Answer:
Check the explanation
Explanation:
The balanced reaction
C6H12O6(s) + 6O2(g) = 6CO2(g) + 6H2O(l)
Standard heat of reaction
Hrxn = 6*Hf(CO2) + 6*Hf(H2O) - 6*Hf(O2) - Hf(C6H12O6)
= 6*(-393.5) + 6*(-285.8) - 6*(0) - (-1274.4)
= - 2801.4 kJ/mol
Part b
Energy consumed by a person = 150 kJ/kg x 57 kg = 8550 kJ
Moles of glucose required = 8550 kJ / (2801.4 kJ/mol)
= 3.052 mol
Mass of glucose required = moles x molecular weight
= 3.052 mol x 180.156 g/mol
= 549.84 g
Part c
1 person requires = 3.052 mol
275 million person require = 275*10^6*3.052 = 8.39 x 10^8 mol
From the stoichiometry of the reaction
1 mol glucose produces = 6 mol CO2
8.39 x 10^8 mol glucose produces = 6*8.39*10^8
= 5.036 x 10^9 mol CO2
Mass of CO2 produced = moles x molecular weight
= 5.036 x 10^9 mol x 44 g/mol
= 2.22 x 10^11 g x 1kg/1000g
= 2.22 x 10^8 kg x 1million/10^6
= 222 million kg
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