Final answer:
To find the mass of sucrose in the soft drink, multiply the volume of the drink by its density to get the total mass, and then apply the percentage concentration of sucrose to get the mass of sucrose: 42.4154 grams.
Step-by-step explanation:
The student is asking to calculate the mass of sucrose in a 355 mL soft drink that has an 11.6% sucrose concentration by mass and a density of 1.03 g/mL. To find the mass of sucrose, first, we need to calculate the total mass of the soft drink using its volume and density.
Total mass of soft drink = Volume × Density = 355 mL × 1.03 g/mL = 365.65 g
Now, since the soft drink is 11.6% sucrose by mass, we calculate the mass of sucrose as follows:
Mass of sucrose = Percentage of sucrose × Total mass of soft drink
= 0.116 × 365.65 g
= 42.4154 g
Therefore, the soft drink contains 42.4154 grams of sucrose.