Calculate the freezing point of a one molar aqueous solution (density = 104 g L') of KCI. (Kb for
water = 1.86 kg mol', atomic masses of K = 39, C1 = 35.5).
K for
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Calculate the freezing point of a molar aqueous solution of KCl. (Density of solution =1.04gml
−1
K
f
=1.86 K kgmol
−1
)
Medium
Solution
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Molarity of KCl solution =1 M
This means 1 mole (or 74.5 g) of KCl is dissolved in 1 L (or 1000 ml) of solution.
Mass of solution=density of solution×volume of solution
Mass of solution=1.04×1000=1040 g
Mass of solvent=mass of solution−mass of solute=1040−74.5=965.5 g=0.9655 kg
Molality of solution(m)=
mass of solvent in kg
moles of solute
m=
0.9655
1
=1.035 mol kg
−1
ΔT
f
=K
f
.m
(0
0
C)−(T
f
)=1.86×1.035
T
f
=−1.92
0
C=271.08 K