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HW8_Answer_ver2 - HW8 Answer Chem340 Spring 2011(Version 2...

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HW8 Answer Chem340 Spring 2011 (Version 2 Updated 4/11/2011) P6.15) Consider the equilibrium CO g   H 2 O g   ± ± ± ± ± ± CO 2 g   H 2 g   . At 1000 K, the composition of the reaction mixture is CO 2 H 2 ( g ) CO( g ) H 2 O( g ) Substance ( g ) 27.1 27.1 22.9 22.9 Mole % a. Calculate K P and G reaction at 1000 K. b. Given the answer to part (a), use the H f of the reaction species to calculate G reaction at 298.15 K. Assume that H reaction is independent of temperature. (a) 1 1 80 . 2 ) 4 . 1 ln( 1000 314 . 8 ln 4 . 1 9 . 22 9 . 22 1 . 27 1 . 27 2 2 2 KJmol K JKmol K RT G x x x x K p o reaction O H CO H CO p (b) 1 - 1 - 1 - o reaction f, 1000 o reaction 15 . 298 1 o C f, o H f, o C f, o H f, o reaction f, mol -29.7kJ ) 1000K 1 - 298 1 ( ) mol kJ 2 . 41 ( 15 . 298 ) mol kJ 80 . 2 ( 1000K 298.15K ) 1000K 1 - 298 1 ( Δ H , G 1000K 298.15K , 2 . 41 ) 5 . 110 ( ) 8 . 241 ( 5 . 393 0 Δ H Δ H Δ H Δ H Δ H 2 2 2 K K K G KJmol K K o reaction O O O
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