Question #03020

1 Answer
Mar 26, 2017

The freezing point is -1.19 °C.

The formula for calculating freezing point depression #ΔT_"f"# is

#color(blue)(bar(ul(|color(white)(a/a)ΔT_"f" = iK_fbcolor(white)(a/a)|)))" "#

where

#i# is the van't Hoff factor

#K_"f"# is the molal freezing point depression constant

#"b"# is the molality of the solution.

In this problem,

#i= 2#, because 1 mol of #"NaCl"# gives 2 mol of particles
#K_text(f) = "1.86 °C·kg·mol"^"-1"#
#b = "0.321 mol·kg"^"-1"#

#ΔT_"f" = 2 × "1.86 °C"·color(red)(cancel(color(black)("kg·mol"^"-1"))) × 0.321 color(red)(cancel(color(black)("mol·kg"^"-1"))) = "1.194 °C"#

#T_text(f) = T_text(f)^° - ΔT_text(f) = "0 °C - 1.194 °C" = "-1.19 °C"#

Note: The answer can have only 3 significant figures (two decimal places), because that is all you gave for the molality of the solution.