# PA9 - H o f CaO solid =-635.6 kJ/mol C p,CaO(s = 111.8...

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PROBLEM ANALYSIS #9 (March 30) Problem 1. Limestone (CaCO 3 ) is converted to calcium oxide (CaO) in a continuous kiln. The conversion process is represented by the following reaction: CaCO 3(s) CaO (s) + CO 2 (g) The energy to decompose the limestone is supplied by the combustion of CH 4 in direct contact with the limestone using 50% excess dry air. The CaCO 3 enters the process at 25 °C, and CaO exits at 900 °C. The product gases exit at 200 °C. Using the heat of reaction approach and the heat of formation and sensible heat approach, calculate the maximum number of kg of CaCO 3 that can be processed per 1000 m 3 of CH 4 measured at standard conditions (i.e., 0 °C and 1 atm for gases). Show that the two approaches will produce similar results. H o f , CH4, gas = -74.84 kJ/mol C p (for all gases and vapors): 30 J/mol.K H o f , CaCO3, solid = -1206.9 kJ/mol C p,CaCO3(s) = 234.5 J/molK H
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Unformatted text preview: H o f , CaO, solid = -635.6 kJ/mol C p,CaO(s) = 111.8 J/molK H o f , CO2, gas = -393.51 kJ/mol H o f , H2O, gas = -241.83 kJ/mol Problem 2. Public concern about the increase in carbon dioxide (CO 2 ) in the atmosphere has led to numerous proposals to sequester or eliminate CO 2 . An inventor believes he has developed a new catalyst that can make the following gas phase reaction proceed with 40% conversion of CO 2 : CO 2(g) + H 2(g) H 2 O (g) + CH 4(g) The source of H 2 for the reaction would be from the electrolysis of water using electricity generated from solar cells. Assume that 1.5 mole of CO 2 enter the reactor at 700 °C together with 4 mol of H 2 at 100 °C. At what temperature do the exit gases leave the reactor? Assume that the system is at steady state, the reactor is perfectly insulated, and no work is involved....
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