The emf of a standard Cd- cell is 1.018V at `25^@C`. The temperature coefficient of the cell is `-5.0 times 10^-5 Vk^-1`. Calculate `Delta G, Delta H and Delta S` for the cell reaction. Will the cell temperature change during operation?

Explanation

`Delta G=-nFE`
`=-2 times 96500 times 1.018 J mol e^-1 (Cd^(2+)+2e=Cd)`
`=-196.474 KJ mol e^-1`
`Delta S=nF ((delta E)/(delta T))_P`
`=2 times 96500 times (-5.0 times 10^-8)Jk^-1 mol e^-1`
`=-9.65 jK^-1 mol e^-1`
`Delta H= T Delta S+Delta S`
`=298 times (-9.65) +(-196474) J mol e^-1`
`=-199349 J mol e^-1`
`=-199.349 kJ mol e^-1`
The negative value of `Delta H` suggests that the cell temperature will increase during operation.