Question 7.C-L.8: Calculate the boiling point, freezing point, and osmotic pre...
Calculate the boiling point, freezing point, and osmotic pressure of the following solutions. Assume that the osmotic pressure is measured at 27°C.
a. A 0.100 M solution of CaCl2 in water. The CaCl2 is a strong electrolyte.
b. A 0.100 M solution of ethylene glycol in water. Ethylene glycol does not dissociate in solution.
Learn more on how we answer questions.
a. Because CaCl2 is a strong electrolyte, it dissociates completely:
CaCl2→Ca2++2Cl−. Thus, n = 3.
ΔTb=nKbM=(3)(0.52°C/M)(0.100 M)=0.16°CBecause the boiling point of a solution is higher than the boiling point of the pure solvent, ΔTb is added to the boiling point of the pure solvent.
Solution B.P. = 100.00°C + 0.16°C = 100.16°C
ΔTf=nKfM=(3)(1.86°C/M)(0.100 M)= 0.558°CBecause the freezing point of a solution is lower than the freezing point of the pure solvent, ΔTf is subtracted from the freezing point of the solvent.
Solution F.P. = 0.00°C – 0.558°C = 20.558°C = -0.56°C
π=nMRT =(3)(0.100 mol/L)(62.4 L torr/K mol)(300 K)= 5.62×103 torr=7.39 atmb. Because ethylene glycol does not dissociate in solution, n = 1.
ΔTb=nKbM=(1)(0.52°C/M)(0.100 M)=0.052°CSolution B.P. = 100.00°C + 0.052°C = 100.05°C
ΔTf=nKfM=(1)(1.86°C/M)(0.100 M)=0.186°CSolution F.P. = 0.00°C – 0.186°C = -0.186°C
= -0.19°C