Question

What volume (mL) of the sweetened tea described in Example 3.14 contains the same amount of sugar (mol) as 10 mL of the soft drink in this example?

Short answer

The volume of the sweetened tea will be 80mL

Step-by-step solution

Determine the volume 

In example 3.14, we have mixed 0.01 mol sucrose(sugar) with 200 ml of solution. In this example, the solution contains 0.004 mol of sugar per 10 ml of solution.

\(\begin{array}0.01{\rm{ mole sucrose is contained in 200 ml of solution}}\\\therefore {\rm{0}}{\rm{.004 mole of sucrose will be contained in }}\frac{{200{\rm{ ml }} \times {\rm{0}}{\rm{.004 mol}}}}{{0.01{\rm{ mol}}}}{\rm{ of solution}}\\{\rm{ = 80 ml of solution}}\end{array}\)

Hence, the volume of the sweetened tea will be \({\rm{80 ml}}\)