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For the reactions {:(MnO(4)^(-)+8H^(+)...

For the reactions
`{:(MnO_(4)^(-)+8H^(+)+5e^(-)rarr Mn^(2+)4H_(2)O","E^(o) = + 1.51 V),(MnO_(2)+4H^(+)+ 2e^(-) rarr Mn^(2+)+2H_(2)O"," E^(o)= + 1.23 V ):}`
then for the reaction :
`MnO_(4)^(-) + 4H^(+) + 3e^(-) rarr MnO_(2)+2H_(2)O","E^(o)`

A

`x_(2)-x_(1)`

B

`x_(1)-x_(2)`

C

`(5x_(1)-2x_2)/3`

D

`(2x_(1)-5x_2)/3`

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaG_1^@=-5x_1F , " " DeltaG_2^@=-2x_2F`
`DeltaG_3^@=DeltaG_1^@-DeltaG_2^@ , " " DeltaG_3^@=2x_2F-5x_1F`
`therefore x=(5x_1-2x_2)/3`
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