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MHT CET · Chemistry · Electrochemistry

Calculate \(\Delta \mathrm{G}^{\circ}\) for the reaction \(\mathrm{Mg}_{(s)}+\mathrm{Sn}_{(\mathrm{aq})}^{++} \longrightarrow \mathrm{Mg}_{(\mathrm{mq})}^{++}+\mathrm{Sn}_{(s)}\) if \(\mathrm{E}_{\text {cell }}^0\) is \(2.23 \mathrm{~V}\).

  1. A \(-430.4 \mathrm{~kJ}\)
  2. B \(215.2 \mathrm{~kJ}\)
  3. C \(645.6 \mathrm{~kJ}\)
  4. D \(-860.8 \mathrm{~kJ}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(-430.4 \mathrm{~kJ}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} \Delta \mathrm{G}^{\circ} & =-\mathrm{nFE}_{\text {cell }}^{\circ} \\ & =-2 \times 96500 \times 2.23 \\ & =-430390 \mathrm{~J} \\ & =-430.4 \mathrm{~kJ}\end{aligned}\)