For the reaction,
`2Cr_((s))+3Cu_((aq.))^(2+)hArr 3Cr_((aq.))^(3+)+3Cu_((s))`
`E^(@) = 1.08 V` , the equilibrium constant and standard free energy change at `300 K` for the redox change are :

Options

A. `312.66 kJ, 1.35 xx 10^(105)`
B. `312.66 kJ, 1.37 xx 10^(109)`
C. `312.66 kJ, 1.37 xx 10^(107)`
D. `625.32 kJ, 7.27 xx 10^(108)`

Answer

D

Explanation

`-DeltaG^(@) = 2.303RT logK`
and `-DeltaG^(@) = nE^(@)F`
`= 6 xx 1.08 xx 96500`
`= 6.2532 xx 10^(5)J`
`= 625.32kJ`
`6.2532 xx 10^(5) = 2.303 xx 8.214 xx 300logK`
`:. K = 7.27 xx 10^(108)`