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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`
If the cell voltage is `1.23V` for the `H_(2)-O_(2)` fuel cell and for the half cell `:`

A

`9.5 %`

B

`89%`

C

`83 %`

D

`95%`

Text Solution

Verified by Experts

The correct Answer is:
C

Thermodynamic efficiency
`= (Delta G)/(Delta H) = (-n FE)/(Delta H)`
`= (-2 xx 96500 xx 1.23)/(-285.8 xx 10^(3))`
`= 0.83 or 83 %`
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The overall reactions of a hydrogen -oxygen fuel cell is