How much would the freezing point of water decrease if 4 mol of sugar was added to 1 kg of water?

Answer 1

7.44 C

Answer 2

The freezing point depression constant for water is approximately 1.858°C kg/mol. Using the formula ∆Tf = iKfm, where i is the van't Hoff factor, Kf is the freezing point depression constant, and m is the molality, we can calculate the change in freezing point. In this case, with 4 mol of sugar added to 1 kg of water (1000 g), the molality is 4 mol / 1000 g = 4 m/kg. Plugging these values in, we get ∆Tf = 1 * 1.858 * 4 = 7.432°C. The freezing point of water would decrease by 7.432°C.