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A fuel cell develops an electrical poten...

A fuel cell develops an electrical potential from the combustion of butane at 1 bar and 298 K
`C_4H_(10)(g)+6.5O_2(g)to4CO_2(g)+5H_2O(l), /_\_rG^(@)=-2746kJ//mol`
what is `E^(@)` of a cell?

A

`4.74 V`

B

`0.547 V `

C

`4.37 V `

D

`1.09 V `

Text Solution

Verified by Experts

The correct Answer is:
D

To find n we break the cell reaction into two half cell reactions .
Anode : `13 H_(2) O (l) to 6.5 O_(2) (g) + 26 H^(+) (aq) + 26 e^(-)`
Cathode : `4CO_(2) (g) + 26 H^(+) (aq) + 26 e^- to C_(4) H_(10) (g) + 8 H_(2) O (l)`
`E^(@) = - (Delta G^(@))/(nF) = - ((-2746) xx 1000)/(26 xx 96500) = 1.09 V`
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