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MHT CET · Chemistry · Electrochemistry

The standard reduction potential for \(\mathrm{Mg}^{2+} / \mathrm{Mg}\) is \(-2.37 \mathrm{~V}\) and for \(\mathrm{Cu}^{2+} / \mathrm{Cu}\) is \(0.337\). The \(E_{\text {cell }}^{\circ}\) for the following reaction is \(\mathrm{Mg}+\mathrm{Cu}^{2+} \longrightarrow \mathrm{Mg}^{2+}+\mathrm{Cu}\)

  1. A \(+2.03 \mathrm{~V}\)
  2. B \(-2.03 \mathrm{~V}\)
  3. C \(-2.7 \mathrm{~V}\)
  4. D \(+2.7 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(+2.7 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\(E_{\text {cell }}^{\circ}=E_{\text {cathode }}^{\circ}-E_{\text {anode }}^{\circ}\)
\(
\begin{aligned}
=E_{\left(\mathrm{Cu}^{2+} / \mathrm{Cu}\right)}^{\circ}-E_{\left(\mathrm{Mg}^{2+} / \mathrm{Mg}\right)}^{\circ} &=0.337-(-2.37) \mathrm{V} \\
&=2.7 \mathrm{~V}
\end{aligned}
\)