Q. 13.53 - An Introduction to General, Organic, and Biological Chemistry

Question

For breakfast, Kate had $1$ cup of orange juice $(23 \mathrm{g}$ carbohydrate), $2$ slices of wheat toast ( $24 \mathrm{g}$ carbohydrate), $2$ tablespoons of grape jam ( $26 \mathrm{g}$ carbohydrate), and coffee with sugar substitute ( $0 \mathrm{g}$ carbohydrate).

a. Has Kate remained within the limit of $45$ to $60 \mathrm{g}$ of carbohydrate?

b. Using the energy value of $4\mathrm{kcal}/\mathrm{g}$ for carbohydrate, calculate the total kilocalories from carbohydrates in Kate's breakfast, rounded to the tens place.

Step-by-Step Solution

Answer

Part a). The answer is No, she has exceeded her carbohydrate allowance. 

Part b). Total kilocalories in Kate's breakfast is $290 kcal$.

Step 1: Given information (Part a)

Kate had the following for the breakfast

• $1$ cup of orange juice ($23gms$ of carbohydrate)
• $2$ slices of wheat toast ($24gms$ of carbohydrate)
• $2$ tablespoons of grape jam ($26gms$ of carbohydrate)
• Coffee with sugar substitute ($0gms$ of carbohydrate)

Step 2: Explanation (Part a)

• The answer is No, she has exceeded her carbohydrate allowance. 
• Her breakfast included $73 gms$ of carbohydrate $(23 gms+24 gms+26 gms )$.
• She needs to reduce her carbohydrate intake.

Step 3: Given information (Part b)

The energy value is $4 kcal/g$ for carbohydrate, and for breakfast she had:

• $1$ cup of orange juice ( $23\mathrm{gms}$ of carbohydrate)
• $2$ slices of wheat toast ( $24\mathrm{gms}$ of carbohydrate)
• $2$ tablespoons of grape jam ($26gms$ of carbohydrate)
• Coffee with sugar substitute ($0gms$ of carbohydrate)

Step 4: Explanation (Part b)

- Kate's breakfast has $73 gms$ of carbohydrates based on the $4 kcal/g$ energy value.

- Each gram of carbohydrates provide $4 \mathrm{kcal}/g$ of energy, Now $73 gms$ of carbs supply is

               $$\begin{gathered} =73 gms x 4 kcal \\ = 292 kcal \\ = 290 kcal (rounding off) \end{gathered}$$

- So, Total kilocalories in Kate's breakfast is $290 kcal$.