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Calculating Activity

You are one of six scientists selected for a mission that will establish the first long-term human outpost in space. Your mission is to calculate the resources required to support one crew member each day. These resources include the amounts of oxygen and glucose you consume, the carbon dioxide and water you produce, and how much energy you use each day.

In the process of respiration, food (such as glucose) and oxygen interact to produce energy for an organism's activities and growth. Carbon dioxide and water are products of this reaction. Determining the exact quantities of substances used and produced is essential to your survival.

Respiration:
C6H12O6 + 6O2 —› 6H2O + 6CO2 + 36 ATP (670 kcal heat energy)
glucose + oxygen —› water + carbon dioxide + energy

Table 1. Calculating Kilogram Inputs and Outputs of Respiration
Measures
Compounds
ATPEnergy
 
Glucose
Oxygen
Water
Carbon dioxide
(moles)
(kcal)
moles
1
6
6
6
36
670
grams (moles x molecular weight)

1x180.16

=

180.16

6x32.00

=

192.00

6x18.02

=

108.12

6x44.01

=

264.06

36
670
kilograms
0.18016
0.19200
0.10812
0.26406
36
670
kg/day
**
 
 
 
 
*

**Note about food masses: To clarify kilogram masses and serving sizes, a Quarter Pounder weighs 0.25 lb. This converts to 0.11 kg (0.25 lb x 1 kg/2.2 lb = 0.11 kg, since 1 kg = 2.2 lb).

1. Calculate the food and energy costs of a 72.7 kg (160 lb) person's daily activities based on the above formula for respiration. Round the total energy (*) to two significant figures (convert all numbers to the right of the two left digits to zero). Place this number in the bottom row of the Energy (kcal) column of Table 1.

Table 2. Computing Kilocalorie Costs of Activities
Activities
(hr/day)
Kilocalorie Costs
(kcal/kg hr) [from calorie table]
Activity Cost (kcal/day)
[Multiply mass in kg x hr x kcal/kg hr]
12.50 hours sitting (includes eating)
1.06
 
8.00 hours of sleeping
1.03
 
0.50 hour of running, 4.3 min/km
14.10
 
1.00 hour of bicycling, for pleasure
4.36
 
2.00 hours of walking, 16 min/km
3.08
 
Total: 24.0 hours
* Total Energy (kcal/day)=sum of column

2. Calculate the kcal/day-to-original kcal ratio [ */670 ] to use as the factor to multiply by the original kg of glucose, oxygen, water, and carbon dioxide from Table 1 to determine how many kg/day of glucose, oxygen, water, and carbon dioxide you will consume or produce during a day's activities. The work is shown for the quantity of glucose required.

Image that shows how to calculate the glucose required.  Please have someone assist you with this.

3. Repeat the calculation above, substituting the appropriate kg of each of the molecules below for the kg of glucose, using the numbers in the kg row of Table 1.

Oxygen required= factor x 0.19200 kg O2= ______ kg/day oxygen
Water produced= factor x 0.10812 kg H2O= ______ kg/day water
Carbon dioxide produced= factor x 0.26406 kg CO2= ______ kg/day carbon dioxide

4. Round your kg/day answers to two decimal places and place your answers in the bottom row of Table1

 

 

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