)}\) | \(+0.80\) |
| \(\text{Sn}^{2+}\text{(aq)} + 2\,e^- \rightarrow \text{Sn(s)}\) | \(-0.14\) |
Which of the following correctly identifies the sign of \(\Delta G^\circ\) and the magnitude of the equilibrium constant, \(K\), for the overall reaction at \(298\text{ K}\)?
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