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A saturated solution of sparingly soluble salt \( \mathrm{MCl}_{2} \) has a vapour pressure of \( 31.78 \mathrm{~mm} \) of \( \mathrm{Hg} \) at \( 30^{\circ} \mathrm{C} \). Pure water exerts a pressure of \( 31.82 \mathrm{~mm} \) of \( \mathrm{Hg} \) at \( 30^{\circ} \mathrm{C} \). Calculate the \( K_{s p} \) of \( \mathrm{MCl}_{2} \). Assume molarity equal to molality and \( \mathrm{MCl}_{2} \) is \( 100 \% \) dissociated in solution.
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