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COMEDK · Chemistry · 18. Electrochemistry

The standard reduction potentials of \(\mathrm{Zn}\) and \(\mathrm{Ag}\) in water at \(298 \mathrm{~K}\) are,
\(\begin{aligned}
\mathrm{Zn}^{2+}+2 e^{-} \rightleftharpoons \mathrm{Zn}, & E^{\circ}=-0.76 \mathrm{~V} \\
\text { and } \quad \mathrm{Ag}^{+}+e^{-} \rightleftharpoons \mathrm{Ag} ; & E^{\circ}=+0.80 \mathrm{~V}.
\end{aligned}\)
Which of the following reactions take place?

  1. A \(\mathrm{Zn}^{2+}(a q)+2 \mathrm{Ag}(s) \longrightarrow 2 \mathrm{Ag}^{+}(a q)+\mathrm{Zn}(s)\)
  2. B \(\mathrm{Zn}(s)+2 \mathrm{Ag}^{+}(a q) \longrightarrow \mathrm{Zn}^{2+}(a q)+2 \mathrm{Ag}(s)\)
  3. C \(\mathrm{Zn}^{2+}(a q)+\mathrm{Ag}^{+}(a q) \longrightarrow \mathrm{Zn}(s)+\mathrm{Ag}(s)\)
  4. D \(\mathrm{Zn}(s)+\mathrm{Ag}(s) \longrightarrow \mathrm{Zn}^{2+}(a q)+\mathrm{Ag}^{+}(a q)\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{Zn}(s)+2 \mathrm{Ag}^{+}(a q) \longrightarrow \mathrm{Zn}^{2+}(a q)+2 \mathrm{Ag}(s)\)

Step-by-step Solution

Detailed explanation

For reaction to be spontaneous, \(E_{\text {cell }}^{\circ}>0\) For option (b), \[ \begin{aligned} E_{\text {cell }}^{o} &=\left(E_{\text {red }}^{0}\right)_{\text {Cathode }}-\left(E_{\text {red }}^{0}\right)_{\text {Anode }} \\ &=0.80-(-0.76)=156 \mathrm{~V} \end{aligned} \]…