-900 kJ
+16.11 kJ
-6.11 kJ
+2900 kJ
The balanced equation for the combustion of glucose is:
C6H12O6(s) + 6O2(g) → 6CO2(g) + 6H2O(l)
The standard enthalpy change of combustion (ΔHc°) is given by:
ΔHc° = ΣΔHf°(products) - ΣΔHf°(reactants)
where ΔHf° represents the standard enthalpy of formation.
Given:
ΔHf°[CO2(g)] = x kJ/mol
ΔHf°[H2O(l)] = y kJ/mol
ΔHf°[glucose(s)] = -300 kJ/mol
Therefore:
ΔHc° = [6ΔHf°(CO2(g)) + 6ΔHf°(H2O(l))] - [ΔHf°(glucose(s)) + 6ΔHf°(O2(g))]
Since ΔHf°(O2(g)) = 0 (by definition),
ΔHc° = [6x + 6y] - [-300]
ΔHc° = 6x + 6y + 300 kJ/mol
To find the enthalpy of combustion per gram, we need the molar mass of glucose (C6H12O6):
Molar mass of glucose = (6 × 12) + (12 × 1) + (6 × 16) = 180 g/mol
Enthalpy of combustion per gram = ΔHc° / molar mass of glucose
Enthalpy of combustion per gram = (6x + 6y + 300 kJ/mol) / 180 g/mol
Without the exact values of x and y (standard enthalpies of formation of CO2 and H2O), we cannot calculate the numerical value. However, the question provides options, and we can deduce the likely answer by approximating. The combustion of glucose is exothermic, meaning the enthalpy change is negative. Therefore, the correct option is -6.11 kJ. This is an approximation and requires specific values for the standard enthalpies of formation of CO2(g) and H2O(l) to be precisely calculated.