To use freezing-point depression or boiling-point elevation to determine the molal concentration of a solution.
The freezing point, Tf, of a solution is lower than the freezing point of the pure solvent. The difference in freezing point is called the freezing-point depression, ΔTf:
ΔTf=Tf(solvent)−Tf(solution)
The boiling point, Tb, of a solution is higher than the boiling point of the pure solvent. The difference in boiling point is called the boiling-point elevation, ΔTb:
ΔTb=Tb(solution)−Tb(solvent)
The molal concentration of the solution, m, is directly proportional to ΔTf and ΔTb:
m=moles of solutekilograms of solvent
B) A solution of water (Kf=1.86 defreeC/m) and glucose freezes at − 3.75 degree C. What is the molal concentration of glucose in this solution? Assume that the freezing point of pure water is 0.00 degree C
C)
A solution of water (Kb=0.512 ∘C/m) and glucose boils at 101.56 ∘C. What is the molal concentration of glucose in this solution? Assume that the boiling point of pure water is 100.00 ∘C.
B) A solution of water (Kf=1.86 defreeC/m) and glucose freezes at − 3.75 degree C.
What is the molal concentration of glucose in this solution? Assume that the freezing point of pure water is 0.00 degree C
dTf = -Kf*m
m = dTf/Kf = (-3.75)/(-1.86) = 2.0161 molal
C)
A solution of water (Kb=0.512 ∘C/m) and glucose boils at 101.56 ∘C. What is the molal concentration of glucose in this solution? Assume that the boiling point of pure water is 100.00 ∘C.
dTb = Kb*m
m = dTb/Kb = (101.56-100)/(0.512) = 3.046875 molal
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