Q.3.57 - An Introduction to General, Organic, and Biological Chemistry

Question

Using energy values from Table 3.8, determine each of the following:

a. the total kilocalories for each meal

b. the total kilocalories for one day

c. If Charles consumes 1800 kcal per day, he will maintain his weight. Would he lose weight on his new diet?

d. If expending 3500 kcal is equal to a loss of 1.0 lb, how many days will it take Charles to lose 5.0 lb?

Step-by-Step Solution

Answer

a. The total kilocalories for each meal is breakfast - $270$kcal, lunch -$420$kcal, dinner -$440$kcal

b. The total kilocalories for one day $1130$ kcal

c. He will lose weight

d. $26$ days

Part (a) Step 1: Given Information

Table

Finding the total kilocalories for each meal. 

Part (a) Step 2: Explanation

Calories intake for breakfast,

one banana = $110\text{ kcal}$, one cup non fat milk = $90\text{ kcal}$, one egg = $70 \text{kcal}$

Total = $110 \mathrm{kcal}+90 \mathrm{kcal}+70 \mathrm{kcal}=270\text{ kcal}$

Calories intake for lunch,

one cup of carrot =$50\text{ kcal}$, one cup non-fat milk =$90\text{ kcal}$,$3$oz ground beef =$220\text{ kcal}$, $1$ apple =$60\text{ kcal}$

Total = $220 \mathrm{kcal}+50 \mathrm{kcal}+60 \mathrm{kcal}+90 \mathrm{kcal} = 420\text{ kcal}$

Calories intake for dinner,

one baked potato =$100\text{ kcal}$ , one cup non fat milk = $90\text{ kcal}$ , chicken = $220\text{ kcal}$ , brocolli = $30\text{ kcal}$

Total = $220 kcal+100 kcal+30 kcal+90 kcal=440\text{ kcal}$

Part (b) Step 1: Given Information

Table,

Finding the total kilocalories for one day

Part (b) Step 2: Explanation

The total kilocalories for one day = calorie intake for breakfast + lunch + dinner

The total kilocalories for one day = $270 \mathrm{kcal}+420 \mathrm{kcal}+440 \mathrm{kcal} = 1130\text{ kcal}$

Part (c ) Step 1: Given Information

Table

Calories consumed by Charles = $1800$ kcal per day 

Part (c) Step 2: Explanation

Calories consumed by Charles = $1800\text{ kcal per day}$

In the new diet, 

Calories consumed by Charles  = $1130 \text{kcal}$ per day

Hence Charles will lose weight due to less calorie intake.

Part (d) Step 1: Given Information

Table

Expending $3500$ kcal =  loss of $1$lb,

Finding the number of days it will take Charles to lose $5$ lb 

Part (d) Step 2: Explanation

Calorie intake in new diet =$1130\text{ kcal}$

Calorie intake in current diet = $1800\text{ kcal}$

Calories lost per day = $1800-1130 = 670\text{ kcal}$

Losing $5 lb$ will burn = $5\times 3500=17500\text{ kcal}$

Time required to burn $17500\text{ kcal}$,

data-custom-editor="chemistry" $=\frac{17500 kcal}{670 kcal/day}=26\text{ days}$

Hence it will take $26$ days.