If the solubility of sugar (sucrose) in water is 2.0 g/mL at room temperature, what is the maximum amount of sugar that will dissolve in 100.0 mL water, 355 mL (12 oz) water and 946 mL (1 qt) water?

1 Answer
May 18, 2017

This is just a matter of scaling up the quoted solubility and keeping the fraction constant to maintain physicality.

#"2.0 g"/"1 mL" = (color(red)(x) " g")/"100.0 mL"# #" "" "bb((1))#

#"2.0 g"/"1 mL" = (color(green)(y) " g")/"355.0 mL"##" "" "bb((2))#

#"2.0 g"/"1 mL" = (color(blue)(z) " g")/"946.0 mL"##" "" "bb((3))#

Hence:

#x = color(red)("200 g")##" "" "bb((1))#

#y = color(green)("710 g")##" "" "bb((2))#

#z = color(blue)("1892 g")##color(white)(.....)bb((3))#