Question

# The standard emf of the cell Fe|Fe2+(aq)||Cd2+(aq)|Cd is 0.0372 V and temperature coefficient of the cell is −1.25×10−4VK−1. 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 option is D ΔS° = −24.125 JK−1, reaction is spontaneousThe standard emf of the cell Fe|Fe2+(aq)||Cd2+(aq)|Cd E°= 0.0372 V ΔG°= −nFE°=−7.18 kJ ΔS° = n×F×(∂ECell∂T)P ΔS° = 2×96500×(−1.25×10−4) =−24.125 JK−1 ΔG°=ΔH°−TΔS° −7180=−ΔH°−300×(−24.125) ΔH°=−14417.5 J

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