The combustion of butane in `O_(2)` at 1 bar and `298K` shows a decrease in free energy equal to `2.95xx10^(3)kJ mol ^(-1)` in a fuel cell. `K` and `E^(c-)` of the fuel cell are

Options

A. `9.55xx10^(482),1.096V`
B. `9.55,1.096V`
C. `1.023xx10^(966),2.85V`
D. `5.5xx10^(484),0.55V`

Answer

a

Explanation

`DeltaG=DeltaG^(c-)=-2.75xx10^(6)J mol^(-1)(` as `P=1bar` and `T=298K)`
`-DeltaG^(c-)=nE^(c-)F`
`E^(c-)=(2.75xx10^(6))/(26xx96500)`
`[underset(4x=-10,n=26)(C_(4)H_(10)+(13)/(2)O_(2))rarrunderset(4x=16)(4CO_(2)+5H_(2)O)]`
`E^(c-)=1.096V`
Also, `E^(c-)=(0.059)/(n)logK_(p)implies1.096=(0.059)/(26)logK_(p)`
`K_(p)=9.55xx10^(482)`