Concept:A cell reaction is spontaneous when its standard cell potential
Ecell∘ is positive, and non-spontaneous when it is negative.
Explanation:Use the formula
Ecell∘=Ecathode∘−Eanode∘.
In option A,
Fe2+ is reduced at the cathode and
Ag is oxidised at the anode.
So
Ecell∘=(−0.44)−(+0.79)=−1.23 V.
Since
Ecell∘<0, option A is non-spontaneous.
Check the other options for confirmation:
Option B:
Ecell∘=0.34−(−1.66)=+2.00 V.
Option C:
Ecell∘=0.34−(−0.44)=+0.78 V.
Option D:
Ecell∘=−0.44−(−1.66)=+1.22 V.
All three are positive, so they are spontaneous.
Remember that stoichiometric coefficients do not change the electrode potential values.
Answer:The non-spontaneous reaction is given in Option A.