Final answer:
To determine the number of teaspoons of sugar in a label showing 16g of sugar, divide the sugar content by the mass of one teaspoon of sucrose. Using the average number of Calories for carbohydrates, calculate the mass of one teaspoon of sucrose. The label would have approximately 4 teaspoons of sugar.
Step-by-step explanation:
To determine the number of teaspoons of sugar in a label showing 16g of sugar, we need to convert the mass of sugar into teaspoons. Given that a teaspoon of sucrose contains 16 Calories and the average number of Calories for carbohydrates is 4.1 Calories/g, we can calculate the mass of one teaspoon of sucrose. Dividing the 16g sugar content in the label by the mass of one teaspoon of sucrose will give us the number of teaspoons of sugar.
First, calculate the mass of one teaspoon of sucrose:
1 teaspoon of sucrose = 16 Calories
Using the average number of Calories for carbohydrates (4.1 Calories/g), we can convert the Calories to mass:
16 Calories * (1 g/4.1 Calories) = 3.9 grams
To find the number of teaspoons of sugar in the label, divide the 16g sugar content by the mass of one teaspoon of sucrose:
Number of teaspoons = 16g / 3.9g = 4.1 teaspoons
Therefore, the label showing a sugar content of 16g would have approximately 4 teaspoons of sugar.