The label on an Ocean Spray Cran-Raspberry drink lists 30 g of sugar in 240 mL of drink. I weighed 240 mL of drink and found its mass to be 251 g. What is the percent composition of sugar in the drink?

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The label on an Ocean Spray Cran-Raspberry drink lists 30 g of sugar in 240 mL of drink. I weighed 240 mL of drink and found its mass to be 251 g. What is the percent composition of sugar in the drink?

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Answer 1 · 2017-03-03T03:01:27

$12% sugar$ $"12% sugar"$

Explanation:

We use percent composition as a measure of how many grams of a given substance are present in exactly $100 g$ $"100 g"$ of a compound or a mixture.

In this case, the percent composition of sugar in the beverage will tell you how many grams of sugar you get for every $100 g$ $"100 g"$ of beverage.

Now, you know that you have $30 g$ $"30 g"$ of sugar in $251 g$ $"251 g"$ of beverage. This is the known composition of the drink. You can use this composition to determine the mass of sugar present in $100 g$ $"100 g"$ of beverage.

$100 g drink \cdot \frac{30 g sugar}{251 g drink} = 11.95 g sugar$ $100 color(red)(cancel(color(black)("g drink"))) * "30 g sugar"/(251color(red)(cancel(color(black)("g drink")))) = "11.95 g sugar"$

This means that the percent composition of sugar in the drink will be

$color(darkgreen)(ul(color(black)("% sugar = 12%")))$

I'll leave the answer rounded to two sig figs, but keep in mind that you only have one significant figure for the mass of sugar.

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The label on an Ocean Spray Cran-Raspberry drink lists 30 g of sugar in 240 mL of drink. I weighed 240 mL of drink and found its mass to be 251 g. What is the percent composition of sugar in the drink?

1 Answer

Explanation:

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