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A fuel cell involves combustion of butan...

A fuel cell involves combustion of butane at 1 atm and 298 K
`C_(4)H_(10 )(g)13/2 O_(2) (8)rarr 4CO_(2)(g)+5H_(2)0 (l), triangle G^(@)` = -2746 kJ/mol. What is `E^(@)` of a cell?

A

`+4.74V`

B

`+0.547V`

C

`+1.09V`

D

`+4.37V`

Text Solution

Verified by Experts

The correct Answer is:
C
In the reaction `overset(-10+10)(C_(4) H_(10(g))+ (13)/(2) O_(2) (g) rarr overset(+4-4)(4CO_(2(g)) + 5H_(2)O(l)`
Change in oxidation number of carbon `=+16-(-10) = +26`
`therefore` Number of electrons involved in cell process will be 26
`E^(@)= (-Delta G^(@))/(nF)= (-(-2746) xx 1000)/(26 xx 96500)= +1.09V`
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