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?

May 18, 2017

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

$\text{2.0 g"/"1 mL" = (color(red)(x) " g")/"100.0 mL}$ $\text{ "" } \boldsymbol{\left(1\right)}$

$\text{2.0 g"/"1 mL" = (color(green)(y) " g")/"355.0 mL}$$\text{ "" } \boldsymbol{\left(2\right)}$

$\text{2.0 g"/"1 mL" = (color(blue)(z) " g")/"946.0 mL}$$\text{ "" } \boldsymbol{\left(3\right)}$

Hence:

$x = \textcolor{red}{\text{200 g}}$$\text{ "" } \boldsymbol{\left(1\right)}$

$y = \textcolor{g r e e n}{\text{710 g}}$$\text{ "" } \boldsymbol{\left(2\right)}$

$z = \textcolor{b l u e}{\text{1892 g}}$$\textcolor{w h i t e}{\ldots . .} \boldsymbol{\left(3\right)}$