The average fuel value of sugars is 17 kJ/g. A 2.0 L pitcher of sweetened Kool-Aid® contains 400 g of sugar. What is the fuel value (in kJ)of a 500 mL serving of Kool-Aid®? (Assume that the sugar is the only fuel source.) A)4.2 × 10⁴ kJ B)1.7 × 10³ kJ C)1.7 × 10⁶ kJ D)1.7 × 10² kJ E)17 kJ

Question

Quizplus · Accepted Answer

First, we need to determine how much sugar is in a 500mL serving of Kool-Aid®. We know that there are 400g of sugar in a 2.0 L pitcher of Kool-Aid®, so we can set up a proportion:

(400 g sugar) / (2.0 L Kool-Aid®) = (x g sugar) / (0.5 L Kool-Aid®)

Solving for x, we get:

x = (0.5 L Kool-Aid®) * (400 g sugar) / (2.0 L Kool-Aid®) = 100 g sugar

Now we can calculate the fuel value of a 500mL serving of Kool-Aid®:

Fuel value = (fuel value of sugar) * (mass of sugar) = (17 kJ/g) * (100 g) = 1700 kJ

So the answer is B, 1.7 × 10^13 kJ. Note that this is equivalent to 1.7 × 10^10 kJ.

The Average Fuel Value of Sugars Is 17 KJ/g