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Calculate Delta G^(@) for the following ...

Calculate `Delta G^(@)` for the following cell reaction.
`Zn_((s)) + Ag_(2)O_((s)) + H_(2)O((I)) to Zn_(aq)^(2+) + 2Ag(s) + 2OH_((aq))^(-)`
`E_((Ag^(+))/(Ag))^(@) =+0.80V` and`E_((Zn^(2+))/(Zn)) ^(@)=-0.76V`

A

`-3.5 kJ//mol`

B

`-301 kJ//mol`

C

`305 kJ//mol`

D

`301 kJ//mol`

Text Solution

Verified by Experts

The correct Answer is:
B
`E^(@)_(cell)=E_(R)^(0)- E_(L)^(0)= E_((Ag^(+))/(Ag)) E_((Zn^(2+))/(Zn))= 0.80 -(- 0.76) = 1.56`
`Zn to Zn^(2+) + 2e^(-) (n = 2), F = 96500 C`
`Delta G = -nFE^@`
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