Question

the nutrition label on a bottle of cola reports that a 8.0 fl oz serving contains 27 grams of sugar. how many kilograms of sugar are in a 2.0 l bottle of cola?
use the conversion 1 l = 33.8 fl oz.
note: 1000 grams = 1 kilogram
do not round your answer.
kg

Explanation:

Step1: Convert liters to fluid ounces

Given \(1\ L = 33.8\ fl\ oz\), for a \(2.0\ L\) bottle, the volume in fluid ounces is \(V=2.0\times33.8\ fl\ oz\).

Step2: Find the number of \(8.0\ fl\ oz\) servings

Let \(n\) be the number of \(8.0\ fl\ oz\) servings. Then \(n=\frac{2.0\times33.8}{8.0}\).

Step3: Calculate the grams of sugar

Since each \(8.0\ fl\ oz\) serving has \(27\) grams of sugar, the total grams of sugar \(m = 27\times\frac{2.0\times33.8}{8.0}\) grams.

Step4: Convert grams to kilograms

Since \(1000\) grams \( = 1\) kilogram, the mass in kilograms \(M=\frac{27\times2.0\times33.8}{8.0\times1000}\).

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Answer:

\(0.22815\)