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A cell, Ag|Ag^(o+)||Cu^(2+)|Cu , initial...

A cell, `Ag|Ag^(o+)||Cu^(2+)|Cu` , initially contains `1 M Ag^(o+)` and `1M Cu^(2+)` ions. Calculate the change in the cell the potential after the passage of `9.65A` of current for `1h.`

Text Solution

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Quantity of electricity passed passed=`9.65xx60xx60C=34740C`
`thereforeAg^(+)` ions deposited`=34740//96500" mole"=0.36` mole `(Ag^(+)+e^(-)toAg)`
`Cu^(2+)` ions deposited`=34740//(2xx96500)=0.18` mole `(Cu^(2+)+2e^(-)toCu)`
`therefore[Ag^(+)]"left"=1-0.36=0.64M`
`[Cu^(2+)]" left"=1-0.18=0.82M`
Cell reaction is: `Cu+2Ag^(+)toCu^(2+)+2Ag`
`DeltaE=E_(cell)^(@)=(0.0591)/(2)"log"([Cu^(2+)])/([Ag^(+)]^(2))=(0.0591)/(2)"log"(0.82)/((0.64)^(2))=8.89xx10^(-3)V`
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