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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

`-305 kJ//mol`

B

`-301 kJ//mol`

C

305 kJ/mol

D

`301 kJ//mol`

Text Solution

Verified by Experts

The correct Answer is:
B
Given that, `E^(@)Ag^(+)//Ag=+0.80V, E^(@)Zn^(2+)//Zn=-0.76V`
`E_(cell)^(@)=E_(R)^(@)-E_(L)^(@)=0.80-(-0.76)=1.56V`
From the equation `DeltaG^(@)=-nFE^(@)`
(where, F=96500, n=2)
=`-2xx96500xx1.56`
=-301080 J/mol=-301.080kJ/mol
`approx-301 kJ//mol`
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