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COMEDK · Chemistry · 18. Electrochemistry

Which of the following is always true about a spontaneous cell reaction in a galvanic cell?

  1. A \(E^o_{cell} = 0;\ \Delta G^o < 0;\ Q_C = K_C\)
  2. B \(E^o_{cell} < 0;\ \Delta G^o > 0;\ Q_C < K_C\)
  3. C \(E^o_{cell} > 0;\ \Delta G^o < 0;\ Q_C > K_C\)
  4. D \(E^o_{cell} > 0;\ \Delta G^o < 0;\ Q_C < K_C\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(E^o_{cell} > 0;\ \Delta G^o < 0;\ Q_C < K_C\)

Step-by-step Solution

Detailed explanation

For a spontaneous cell reaction, the change in Gibbs free energy must be negative, i.e., \(\Delta G 0\). Since \(\Delta G^o = -nFE^o_{cell}\), a positive \(E^o_{cell}\) implies that \(\Delta G^o 0\), \(\Delta G^o 0;\ \Delta G^o < 0;\ Q_C < K_C\)