A solution of sucrose (molar mass = 342 g mol−1 ) has been prepared by dissolving 68.5 g of sucrose in 1000 g of water. The freezing point of the solution obtained will be : (Kf for water = 1.86 K kg mol –1)
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weight of sucrose = 68.5 g
molecular weight of sucrose = 342 g/mol
so, no of moles of sucrose = 68.5/342 = 0.2 mol
mass of solvent (water) = 1000g
molality = no of moles of sucrose/mas of solvent in kg
= 0.2/(1000g/1000)
= 0.2molal
using formula, ∆Tf = kf × molality
here, kf = 1.86 Kg.°C/mol and molality = 0.2
so, ∆Tf = 1.86 × 0.2 = 0.372°C
hence, the freezing point of the solution obtained will be 0.372°C
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