A human requires about 2000 kcal per day. Suppose that all of that energy comes

Question

A human requires about 2000 kcal per day. Suppose that all of that energy comes from pure sugar, which contains 4.0 kcal/g.
A) How many grams of sugar would a person need in a day? Approximately how much would they consume a year? B) Glucose has the chemical formula C6H12O6. If a molecule of glucose is broken down into pure CO2 and water, how many molecules of each would it make? C) Carbon has a molecular weight of 12, hydrogen of 1, and oxygen of 16. What fraction of the mass of sugar molecule would be released as CO2? D) With this diet of pure sugar, how much CO2 would a person release in a year? E) An urban resident of the Baltic region produces about 10 kg of carbon dioxide per day. How does this compare with the amount their body produces just from living? A human requires about 2000 kcal per day. Suppose that all of that energy comes from pure sugar, which contains 4.0 kcal/g.
A) How many grams of sugar would a person need in a day? Approximately how much would they consume a year? B) Glucose has the chemical formula C6H12O6. If a molecule of glucose is broken down into pure CO2 and water, how many molecules of each would it make? C) Carbon has a molecular weight of 12, hydrogen of 1, and oxygen of 16. What fraction of the mass of sugar molecule would be released as CO2? D) With this diet of pure sugar, how much CO2 would a person release in a year? E) An urban resident of the Baltic region produces about 10 kg of carbon dioxide per day. How does this compare with the amount their body produces just from living?
A) How many grams of sugar would a person need in a day? Approximately how much would they consume a year? B) Glucose has the chemical formula C6H12O6. If a molecule of glucose is broken down into pure CO2 and water, how many molecules of each would it make? C) Carbon has a molecular weight of 12, hydrogen of 1, and oxygen of 16. What fraction of the mass of sugar molecule would be released as CO2? D) With this diet of pure sugar, how much CO2 would a person release in a year? E) An urban resident of the Baltic region produces about 10 kg of carbon dioxide per day. How does this compare with the amount their body produces just from living?

Explanation / Answer

A) 5% of total calorie consumption should be sugar consumption
1 gm of sugar has 4kcal
? gm of sugar has 2000kcal
With a diet of pure sugar it should be 500 gms (2000/4)
otherwise, 5% of (2000/4) i.e) 500 gm which is = 0.05*500 = 25 gms of sugar per day
In a year we have 365 days,
with the diet of pure sugar it should be = 2000kcal * 365 = 730000 kcal
otherwise, 25 gms * 365 = 9125 gms of sugar in a year = 9125gm*4kcal/gm = 36500kcal in a year

B) 6 CO2 and 6 H2O molecules are required.

C) mass of C6H12O6 = 6*12 + 12*1 + 16*6 = 180 gm/mol
mass of CO2 = ( 12*1 + 2*16) = 44 gm/mol
mass fraction of sugar molecule released as CO2 = 44 / 180 = 0.2444

D) 0.2444*44 gm/mol * 6 mol of CO2 = 64.5216 gms of CO2 is produced for 1 gm of sugar
1 gm of sugar gives 64.5216 gms of CO2
500 gms of sugar will give ? gms of CO2
32260.8 gms of CO2 or 32.2608 Kg of CO2 is produced in a day
For a year with pure-sugar diet = 32.2608 kg * 365 = 11775.192 Kg of CO2 will be released by a person.

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