calculate the molality and van\'t Hoff factor for the following solutions (a) 0.
ID: 982611 • Letter: C
Question
calculate the molality and van't Hoff factor for the following solutions
(a) 0.549 mass % KCl, freezing point = -0.234°C
(b) 1.01 mass % H2SO4, freezing point = -0.423°C
Explanation / Answer
molality = moles of solute/kg of solvent
dTf = -iKfm
with,
i = van't hoff factor
Kf = freezing point constant for solvent = 1.86 oC/m for water
m = molality
(a) 0.549 mass % KCl
Let the total amount of solution be 100 g
amount of solvent = 100 - 0.549 = 99.451 g
molality = 0.549 g/74.55 g/mol x 0.099451 kg = 0.074 m
van't hoff factor for KCl = dTf/-Kfm = -0.234/-1.86 x 0.074 = 1.70 or 2
(b) 1.01 mass% H2SO4
Let the total amount of solution be 100 g
amount of solvent = 100 - 1.01 = 98.99 g
molality = 1.01 g/98.079 g/mol x 0.09899 kg = 0.104 m
van't hoff factor for H2SO4 = -0.423/-1.86 x 0.104 = 2.2 or 2
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