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)                 rxn  = 129.7 kJ

CO(g) + H2O(g) CO2(g) + H2(g)                 rxn  =  -41 kJ

CO(g) + 3H2(g)  CH4(g) + H2O(g)          rxn  =  -206 kJ

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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