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The specific conductivity of a saturated...

The specific conductivity of a saturated solution of `AgCI is 2.30 xx10^(-6) ohm^(-1) cm^(-1) at 25^(@)C` calculate the solubility of AgCI at `25^(@) if lambda_(ag^(+))=619 ohm^(-1) cm^(-2) and lambda_(Cr)=76.3 ohm^(-1)cm^(2) mol^(-1)`

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Let the solubility of AgCl be .s. gram mole per litre
`wedge_(AgCl)^(0)="specific conductivity " xx "dilution"`
`wedge_(AgCl)^(0)=lambda_(Ag)^(0)+lambda_(Cl)^(+)=61.9+76.3=136.2" mho cm"^(2_ mol^(1)`
Specific conductivity (AgCl) `=2.30 xx 10^(-6)`
Dilution (volume containing one mol)= `(1000)/(s)`
`138.2=2.30 xx 10^(-6) xx (1000)/(s)`
`s=(2.303 xx 10^(-3))/(138.2) =1.66 xx 10^(-5) "mol/L"`
`=1.66 xx 10^(-5) xx 143.5"gm/L"`
`=2.382 xx 10^(-3) "gm L"^(-1)`
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