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Calculate the useful work of the reactio...

Calculate the useful work of the reaction Ag(s)+`1//2Cl_2(g)to AgCl(s)`
Given `E_(C l^(-)//C l^(-))^(@)=+1.36 V, E_(Ag|AgCl|Cl^(-))^(@)=0.22 V`
If `P_(Cl_(2))`=1 atm and T=298 K

A

110 kJ/mol

B

`220 "kJ"//"mol"`

C

`55 "kJ"//"mol"`

D

`1000 "kJ"//"mol"`

Text Solution

Verified by Experts

The correct Answer is:
A
`(1) AgCl(s)+e toAg(s)+Cl^(-) " " E^@=0.22 V`
`(2)1//2Cl_2+e to Cl^(-) " " E^@=1.36 V`
we get
`Ag(s) + 1//2 Cl_2(g) to AgCl(s) " " E_("cell")^@=0.14 V`
`therefore DeltaG=-nEF^@=-(1)(96500)(1.14)=-110` kJ/mol
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