Chapter SH, Problem 21.9APP

To determine

To calculate: Minimum amount of water needed to dissolve the given amount of sucrose.

Answer to Problem 21.9APP

Amount of water needed to dissolve the given amount of sucrose is $\underset{\_}{17.4\text{ mL}}$ .

Explanation of Solution

Given:

Solubility of sucrose in water = $\text{287}\text{.3 g/100 mL}$

Amount of sucrose = $50\text{ g}$

Calculation:

  $287.3\text{ g}$ of sucrose dissolves in $100\text{ mL}$ of water.

  $1\text{ g}$ of sucrose dissolves $\frac{\text{100 mL}}{287.3\text{ g}}$ of water.

  $\text{50 g}$ of sucrose dissolves $\frac{\text{100 mL}}{287.3\text{ g}}\times 50\text{ g = 17}\text{.4 mL}$ of water.

Conclusion:

Amount of water needed to dissolve the given amount of sucrose is $\underset{\_}{17.4\text{ mL}}$ .