J.R. S. answered 05/12/21
Ph.D. University Professor with 10+ years Tutoring Experience
Colligative properites:
Freezing point depression
∆T = imK
∆T = change in freezing point = ?
i = van't Hoff factor = 3 for CaCl2 since it produces 3 particles (Ca2+ and 2Cl-)
m = molality = moles solute / kg solvent = 2550 g CaCl2 x 1 mol/111 g = 22.97 mols / 33.8 kg = 0.680 m
K = freezing constant for water = -1.86ºm
Solving for ∆T we have..
∆T = (3)(0.680)(-1.86) = 3.79º
New freezing point = - 3.79 degrees C since normal freezing point is 0ºC