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Calculate E(cell) of Pt(s)|{:(cl(2)(g)),...

Calculate `E_(cell)` of `Pt(s)|{:(cl_(2)(g)),(0.1atm):}|{:(Cl^(-)(aq)),(10^(-2)M):}||{:(Cr_(2)O_(7)^(2-),Cr^(+3)("in" H_(2)SO_(4))=0.05M),(0.01M,0.1M):}|`
given that `E_(Cr_(2)O_(7)^(2-)//Cr^(+3))^(0)=1.33V`
`E^(0)Cl^(-)|Cl_(2)=-1.36V`

Text Solution

Verified by Experts

`6e^(-)+14H^(+)+Cr_(2)O_(7)^(2-)to2Cr^(+3)+7H_(2)O`
`[2Cl^(-)toCl_(2)+2e^(-)]xx3`
`14H^(+)+6Cl^(-)+Cr_(2)O_(7)^(2-)to3Cl_(2)+2Cr^(+3)+7H_(2)O`
`E_(cell)^(0)=1.33-(+1.36)=-0.03`
`E_(cell)=-0.03-(0.059)/(6)log(([Cr^(3+)]^(2)[P_(Cl_(2))]^(3))/([H^(+)]^(14)[Cl^(-)]^(6)[Cr_(2)O_(6)^(2-)]))=-0.03-(0.059xx23)/(6)`
`E_(cell)=-0.26V`
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