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MHT CET · Chemistry · Electrochemistry

Assume the cell reaction,
\(\mathrm{A}_{(\mathrm{s})}+\mathrm{B}_{(\mathrm{aq})}^{+2} \rightarrow \mathrm{~A}_{(\mathrm{aq})}^{+2}+\mathrm{B}_{(\mathrm{s})}\)
if \(\Delta \mathrm{G}^{\circ}=-386 \mathrm{~kJ}\) at 298 K . What is \(\mathrm{E}_{\text {cell }}^{\circ}\) ?

  1. A 1 V
  2. B 1.5 V
  3. C 2 V
  4. D \(2 \cdot 5 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(C) 2 V

Step-by-step Solution

Detailed explanation

\(n = 2\) \(E_{\text{cell}}^{\circ} = -\frac{\Delta G^{\circ}}{nF} = -\frac{-386 \times 10^3 \mathrm{~J}}{2 \times 96485 \mathrm{~C/mol}} = 2.00 \mathrm{~V}\)