Question

according to its nutrition label, orange soda contains 49 g 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? hint: this is a 2 - step problem. first, use the density to convert the 355 - ml serving size to grams. then, calculate percent sugar in the beverage

Explanation:

Step1: Calculate the mass of the beverage

We know that density $
ho=\frac{m}{V}$, so $m =
ho V$. Given $
ho = 1.043\ g/mL$ and $V=355\ mL$.
$m=
ho V=1.043\ g/mL\times355\ mL = 369.265\ g$

Step2: Calculate the percent - sugar concentration

The percent - sugar concentration is given by $\text{Percent sugar}=\frac{\text{Mass of sugar}}{\text{Mass of beverage}}\times100\%$. The mass of sugar is $40\ g$ and the mass of the beverage is $369.265\ g$.
$\text{Percent sugar}=\frac{40\ g}{369.265\ g}\times 100\% \approx 10.8\%$

Answer:

$10.8\%$