Chemistry

Chemistry

Problem

The enthalpy change ΔHx\Delta H_x for the conversion 2 SO2(g)+O2(g)→2 SO3(g)2\,\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightarrow 2\,\text{SO}_3(\text{g}) is unknown. The following data are available at 298 K298\,\text{K}: 1. S(s)+O2(g)→SO2(g)\text{S}(\text{s}) + \text{O}_2(\text{g}) \rightarrow \text{SO}_2(\text{g})  ΔH1=−296.8 kJ\Delta H_1 = -296.8\,\text{kJ} 2. SO3(g)→SO2(g)+12 O2(g)\text{SO}_3(\text{g}) \rightarrow \text{SO}_2(\text{g}) + \frac{1}{2}\,\text{O}_2(\text{g})  ΔH2=+98.9 kJ\Delta H_2 = +98.9\,\text{kJ} 3. 2 S(s)+3 O2(g)→2 SO3(g)2\,\text{S}(\text{s}) + 3\,\text{O}_2(\text{g}) \rightarrow 2\,\text{SO}_3(\text{g})  ΔH3=−791.4 kJ\Delta H_3 = -791.4\,\text{kJ} Calculate ΔHx\Delta H_x.

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