Check my work Be sure to answer all parts Coal gasification is a multistep proce

Question

Check my work Be sure to answer all parts Coal gasification is a multistep process to convert coal into cleaner-burning fuels. In one step, a coal sample reacts with saperheated steam AH-129.7 xn (a) Combine the reaction above with the following two to write an overall reaction for the production of methane: H206 kw In the overall reaction, include the physical states of each product and reactant (b) Calculate AHfor this overall change 165k o Using the value in (b) and calculating A for the combustion of methane, find the total heat for geaifjdag 6.2s he of coaland burning the methane formed Assume water forms au a gas and the molar kJ Prex r 30 E

Explanation / Answer

Write the first reaction

C + H2O = CO + H2

H1 = 129.7 kJ

Write the third equation

CO + 3H2 = CH4 + H2O

H3 = - 206 kJ

Add above the reactions for Overall reaction to produce methane

Part a

C(s) + 2H2(g) = CH4 (g)

Part b

H = H1 + H2

H = 129.7 - 206 = 76.3 kJ

Part C

Combustion of methane

CH4(g) + 2O2(g) ? CO2(g) +2H2O(g)

6.25 kg Coal produces = 16*6.25/12 = 8.33 kg methane

H = 2*Hf (H2O) + Hf(CO2) - Hf (CH4)

= 2(-241.8) - 393.5 + 74.81

= - 802.29 kJ/mol x 1 kmol/18 kg x 8.33 kg x 1000 mol/kmol

= 371281 kJ

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