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Calculate the emf of the cell in mV (atl...

Calculate the emf of the cell in mV (atleast first two digits must match with correct answer)
`Ag(s),AgIO_(3)(s)|Ag^(+)(xM),HIO_(3)(1M)||Zn^(+2)(1M)|Zn(s)`
if `K_(sp)=3xx10^(-8)` for `AgIO_(3)` and `K_(a)=(1)/(6)` for `HIO_(3)` and `E_(cell)^(0)` for `2Ag+Zn^(+2)to2Ag^(+)+Zn` is `-1.56V`.
`log3=0.48)Take(PT)/(F)=0.059`) (giving your answer in magnitude only)

Text Solution

Verified by Experts

The correct Answer is:
1144
`K_(a)=(Calphal^(2))/(1-alpha)implies(1)/(6)=(alpha^(2))/(1-alpha)impliesalpha=(-1+-sqrt((1)^(2)+4xx6xx1))/(12)=(-1+-sqrt(1+24))/(12)=(1)/(3)`
`therefore[IO_(3)^(-)]=1xx(1)/(3)=(1)/(3)Mimplies[Ag^(+)]=(3xx10^(-8))/((1)/(3))=9xx10^(-8)M`
Now `2Ag+Zn^(+2)overset(2e^(-))to2Ag^(+)+Zn`
gives `E=-1.56+(0.059)/(2)log((1)/(9xx10^(-8))^(2))=-1.144V=-1144mV`
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