1 Which of the following aqueous solutions has the highest b
Solution
Ans. #3.A. 1.22 M glucose.
1.22 M solution consists of 1.22 mol glucose per L of solution.
Let the volume of solution be 1.0 L. So, moles of glucose in it = 1.22 mol.
# Mass of glucose = Moles x Molar mass = 1.22 mol x (180.15768 g/ mol)
= 219.792 g
# Mass of solution = Volume x Density = 1000.0 mL x (1.12 g/ mL) = 1120.0 g
# Mass of solvent (water) = Mass of solution – Mass of glucose
= 1120.0 g – 219.972 g
= 900.208 g
= 0.900208 kg
# Now, molality = Moles of glucose / Mass of solvent in kg
= 1.22 mol / 0.900208 kg
= 1.355 m
#3.B. 0.87 M NaOH.
Let the volume of solution be 1.0 L. So, moles of NaOH in it = 0.87 mol.
# Mass of NaOH = 0.87 mol x (40.0 g/ mol) = 34.8 g
# Mass of solution = Volume x Density = 1000.0 mL x (1.04 g/ mL) = 1040.0 g
# Mass of solvent (water) = Mass of solution – Mass of NaOH
= 1040.0 g – 34.8 g
= 1005.2 g
= 1.0052 kg
# Now, molality = 0.87 mol / 1.0052 kg = 0.865 m
#3.C. 5.24 M NaHCO3
Let the volume of solution be 1.0 L. So, moles of NaHCO3 in it = 5.24 mol.
# Mass of NaHCO3 = 5.24 mol x (84.0 g/ mol) = 440.16 g
# Mass of solution = Volume x Density = 1000.0 mL x (1.19 g/ mL) = 1190.0 g
# Mass of solvent (water) = Mass of solution – Mass of NaHCO3
= 1190.0 g – 440.16 g
= 749.84 g
= 0.74984 kg
# Now, molality = 5.24 mol / 0.74984 kg = 6.988 m


