Q. 3.70 - An Introduction to General, Organic, and Biological Chemistry

Question

Your friend, who has a mass of $70.0kg$, has a slice of pizza, a cola soft drink, and ice cream. $\left(3.5\right)$

a. Using Table, 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, determine the number of hours of sitting needed to burn off the kilocalories in this meal.

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

Step-by-Step Solution

Answer

(a) The total Kilocalories for each type of food in this meal is $500 Kcal$, $340 Kcal$ and $80 Kcal.$

(b) The Total Kilocalories for the meal is $920 Kcal$

(c) The number of hours of sitting needed to burn off Kilocalories in this meal is $9 hours$

(d) The number of hours of swimming needed to burn off the Kilocalories in this meal is $2 hours$

Step1: Given information (part a).

Carbohydrate present in pizza, cola, and ice cream is $29g$, $51g$ and $44g$.

The fat present in pizza, cola, and ice cream is $10g$, $0g$ and $28g$.

The protein present in pizza, cola, and ice cream is $13g$, $0g$ and $8g$.

Step 2: Find the total Kilocalories for each type of food in this meal (part a).

The mass of carbohydrate present in pizza, cola, and ice cream is $29g$, $51g$ and $44g$ respectively.

Hence, the total carbohydrate mass is,

$$\begin{gathered} =29+51+44 \\ =124 g \end{gathered}$$

Calculate the energy for each food item based on its mass and energy value, then round to the nearest tenth of a kilocalorie.

Energy (kilocalories) = mass$\times$ energy value of carbohydrate

Find kilocalories for $124g$ of Carbohydrate,

$$\begin{gathered} =124 g\times 9 Kcal \\ =500 Kcal \end{gathered}$$

The fat present in pizza, cola, and ice cream is $10g$, $0g$ and $28 g$

Therefore, the total fat is $10+0+28=38 g$

Calculate the energy by multiplying the mass by the energy value.

$38 g\times 9 Kcal=340 Kcal$

Pizza, soda, and ice cream all include protein value is $13g$, $0g$ and $8g$

Therefore, the total fat is $13+0+8=21 g$

Hence, Find Kilocalories for $21 g$ of proteins

$=21 g\times 4 Kcal=80 Kcal$

Step3: Given information (part b).

The following are the information for calculating the total kilocalories:

The total kilocalories of Carbohydrate is $500 Kcal$

Fat's kilocalories is $340 Kcal$

Protein's total kilocalories is $80 Kcal$

Step4: Find the total kilocalories for the meal (part b).

The total kilocalories for the meal are the sum of the kilocalories of carbohydrate, fat, and protein. 

Therefore,

The total calories is,

$$\begin{gathered} =500+340+80 \\ = 920 Kcal \end{gathered}$$

Hence, the total kilocalories of the meal is $920 Kcal$

Step5: Given Information (part c).

The following are the given information for find the hours of sitting needed to burn off the kilocalories.

One hour of sitting burn off the $100 Kcal$

We need to burn off $920 Kcal$

Step6: The number of hours of sitting needed to burn off Kilocalories in this meal (part c).

The energy expended for one hour of sitting is $100 Kcal$

To burn $920 Kcal$, the number of hours of sitting needed is

$$\begin{gathered} =920\mathrm{kcal}\times \frac{1\mathrm{hour}}{100\mathrm{kcal}} \\ =9 hours \end{gathered}$$

Therefore, the number of hours needed to burn off $920 Kcal$ by sitting is $9 hours$

Step7: Given Information (part d).

The following are the given information for find the hours of swimming needed to burn off the kilocalories.

One hour of swimming burn off $500 Kcal$

We need to burn $920 Kcal$

Step8: The number of hours of swimming needed to burn off the kilocalories (part d).

The energy expended for one hour of swimming is $500 Kcal$.

To burn $920 Kcal$, the number of hour of running needed  

$$\begin{gathered} =920\mathrm{kcal}\times \frac{1\mathrm{hour}}{500\mathrm{kcal}} \\ =2 hour \end{gathered}$$

Hence, hour required for burn off the $920 Kcal$ by swimming needed is $2 hours$