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Fuel cells : Fuel cells are galvanic cel...

Fuel cells `:` Fuel cells are galvanic cells in which the chemical energy of fuel cell is directly converted into electrical energy. A type of fuel cell is a hydrogen `-` oxygen fuel cell. It consists of two electrodes made up of two porous graphite impregnated with a catalyst `(` platinum, silver, or metal oxide `).` The electrodes are placed in aqueous solution of `NaOH` . Oxygen and hydrogen are continuously fed into the cell. Hydrogen gets oxidized to `H^(o+)` which is neutralized by `overset(c-)(O)H, i.e.,` anodic reaction.

At cathode, `O_(2)` gets reduced to `overset(c-)(O)H`
Hence, the net reaction is
The overall reaction has
`DeltaH=-285.6 kJ mol^(-1)` and `DeltaG=-237.4 kJ mol^(-1)` at `25^(@)C`
What is the value of `DeltaS^(c-)` for the fuel cell at `25^(@)C`?

A

`1944 JK^(-1)`

B

`-163 JK^(-1)`

C

`-1630 JK^(-1)`

D

`1.944 JK^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B

`Delta G = Delta H- T Delta S`
or `Delta S = (Delta H - Delta G)/(T)`
`= (-258.8 - (-237.2))/(298) = (-48.6)/(298)`
`=- 0.163 kJ K^(-1) mol^(-1)`
`= -163 J K^(-1) mol^(-1)`
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The overall reactions of a hydrogen -oxygen fuel cell is