
Interpretation:
For the given reaction, the value of ΔrH° for the given oxidation reaction of one mole of glucose is −2803 kJ/mol-rxn has to be verified.
C6H12O6(s)+6O2(g)→6CO2(g)+6H2O(l)
Concept introduction:
The change in the enthalpy of a reaction when reactant is converted into product under standard conditions is called standard enthalpy of reaction.
The expression for standard enthalpy of reaction is,
ΔrH°=∑nΔfH°(products)−∑nΔfH°(reactants) (1)
Here, ΔfH° is the standard enthalpy of formation and n is the number of moles of reactant and product in the balanced chemical reaction.

Explanation of Solution
The value of ΔrH° for the given oxidation reaction of one mole of glucose is calculated below.
Given:
Refer to Appendix L for the values of standard enthalpy of formation.
The standard enthalpy of formation of C6H12O6(s) is −1273.3 kJ/mol.
The standard enthalpy of formation of O2(g) is 0 kJ/mol.
The standard enthalpy of formation of H2O(l) is −285.8 kJ/mol.
The standard enthalpy of formation of CO2(g) is −393.5 kJ/mol.
The given balanced chemical equation is:
C6H12O6(s)+6O2(g)→6CO2(g)+6H2O(l)
The ΔrH° can be calculated by the following expression,
ΔrH°=∑nΔfH°(products)−∑nΔfH°(reactants)=[[(6 mol CO2(g)/mol-rxn)ΔfH°[CO2(g)]+(6 mol H2O(l)/mol-rxn)ΔfH°[H2O(l)]]−[(1 mol C6H12O6(s)/mol-rxn)ΔfH°[C6H12O6(s)]+(6 mol O2(g)/mol-rxn)ΔfH°[O2(g)]]]
Substitute the value of ΔfH°.
ΔrH°=[[(6 mol CO2(g)/mol-rxn)(−393.5 kJ/mol)+(6 mol H2O(l)/mol-rxn)(−285.8 kJ/mol)]−[(1 mol C6H12O6(s)/mol-rxn)(−1273.3 kJ/mol)+(6 mol O2(g)/mol-rxn)(0)]]=−2803kJ/mol-rxn
The value of ΔrH° for the given oxidation reaction of one mole of glucose is −2803kJ/mol-rxn.
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Chapter 24 Solutions
Chemistry & Chemical Reactivity
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