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`,.

Options

A. `-45.32 EU`
B. `-34.52 EU`
C. `-25.43 EU`
D. `-54.23 EU`

Answer

D

Explanation

`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`