Final answer:
The reaction requires 2 moles of oxygen to use up all 4 moles of hydrogen. 2 moles of water molecules are produced. The difference in chemical energy between the reactants and the products is 468.5 kJ/mol, representing a net release of energy.
Step-by-step explanation:
To determine the number of moles of oxygen needed to use up all of the 4 moles of hydrogen, we can use the balanced chemical equation for the reaction:
2H₂ + O₂ → 2H₂O
From the equation, we see that 2 moles of hydrogen react with 1 mole of oxygen to produce 2 moles of water. Therefore, the number of moles of oxygen needed is 4/2 = 2 moles. Similarly, the number of moles of water molecules produced is also 2 moles.
To calculate the difference in chemical energy between the reactants and the products, we need to subtract the sum of the energies required to break the bonds on the reactants side from the sum of the energies released to form the bonds on the products side. From the given information, the energy required to break the bonds is 1840 kJ/mol, while the energy released to form the bonds is 872.8 kJ/mol + 498.7 kJ/mol = 1371.5 kJ/mol. Therefore, the difference in chemical energy is 1840 kJ/mol - 1371.5 kJ/mol = 468.5 kJ/mol. Since the question asks for the absolute value, the difference in chemical energy is 468.5 kJ/mol.
The answer to part B indicates that the reaction releases more energy than it consumes, as the difference in chemical energy is positive. This means that the reaction is exothermic, and the chemical energy decreases during the reaction.