A Starbucks Venti Caramel Macchiato contains about 42.0 grams of sugar. If we assume all the sugar is in the form of sucrose, use your answer from Question 4 to determine how many nutritional calories are produced in burning this quantity of sugar. Give your answer as a positive number to three significant figures. Use the following conversions: 1 nutritional calorie = 1 kcal; 1 cal = 4.184 J. Note that a total nutritional calorie count should also include the calories from burning fat and protein, which we are not counting here.

Question

A Starbucks Venti Caramel Macchiato contains about 42.0 grams of sugar. If we assume all the sugar is in the form of sucrose, use your answer from Question 4 to determine how many nutritional calories are produced in burning this quantity of sugar. Give your answer as a positive number to three significant figures. Use the following conversions: 1 nutritional calorie = 1 kcal; 1 cal = 4.184 J. Note that a total nutritional calorie count should also include the calories from burning fat and protein, which we are not counting here.

Answer 1

To determine the number of nutritional calories produced by burning 42.0 grams of sucrose, we need to convert the grams of sugar to joules and then to nutritional calories.

Step 1: Convert grams of sugar to joules
We know that 1 gram of sugar contains approximately 17.0 kilojoules (kJ) based on Question 4. Therefore, we can calculate:

42.0 grams of sugar * 17.0 kJ/gram = 714 kJ

Step 2: Convert joules to nutritional calories
We also know that 1 calorie (cal) is equal to 4.184 joules (J). Since 1 nutritional calorie is equivalent to 1 kilocalorie (kcal), we have:

714 kJ * (1 cal / 4.184 J) * (1 kcal / 1 cal) ≈ 170 kcal

Therefore, burning 42 grams of sugar from a Starbucks Venti Caramel Macchiato would produce approximately 170 nutritional calories.

Answer 2

To determine the number of nutritional calories produced by burning the sugar in a Starbucks Venti Caramel Macchiato, we need to convert the amount of sugar from grams to nutritional calories.

First, let's recall the conversion factor from Question 4: 1 gram of sugar (sucrose) releases approximately 3.87 nutritional calories upon complete combustion.

Now, we can calculate the number of nutritional calories produced by the 42.0 grams of sugar in the Caramel Macchiato:

42.0 grams * 3.87 nutritional calories/gram = 162.54 nutritional calories

So, the burning of the sugar in a Starbucks Venti Caramel Macchiato would produce approximately 162.54 nutritional calories.

Note: This calculation only considers the calories generated from burning sugar (sucrose), not the calories from burning fat and protein. A complete nutritional calorie count would include calories from all food components.