Question #44100

A rigid container of total volume $3.0\text{ L}$ is divided into two compartments, A and B, by a freely movable, strictly solvent-permeable semi-permeable membrane. Compartment A initially has a volume of $2.0\text{ L}$ and contains an aqueous solution comprising $0.20\text{ mol}$ of $\ce{MNO3}$ and $0.20\text{ mol}$ of $\ce{NaX}$. Compartment B initially has a volume of $1.0\text{ L}$ and contains an aqueous solution of $1.20\text{ mol}$ of sucrose (a non-electrolyte). For the sparingly soluble salt $\ce{MX}$, the solubility product is $K_{sp} = 1.0 \times 10^{-2}$ at $298\text{ K}$. Assume ideal behavior for all solutions, complete dissociation of strong electrolytes, and that the volume of the solid precipitate is negligible. When the system reaches thermodynamic equilibrium at $298\text{ K}$, what is the mass of $\ce{MX}$ precipitated? (Given: Molar mass of $\ce{MX} = 150\text{ g mol}^{-1}$)