Final answer:
The mass of one teaspoon of sucrose is calculated by dividing the total Calories (16 kcal) by the average number of Calories per gram for carbohydrates (4.1 Calories/g), resulting in 3.9 grams.
Step-by-step explanation:
To calculate the mass of one teaspoon of sucrose knowing that it contains 16 Calories and that the average number of Calories for carbohydrates like sucrose is 4.1 Calories/g, we use the following formula:
- Total Calories = (Mass in grams) × (Calories per gram)
We are given that one teaspoon of sucrose contains 16 Calories, so we can rearrange the formula to solve for mass as follows:
- Mass in grams = Total Calories ÷ Calories per gram
- Mass in grams = 16 Calories ÷ 4.1 Calories/g
- Mass in grams = 3.9 g
Therefore, the mass of one teaspoon of sucrose is 3.9 g, which corresponds to answer option (a).