Question

multiple choice question
two solutions are made by mixing sugar and enough water to make a 1 liter solution. one solution contains 10% sugar and the other solution contains 20% sugar.
which solution has more solvent?

the 20% sugar solution
the 10% sugar solution

Explanation:

1. Recall the definition: In a solution, the solvent is the component (usually liquid, here water) that dissolves the solute (sugar). The total volume of each solution is 1 liter (1000 mL).
2. Calculate the amount of solute (sugar) in each solution:

• For the 10% sugar solution: The amount of sugar (solute) is \( 10\% \) of 1 liter. So, \( 0.10\times1000\space mL = 100\space mL \) of sugar. Then the amount of water (solvent) is \( 1000 - 100=900\space mL \).
• For the 20% sugar solution: The amount of sugar (solute) is \( 20\% \) of 1 liter. So, \( 0.20\times1000\space mL = 200\space mL \) of sugar. Then the amount of water (solvent) is \( 1000 - 200 = 800\space mL \).

1. Compare the amount of solvent: Since \( 900\space mL>800\space mL \), the 10% sugar solution has more solvent.

Answer:

The 10% sugar solution