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AP EAMCET · Chemistry · Electrochemistry

For the cell reaction, \(3 \mathrm{Sn}^{4+}+2 \mathrm{Cr} \longrightarrow 3 \mathrm{Sn}^{2+}+2 \mathrm{Cr}^{3+}, E_{\text {cell }}^{\circ}\) is \(0.89 \mathrm{~V}\). Then \(\Delta G^{\circ}\) for the reaction is

  1. A \(-515.31 \mathrm{~kJ} / \mathrm{mol}\)
  2. B \(-125.41 \mathrm{~kJ} / \mathrm{mol}\)
  3. C \(-457.41 \mathrm{~kJ} / \mathrm{mol}\)
  4. D \(-347.40 \mathrm{~kJ} / \mathrm{mol}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(-515.31 \mathrm{~kJ} / \mathrm{mol}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} \Delta G^{\circ} & =-n F E_{\text {cell }}^{\circ} \\ & =-6 \times 96500 \times 0.89 \times 10^{-3} \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & =-515.31 \mathrm{~kJ} \mathrm{~mol}^{-1} \end{aligned}\)