What mass of glucose in kg

What mass of glucose in kg

 

 

At the end of 2009, global population was about 6.8 billion people. What mass of glucose in kg would be needed to provide 1500 Cal/person/day of nourishment to the global population for one year? Assume that glucose is metabolized entirely to CO2(g) and H2O(l).

C6H12O6(s) + 6O2(g) → 6CO2(g) + 6H2O(l) ; ΔH = -2803 kJ

 

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(6.8*10^9 persons) * (1500 Cal/person/day) * (365 days/yr)

* (4.184 J/Cal) / (2803*10^3 J/mol) * (180.16 g C6H12O6/mol)

= (6.8*10^(9))*(1500)*(365)*(4.184)/(2803*10^(3))*(180.16)

= 1.0×10^12 g/year

= 1.0×10^9 kg/year