Hundred gram of water has 3 gram of urea dissolved in it calculate the freezing point of solution molar mass of urea is equal to 60 gram per mole
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Answer : The freezing point of a solution is 272.07 K.
Solution : Given,
(for water)
Mass of solute (urea) = 3 g
Volume of solvent (water) = 100 ml
Molar mass of urea = 60 g/mole
Density of water = 1 g/ml
First we have to calculate the mass of solvent.
Mass of solvent = Density of solvent × volume of solvent
Mass of solvent = 1 g/ml × 100 ml = 100 g
Now we have to calculate the molality of solution.
Formula used :
The formula used for depression in freezing point is,
where,
= freezing point of pure solvent = = 273 K
= freezing point of solution
m = molality
= molal depression constant
Now put all the given values in this formula, we get
Therefore, the freezing point of a solution is 272.07 K.
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