Step 1:
\Freezing point of the water .
Molar Mass of the substance is 50.0 g/mol.
\Amount of water is 4.79 kg.
\Let mass of the substance be grams.
Freezing point of water , where
is the change in temperature and
,
is the van t Hoff factor, assume
.
is the molality of the solution
Molality of the compound dissolved is
is the molality depression constant =
.
Freezing point :
Step 2:
\Amount of sucrose in grams is
\m(grams) = Molar mass of substance(g/mol) * amount of substance (mol)
\Mass of the substance in grams is 167.45 grams.
Solution:
\Mass of the substance in grams is 167.45 grams.