The heat of combustion of naphthalene (C10H8 (s)) at constant volume w...
Enthalpy Change Calculation for the Combustion of Naphthalene
Naphthalene (C
10H
8) is an organic compound commonly found in mothballs. The heat of combustion of naphthalene refers to the energy released when one mole of naphthalene undergoes complete combustion. In this case, the heat of combustion was measured at constant volume, which means that no work is done on or by the system during the reaction.
Step 1: Balancing the Combustion Equation
The combustion of naphthalene can be represented by the following balanced chemical equation:
C
10H
8 + 12O
2 → 10CO
2 + 4H
2O
Step 2: Molar Stoichiometry
From the balanced equation, we can see that for every mole of naphthalene combusted, 10 moles of carbon dioxide (CO
2) and 4 moles of water (H
2O) are produced. Therefore, the enthalpy change for the combustion of naphthalene can be calculated by using the enthalpy change for the formation of CO
2 and H
2O.
Step 3: Enthalpy Change Calculation
The enthalpy change for the combustion of naphthalene is equal to the sum of the enthalpy changes for the formation of CO
2 and H
2O:
ΔH = 10ΔH
f(CO
2) + 4ΔH
f(H
2O)
The enthalpy change for the formation of CO
2 and H
2O can be found in standard enthalpy of formation tables. The standard enthalpy of formation for CO
2 is -393.5 kJ/mol, and for H
2O is -285.8 kJ/mol.
Plugging in the values:
ΔH = 10(-393.5 kJ/mol) + 4(-285.8 kJ/mol)
= -3935 kJ/mol - 1143.2 kJ/mol
= -5078.2 kJ/mol
Therefore, the enthalpy change for the combustion of naphthalene is -5078.2 kJ/mol.
Conclusion
The enthalpy change for the combustion of naphthalene was calculated to be -5078.2 kJ/mol. This value represents the energy released when one mole of naphthalene undergoes complete combustion at constant volume. The calculation was based on the balanced chemical equation for the combustion reaction and the standard enthalpy of formation values for CO
2 and H
2