JEE Main 2023 — Solutions Question with Solution

Solid Lead nitrate is dissolved in 1 litre of water. The solution was found to boil at 100.15$${}^{\circ }$$C. When 0.2 mol of NaCl is added to the resulting solution, it was observed that the solution froze at $$-0.8^{\circ }$$ C. The solubility product of PbCl$${}_2$$ formed is __________ $$\times$$ 10$${}^{-6}$$ at 298 K. (Nearest integer)

Given : $${\mathrm{K}}_{\mathrm{b}}=0.5$$ K kg mol$${}^{-1}$$ and $${\mathrm{K}}_{\mathrm{f}}=1.8$$ K kg mol$${}^{-1}$$. Assume molality to the equal to molarity in all cases.