Chapter 21, Problem 50R

To determine

The concentration of apple juice (solute) and water (solvent) by volume to make 25 percent solution of apple juice is to be determined.

Answer to Problem 50R

To make 25 percentsolution by volume of apple juice, dissolve 25 mL apple juice in 75 ml water.

Explanation of Solution

Given information:

Percentage concentration of apple juice (solute) by volume = 25

Formula used:

  $\frac{Volumeofsolute(v_1)}{Volumeofsolute(v_1)+Volumeofs\mathrm{olvent}(v_2)}\times 100\%=\%byvolumeofsolute(v_1)$

  $\frac{v_1}{v_1+v_2}\times 100\%=\%byvolumeofsolute(v_1)$

On modifying this;

  $\frac{v_2}{v_1}=\frac{100\%}{\%byvolumeofsolute}-1$

Calculation:

Insert the given values;

  $\begin{array}{l}\frac{v_2}{v_1}=\frac{100}{25}-1=3\\ v_2=3v_1\end{array}$

Volume of solvent (water) = 3 times of volume of solute (apple juice)

So, for25 percentsolution by volume of apple juice, dissolve 25 mL apple juice in 75 ml water.

Conclusion:

Thus, to make 25 percentsolution by volume of apple juice, dissolve 25 mL apple juice in 75 mL water.