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Consider the reaction fo extraction of g...

Consider the reaction fo extraction of gold from its ore
`Au +2CN^(-) (aq)+(1)/(4)O_(2) (g)+(1)/(2)H_(2)O rarr Au(CN)_(2)^(-) +OH^(-)`
Use the following data to calculate `DeltaG^(@)` for the reaction
`K_(f) [Au(CN)_(2)^(-)] = X`
`{:(O_(2)+2H_(2)O +4e^(-)rarr4OH^(-),:,E^(@) =+0.41 "volt"),(Au^(3+)+3e^(-)rarr Au,:,E^(@) = +1.5 "volt"),(Au^(3+)+2e^(-)rarr Au^(+),:,E^(@) =+1.4 "volt"):}`

A

`-Rt` In X+1.29F

B

-RT In X-2.11F

C

-RT In `1/X+2.11F`

D

-RT In X-1.29F
For the fuel cell reaction `2H_2(g)+O_2(g)to2H_2O(l)`
`/_\_fH_(298)^0(H_2O,1)=-285.5kJ//mol`
What is `/_\S_(298)^0` for the given fuel cell reaction ?
Given : `O_2(g)+4H^+(aq)to2H_2O(l)E^0=1.23V`

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The correct Answer is:
A
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