Step 1: Understanding the Concept:
The physiological energy value of food is calculated based on the concentrations of its energy-yielding macronutrients.
According to the Atwater system, carbohydrates, fats, and proteins provide standard amounts of metabolizable energy per gram.
Key Formula or Approach:
The Atwater physiological energy factors are:
\[ 1\text{ g of Carbohydrate} = 4\text{ kcal} \]
\[ 1\text{ g of Protein} = 4\text{ kcal} \]
\[ 1\text{ g of Fat} = 9\text{ kcal} \]
The total energy of a food portion is calculated as:
\[ \text{Total Energy (kcal)} = (\text{g Carbohydrate} \times 4) + (\text{g Protein} \times 4) + (\text{g Fat} \times 9) \]
Step 2: Detailed Explanation:
Given the macronutrient composition of one glass of milk shake:
- Carbohydrates = \(17\text{ g}\)
- Fat = \(9\text{ g}\)
- Protein = \(8\text{ g}\)
Let us calculate the energy contribution of each macronutrient:
- Energy from Carbohydrates:
\[ 17\text{ g} \times 4\text{ kcal/g} = 68\text{ kcal} \]
- Energy from Protein:
\[ 8\text{ g} \times 4\text{ kcal/g} = 32\text{ kcal} \]
- Energy from Fat:
\[ 9\text{ g} \times 9\text{ kcal/g} = 81\text{ kcal} \]
Summing these values to find the total energy:
\[ \text{Total Energy} = 68\text{ kcal} + 32\text{ kcal} + 81\text{ kcal} = 181\text{ kcal} \]
Therefore, the milkshake provides \(181\text{ kcal}\).
Step 3: Final Answer:
The milkshake provides a total of 181 Kilocalories.