Questions: A galvanic cell is powered by the following redox reaction: Zn^2+(aq) + H2(g) + 2 OH^-(aq) → Zn(s) + 2 H2O(l) Answer the following questions about this cell. If you need any electrochemical data, be sure you get it from the ALEKS Data tab. Write a balanced equation for the half-reaction that takes place at the cathode.

A galvanic cell is powered by the following redox reaction:
Zn^2+(aq) + H2(g) + 2 OH^-(aq) → Zn(s) + 2 H2O(l)

Answer the following questions about this cell. If you need any electrochemical data, be sure you get it from the ALEKS Data tab.
Write a balanced equation for the half-reaction that takes place at the cathode.
Transcript text: A galvanic cell is powered by the following redox reaction: \[ \mathrm{Zn}^{2+}(a q)+\mathrm{H}_{2}(g)+2 \mathrm{OH}^{-}(a q) \rightarrow \mathrm{Zn}(s)+2 \mathrm{H}_{2} \mathrm{O}(l) \] Answer the following questions about this cell. If you need any electrochemical data, be sure you get it from the ALEKS Data tab. \begin{tabular}{|l|l|} \hline \begin{tabular}{l} Write a balanced equation for \\ the half-reaction that takes \\ place at the cathode. \end{tabular} & \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Identify the Redox Reaction Components

The given redox reaction is: \[ \mathrm{Zn}^{2+}(aq) + \mathrm{H}_{2}(g) + 2 \mathrm{OH}^{-}(aq) \rightarrow \mathrm{Zn}(s) + 2 \mathrm{H}_{2} \mathrm{O}(l) \]

In a galvanic cell, the cathode is where the reduction occurs. We need to identify which species is being reduced.

Step 2: Determine the Reduction Half-Reaction

In the given reaction, the species that can undergo reduction is \(\mathrm{Zn}^{2+}(aq)\), which is reduced to \(\mathrm{Zn}(s)\).

The reduction half-reaction is: \[ \mathrm{Zn}^{2+}(aq) + 2e^- \rightarrow \mathrm{Zn}(s) \]

Final Answer

The balanced equation for the half-reaction that takes place at the cathode is: \[ \boxed{\mathrm{Zn}^{2+}(aq) + 2e^- \rightarrow \mathrm{Zn}(s)} \]

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