Question 13 Marks
Conductivity of saturated solution of $BaSO _4$ at 315 K is $3.648 \times 10^{-6} ohm ^{-1} cm^{-1}$ and that of water is $1.25 \times$ $10^{-6} ohm ^{-1} cm^{-1}$. Ionic conductance of $Ba ^{2+}$ and $SO _4^{2-}$ are $110$ and $136.6 ohm ^{-1} cm^2 mol^{-1}$ respectively. Calculate the solubility of $BaSO _4$ in $g / L$.
Answer
View full question & answer→$\Lambda_m^{\circ}\left( BaSO _4\right)=\Lambda_m^{\circ} Ba ^{2+}+\Lambda_m^{\circ} SO _4^{2-}=110+136.6=246.6 ohm ^{-1} \ cm^{-1}$
$K_{ B , S 04}= K _{ B , s 04}(\text { solution })- K _{\text {watar }}=3.648 \times 10^{-6}-1.25 \times 10^{-6}$
$=2.398 \times 10^{-6} s \ cm ^{-1}$
$\Lambda_m^c=\frac{ K \times 1000}{\text { Solubility }}=\frac{2.398 \times 10^{-6} \times 1000}{246.6}=9.72 \times 10^{-6} mol / L$
Solubility $=9.72 \times 10^{-6} \times 233=2.26 \times 10^{-3} g / L $
$K_{ B , S 04}= K _{ B , s 04}(\text { solution })- K _{\text {watar }}=3.648 \times 10^{-6}-1.25 \times 10^{-6}$
$=2.398 \times 10^{-6} s \ cm ^{-1}$
$\Lambda_m^c=\frac{ K \times 1000}{\text { Solubility }}=\frac{2.398 \times 10^{-6} \times 1000}{246.6}=9.72 \times 10^{-6} mol / L$
Solubility $=9.72 \times 10^{-6} \times 233=2.26 \times 10^{-3} g / L $



