
Anthony T. answered 08/08/24
Patient Science Tutor
Write the given chemical equations like this:
C(s) + O2(g) → CO2(g) ΔH = -393.5 kjmol-1
H2O(g) → H2(g) + ½ O2(g) ΔH = + 241.8 kjmol-1 ( Note the sign change for ΔH since the given equation is written in reverse.
Multiply the second equation by 2 (including the ΔH). This gives:
C(s) + O2(g) → CO2(g) ΔH = -393.5 kjmol-1
2H2O(g) → 2H2(g) + O2(g) ΔH = + 483.6 kjmol-1
Add the last two equations, cancelling out like compounds on each side.
C(s) + O2(g) + 2H2O(g) → CO2(g) + 2H2(g) + O2(g) ΔH = -393.5 kjmol-1 + 483.6 kjmol-1 - = + 90.1 kjmol-1 .
The last equation simplifies to the original equation given in the problem. This procedure is known as Hess's law.
Check math.