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Find the solubility product of a saturat...

Find the solubility product of a saturated solution of `Ag_(2)CrO_(4)` in water at `298K`, if the `EMF` of the cell `:`
`Ag|Ag^(o+)(satAg_(2)CrO_(4)sol)||Ag(0.1M)|Agis 0.164V` at `298K`.

Text Solution

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`E_("cell") = 0.164 = 0.059 "log" [Ag^+]_("cath")//[Ag^+]_("anod")`
`"log" ([Ag^+]_("cath"))/([Ag^+]_("anod")) = (0.164)/(0.059) = 2.78 = "log" (0.1)/([Ag^+]_("anod"))`
`[Ag^+]_("anod") = [Ag^+]` from saturated solution of `Ag_(2)CrO_(4) = (1.66 xx 10^(-4))^(2) (1.66 xx 10^(-4)//2) = 2.28 xx 10^(-12) mol^(3) "lit"^(-3)`.
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