At -18.6 °C, a common temperature for household freezers, what is the maximum mass of sucralose (C12H19Cl3O8) in grams you can add to 2.00 kg of pure water and still have the solution freeze? Assume that sucralose is a molecular solid and does not ionize when it dissolves in water. Consult the table of Kf values. Solvent Formula Kf value* (°C/m) Normal freezing point (°C)  Kb value (°C/m) Normal boiling point (°C)  water  H2O  1.86  0.00  0.512  100.00  benzene  C6H6  5.12  5.49  2.53  80.1  cyclohexane  C6H12  20.8  6.59  2.92  80.7  ethanol  C2H6O  1.99 –117.3  1.22  78.4  carbon tetrachloride   CCl4  29.8  –22.9  5.03  76.8  camphor   C10H16O  37.8  176

Question

At -18.6 °C, a common temperature for household freezers, what is the maximum mass of sucralose (C12H19Cl3O8) in grams you can add to 2.00 kg of pure water and still have the solution freeze? Assume that sucralose is a molecular solid and does not ionize when it dissolves in water. Consult the table of Kf values.

Solvent Formula Kf value*
(°C/m)
Normal freezing
point (°C)
 Kb value
(°C/m)
Normal boiling
point (°C)
 water  H2O  1.86  0.00  0.512  100.00
 benzene  C6H6  5.12  5.49  2.53  80.1
 cyclohexane  C6H12  20.8  6.59  2.92  80.7
 ethanol  C2H6O  1.99 –117.3  1.22  78.4
 carbon
 tetrachloride 
 CCl4  29.8  –22.9  5.03  76.8
 camphor   C10H16O  37.8  176    

 

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