A solution is made by dissolving 10.20 grams of glucose (C6H12O6) in 355 grams of water. What is the freezing-point depression of the solvent if the freezing point constant is -1.86 °C/m? Show all of the work needed to solve this problem.
The freezing point constant means that the temperature depression when adding one mole of the solute. The mole number of the solute is 10.20/180=0.0567 mol. So the answer is 1.86*0.0567=0.105 ℃.
10.20 g C6H12O6 x (1 mole C6H12O6 / 180 g C6H12O6) = 0.0567 mole C6H12O6
Then convert grams of water to kilograms of water by dividing by 1000.
355 g / 1000 = .355 Kg of H2O
molality (m) = (0.0567 mole C6H12O6 / .355 Kg of H2O) = 0.160 m
Then plug it in to the formula Δtf = Kfm
Δtf = (-1.86 °C/m) x (0.160 m)
Δtf = -0.298 °C