Question

According to its nutrition label, orange soda contains 49g of sugar per 355 ml serving. if the density of the beverage is 1.043 g/ml, what is the percent sugar concentration in orange soda

Answer 1

The percent sugar concentration of orange soda is calculated by dividing the mass of the sugar by the total mass of the beverage and multiplying by 100. For a 355 mL serving of soda with a density of 1.043 g/mL and sugar content of 49g, the percent sugar concentration is approximately 13.24%.

Step-by-step explanation:

The question asks to calculate the percent sugar concentration in orange soda, given the amount of sugar and the volume and density of the soda. The mass of the beverage can be calculated by multiplying its volume by the density, and the percent concentration is then obtained by dividing the mass of sugar by the total mass of the solution and multiplying by 100.

To find the mass of the soda, we use the formula: mass = volume × density. So, for a 355 mL serving with a density of 1.043 g/mL, the mass of the soda is calculated as follows:

Mass of soda = 355 mL × 1.043 g/mL = 370.265 g

Next, we calculate the percent concentration of sugar:

Percent sugar concentration = (mass of sugar / total mass of the beverage) × 100
Percent sugar concentration = (49g / 370.265g) × 100
Percent sugar concentration ≈ 13.24%

Therefore, the percent sugar concentration of the orange soda is approximately 13.24%.

Answer 2

13.2% First, let's calculate the mass of that 355 ml serving. 1.043 g/ml * 355 ml = 370.265 g Now divide the mass of sugar by the mass of the entire drink. 49 g / 370.265 g = 0.13233765 = 13.233765% So the mass percentage of sugar in that drink is 13.2%