Q. 3.69 - An Introduction to General, Organic, and Biological Chemistry

Question

A$70.0$-kg person had a quarter-pound cheeseburger, french fries, and a chocolate shake. $\left(3.5\right)$

a. Using Table $3.7$, calculate the total kilocalories for each food type in this meal (round off the kilocalories to the tens place).

b. Determine the total kilocalories for the meal (round off to the tens place).

c. Using Table $3.10$, determine the number of hours of sleep needed to burn off the kilocalories in this meal.

d. Using Table $3.10$, determine the number of hours of running needed to burn off the kilocalories in this meal.

Step-by-Step Solution

Answer

a. Carbohydrate  $680 kcal$, Fat $590 kcal$, Protein $240 kcal.$

b. The total kilocalories of carbohydrate, fat, protein is $1510 kcal$

c. The time taken of $1510 kcal$is $25h$

d. The time taken of $1510 kcal$ is $2h.$

Step 1: Given Information (a)

(a) A $70.0-kg$ person had a quarter-pound cheeseburger, Irish potato, and a chocolate shake.

Step 2: Explanation (a)

(a) The carbohydrate, fat and protein present in cheeseburger, murphy, and chocolate shake is $46, 47, 76 g$ and $40,16,10 g$ and $47,4,10 g$respectively.

Calculate the carbohydrate energy for every food type using its mass and energy value and round off the kilocalories to tens place.

Total $46+47+76= 169g$
kilocalories = mass $\times$ energy value of carbohydrate
For $169 kg$ of carbohydrate:
kilocalories = $169\mathrm{g}\times 4\mathrm{kcal}$ $=680\mathrm{kcal}$

Calculate the fat energy using its mass and energy value and round off the kilocalories to tens place.

Total $40+16+10=66g$
kilocalories = mass $\times$ energy value of fat
For $66 g$ of fat:

Kilocalories $=66\mathrm{g}\times 9\mathrm{kcal}$ $=590\mathrm{kcal}$

Calculate the proteinenergy using its mass and energy value and round off the kilocalories to tens place.

Total $47+4+10=61 g$
kilocalories = mass $\times$ energy value of protein
For $61 g$ of protein:
kilocalories $=61\mathrm{g}\times 4\mathrm{kcal}$ $=240\mathrm{kcal}$

Step 3: Given Information (b)

(a) A $70.0-kg$ person had a quarter-pound cheeseburger, Irish potato, and a chocolate shake.

Step 4: Explanation (b)

(b) The total kilocalories for the meal are the sum of the kilocalories of carbohydrate, fat, and protein.
Total kilocalories $=680\mathrm{kcal}+590\mathrm{kcal}+240\mathrm{kcal}$

                              $=1510kcal$

Therefore, the entire kilocalories for meal is $1510kcal$

Step 5: Given information (c)

(c) A $70.0-kg$ person had a quarter-pound cheeseburger, Irish potato, and a chocolate shake.

Step 6: Explanation (c)

(C) The energy expended for $1$ hour of sleeping is $60 kcal$
Calculate the hours to burn $1510 kcal$as follows:
$1510\mathrm{kcal}\times \frac{1\mathrm{h}}{60\mathrm{kcal}}$$=25\mathrm{h}$
Therefore, the time taken to burn the $1510 kcal$ is $25h$.

Step 7: Given information (d)

(a) A $70.0-kg$ person had a quarter-pound cheeseburger, Irish potato, and a chocolate shake.

Step 8: Explanation (d)

(d) The energy expended for $1$ hour of running is $750 kcal$.
Calculate the hours to burn $1510 kcal$ as follows:
$1510\mathrm{kcal}\times \frac{1\mathrm{h}}{750\mathrm{kcal}}=2\mathrm{h}$
Therefore, the time taken to burn the $1510 kcal$ is $2h.$$2h.$