Question

this is a multi - part item.
a chemist has 200 ml of a 10% sucrose solution. if she adds x milliliters of a 40% sucrose solution, what is the percent concentration of the final mixture?
final concentration = \\(\frac{\text{total mass of sucrose}}{\text{total volume of solution}}\cdot100\\)
which expression represents the total mass, in grams, of sucrose in the final mixture?
which expression represents the total volume, in milliliters, of the final mixture?

Explanation:

Step1: Calculate sucrose from 10% solution

The 200 mL of 10% sucrose solution has sucrose mass: \( 0.10 \times 200 = 20 \) grams.

Step2: Calculate sucrose from 40% solution

The \( x \) mL of 40% sucrose solution has sucrose mass: \( 0.40 \times x = 0.4x \) grams.

Step3: Total sucrose mass

Add the two masses: \( 20 + 0.4x \) grams.

Step4: Total volume of mixture

The initial volume is 200 mL, and we add \( x \) mL, so total volume: \( 200 + x \) milliliters.

Answer:

s:

• Total mass of sucrose: \( 20 + 0.4x \)
• Total volume of mixture: \( 200 + x \)