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The standard emf of the cell Fe|Fe2+(aq)||Cd2+(aq)|Cd is 0.0372 V and temperature coefficient of the cell is 1.25×104VK1. Which is/are correct about the cell (at 300 K)?

A
ΔG° = 7.18 kJ, ΔH° = 14.42 kJ
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B
ΔG° = 7.18 kJ, ΔH° = 57.50 J
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C
ΔG° = 7.18 kJ, ΔH° = 14.42 kJ
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D
ΔS° = 24.125 JK1, reaction is spontaneous
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Solution

The correct options are
C ΔG° = 7.18 kJ, ΔH° = 14.42 kJ
D ΔS° = 24.125 JK1, reaction is spontaneous
The standard emf of the cell
Fe|Fe2+(aq)||Cd2+(aq)|Cd
E°= 0.0372 V
ΔG°= nFE°=7.18 kJ
ΔS° = n×F×(ECellT)P
ΔS° = 2×96500×(1.25×104) =24.125 JK1
ΔG°=ΔH°TΔS°
7180=ΔH°300×(24.125)
ΔH°=14417.5 J


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