The conductivity of a saturated BaSO4 solution, after subtracting that of water, is 2.87x 10^-6 S cm^-1. Taking Lambda deg_m(BaSO4) = 287 S cm^2 mol^-1, the solubility of BaSO4 in mol L^-1 is yx 10^-5. The value of y (one decimal) is.

JEE Advanced levelNumerical answerDifficulty 2 of 3ec24

The conductivity of a saturated $BaSO X_{4}$ solution, after subtracting that of water, is $2.87 \times 1 0^{- 6} S c m^{- 1}$ . Taking $Λ_{m}^{\circ} (BaSO X_{4}) = 287 S c m^{2} mo l^{- 1}$ , the solubility of $BaSO X_{4}$ in $mol L^{- 1}$ is $y \times 1 0^{- 5}$ . The value of $y$ (one decimal) is.

Numerical answer type, tolerance 0.05.

For a sparingly soluble salt

Λ_{m} \approx Λ_{m}^{\circ}

c = \frac{1000 κ}{Λ _{m}^{\circ}} = \frac{1000 \times 2.87 \times 1 0 ^{- 6}}{287} = 1.0 \times 1 0^{- 5} mol L^{- 1}

. (

K_{s p} = c^{2} = 1 0^{- 10}