Electrochemistry

At \(291 \mathrm{~K}\), saturated solution of \(\mathrm{BaSO}_4\) was found to have a specific conductivity of \(3.648 \times 10^{-6} \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}\) and that of water being used is \(1.25 \times 10^{-6} \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}\). If the ionic conductances of \(\mathrm{Ba}^{2+}\) and \(\mathrm{SO}_4^{2-}\) are 110 and \(136.6 \mathrm{ohm}^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\) respectively. The solubility of \(\mathrm{BaSO}_4\) at \(291 \mathrm{~K}\) will be [Atomic masses of \(\mathrm{Ba}=137, \mathrm{~S}=32, \mathrm{O}=16]\)