Question

Jane and Bill each purchased a 250 mL cup of hot coffee (T = 50◦C). Jane sweetens her coffee by adding one teaspoon of sugar (sucrose, 342.3 g/mol). Bill sweetens his coffee by adding a one gram package of a sweetener (saccharin, 183.19 g/mol). Assuming that the coffee is very weak so that the sweetener may be considered to be the only solute, what is the difference between the chemical potential of the hot water in the two cups? The density of water at 50◦C is 988.07 kg/m3 , the density of solid sucrose is 1580.5 kg/m3 , one teaspoon = 5 cm3 .

Answer 1