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The potential of the Daniell cell, Zn|...

The potential of the Daniell cell,
`Zn|(ZnSO_4),((1M))||(CuSO_4),((1M))|Cu` was reported by Buckbee, Surdzial, and Metz at `E^@ = 1 . 1028 - 0. 41 xx 10^(-3) T + 0. 72 xx 10^(-5) T^2` where T is the Celsius temperature. Calculate `Delta S^@` for the cell reaction at `235^@ C`,.

A

`-45.32 EU`

B

`-34.52 EU`

C

`-25.43 EU`

D

`-54.23 EU`

Text Solution

Verified by Experts

The correct Answer is:
D
`DeltaG =- nFE^(@) = DeltaH^(@) - nF (dE)/(dT) = 0 - DeltaS^(@)`
`nF (dE)/(dT) = DeltaS^(@)` .....(i)
`E^(@) = 1.1028 - 0.641 xx 10^(-3)T + 0.72 xx 10^(-5) T^(2)`
`(dT)/(dT) =- 0.641 xx 10^(-3) +1.44 xx 10^(-5)T`
at `25^(@)C` ltbr. `(dE)/(dT) = 3.6502 xx 10^(-3)`
from eq.(i)
`2 xx F xx 3.6502 = DeltaS^(@) DeltaS^(@) =- 54.23 EU`
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