To determine the standard enthalpy of combustion of 2 moles of benzene, we need to use the standard enthalpy of formation values provided and apply Hess's Law. Here is a step-by-step explanation:
Given Data:
- Standard enthalpy of formation of benzene (C6H6(l)):
ΔHf(C6H6(l))=48.5kJ/mol
- Standard enthalpy of formation of carbon dioxide (CO2(g)):
ΔHf(CO2(g))=−393.5kJ/mol
- Standard enthalpy of formation of water (H2O(l)):
ΔHf(H2O(l))=−286kJ/mol
Combustion Reaction for Benzene:
C6H6(l)+215O2(g)→6CO2(g)+3H2O(l)
Enthalpy Change Calculation:
Using Hess's Law, the enthalpy change for the reaction can be calculated as follows:
ΔHcomb=[6ΔHf(CO2(g))+3ΔHf(H2O(l))]−ΔHf(C6H6(l))
Substitute the given values:
ΔHcomb=[6×(−393.5)+3×(−286)]−48.5
Perform the calculations:
ΔHcomb=[6×(−393.5)]+[3×(−286)]−48.5
ΔHcomb=[−2361]+[−858]−48.5
ΔHcomb=−3267.5kJ/mol
This value is the enthalpy change for the combustion of 1 mole of benzene.
For 2 Moles of Benzene:
ΔHcomb (2 moles)=2×(−3267.5kJ/mol)
ΔHcomb (2 moles)=−6535kJ
Conclusion:
The standard enthalpy of combustion of 2 moles of benzene is
x=6535kJ
Thus, x=6535.