Coal gasification is a multistep process to convert coal
Chapter 5, Problem 75P(choose chapter or problem)
Coal gasification is a multistep process to convert coal into cleaner-burning gaseous fuels. In one step, a certain coal sample reacts with superheated steam:
\(\mathrm{C}(\text { coal })+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CO}(\mathrm{g})+\mathrm{H}_{2}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\text {rxn }}^{\circ}=129.7 \mathrm{~kJ}\)
Combine this reaction with the following two to write an overall reaction for the production of methane:
\(\mathrm{CO}(\mathrm{g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \rightarrow \mathrm{CO}_{2}(\mathrm{~g})+\mathrm{H}_{2}(\mathrm{~g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-41 \mathrm{~kJ}\)
\(\mathrm{CO}(\mathrm{g})+3 \mathrm{H}_{2}(\mathrm{~g}) \rightarrow \mathrm{CH}_{4}(\mathrm{~g})+\mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \quad \Delta \mathrm{H}_{\mathrm{rxn}}^{\circ}=-206 \mathrm{~kJ}\)
Calculate \(\Delta \mathrm{H}^{\circ}{ }_{\text {rxn }}\) for this overall change.
Using the value in (b) and calculating the \(\Delta \mathrm{H}^{\circ}{ }_{\text {rxn }}\) for combustion of methane, find the total heat for gasifying \(1.00 kg\) of coal and burning the methane formed (assume water forms as a gas and of coal \(12.00 g/mol\)).
Equation Transcription:
C(coal) + H2O(g) CO(g) + H2(g) H°rxn = 129.7 kJ
CO(g) + H2O(g) CO2(g) + H2(g) H°rxn = -41 kJ
CO(g) + 3H2(g) CH4(g) + H2O(g) H°rxn = -206 kJ
H°rxn
Text Transcription:
C(coal) + H_2O(g) rightarrow CO(g) + H2(g) Delta H°_rxn = 129.7 kJ
CO(g) + H_2O(g) rightarrow CO_2(g) + H2(g) Delta H°_rxn = -41 kJ
CO(g) + 3H_2(g) rightarrow CH_4(g) + H2O(g) Delta H°_rxn = -206 kJ
Delta H°_rxn
1.00 kg
12.00 g/mol)
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