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Question
Combustion of glucose takes place as
\[\ce{C6H12O6_{(s)} + 6O2_{(g)} -> 6CO2_{(g)} + 6H2O_{(g)}}\]; ΔH = −72 kcal mol−1
The energy needed for the production of 1.8 g of glucose by photosynthesis will be ___________.
Options
0.82 kcal
0.72 kcal
8.2 kcal
7.2 kcal
Solution
Combustion of glucose takes place as
\[\ce{C6H12O6_{(s)} + 6O2_{(g)} -> 6CO2_{(g)} + 6H2O_{(g)}}\]; ΔH = −72 kcal mol−1
The energy needed for the production of 1.8 g of glucose by photosynthesis will be 0.72 kcal.
Explanation:
The equation for photosynthesis is the reverse of combustion of glucose.
∴ \[\ce{6CO2_{(g)} + 6H2O_{(g)} -> C6H12O6_{(s)} + 6O2_{(s)}}\]; ΔH = 72 kcal mol−1
Molecular mass of glucose = 180 g mol−1
180 g mol−1 ≡ 72 kcal mol−1
∴ 1.8 g ≡ `(72 "kcal mol"^-1 xx 1.8 "g")/(180 "g mol"^-1)`
= 0.72 kcal