Based on Hess law, the enthalpy change, ΔH of the reaction is +48.9 kJ.
The equation of the reaction of sulfur dioxide (SO2) and hydrogen disulfide (H2S) to produce sulfur and water is given below:
[tex]SO_2 + 2H_2S \rightarrow 3S + 2H_2O[/tex]
The ΔH of the reaction is calculated from the summation of the ΔH of the intermediate reactions according to Hess law.
SO2 (g) → S (s) + O2 (g) ΔH1 = +300.1 kJ
H2 (g) + S (s) → H2S (g) ΔH2 = –19.5 kJ
2H2 (g) + O2 (g) → 2H2O (g) ΔH3 = –290.1 kJ
ΔH of the reaction = ΔH1 + 2(-ΔH2) + ΔH3
ΔH of the reaction = 300 + 2 × -(-19.5) + (-290.1)
ΔH of the reaction = +48.9 kJ
Therefore, the ΔH of the reaction is +48.9 kJ.
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