CHEMISTRY HIGH SCHOOL

At the end of 2012, global population was about 7.0 billion people. What mass of glucose in kg would be needed to provide 1200 cal/person/day of nourishment to the global population for one year? Assume that glucose is metabolized entirely to CO₂(g) and H₂O(l) according to the following thermo-chemical equation: C₆H₁₂O₆(s)+6O₂(g)⟶6CO₂(g)+6H₂O(l); ΔH₀ = −2803kJ

Answers

Answer 1
Answer:

Final answer:

To calculate the mass of glucose needed to provide nourishment to the global population for one year, multiply the daily energy requirement by the total number of days and the global population. Convert the energy to mass using the thermo-chemical equation.

Explanation:

To calculate the mass of glucose needed to provide 1200 cal/person/day of nourishment to the global population for one year, we need to determine the total energy required for one year and then convert it to mass using the thermo-chemical equation. First, calculate the total energy required by multiplying 1200 cal/person/day by the total number of days in a year and the global population. Next, convert the energy to kilojoules. Finally, use the energy change given in the thermo-chemical equation to convert the energy to mass of glucose.

  1. Calculate the total energy required: 1200 cal/person/day x 365 days/year x 7.0 billion people.
  2. Convert energy to kilojoules: Total energy in cal x 4.184 J/cal x 10^-3 kJ/J.
  3. Convert energy to mass of glucose: Energy in kJ / energy change in kJ (ΔH₀) in the thermo-chemical equation.

The final result will give you the mass of glucose needed in kilograms.

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Answer:

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