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hw set 1 07 solutions, no 6 part 1

hw set 1 07 solutions, no 6 part 1 - (6)1 The gas phase...

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Unformatted text preview: (6)1 The gas phase reaction A(g) + B(g) = C(g) was studied at 100 and 200°C and at a pressm’e of 1 atm. The following equilibrium mol fractions '1’ were obtained: 100°C 200°C 1 1 ye T 0.172 0.642 1 yA 0.414 0,179 )4; ' 0.414 0.179 1f equimolar quantities of A and B are reacted at 150°C and a pressure of 10 atm, what will be the equilibrium composition? Solution K» 0 T1 61‘ AH“ 1 1 “lK=——— —::>1nK—an= ——7 K1 8 n R T1 T“ 2 i R [Z 1;) S_Becies V A B C Total Composition 1 — a 1 — a a 2 — a ,ng , K: ac = 121th 2 ya : a/(Z—a) : 0422—6?) - P P/l atm — \2 _ 61.1% Y4 LB, )2in1 ) 1 a (P /1 am) (1 a) (P/l atm) 1 atm 1 arm 2—0! 1 0.17 At 100°C, 1 atm: K: —-———-}—C-——- = —————2—— $10035 yAyBLP/ 1 atm) (0.414)(0.414) At 200°C, 1 atm: K: yC 0'642 : 20.037 yAyB(P/1atm) : (0.179)(o.179) AH“ ' : mug/Kl) : ln(20.037/l.0035) = 5282K R Li 1% Z T2 373 473 3,40 At 150°C, 10 atm: an=1r1K1+ —1——i1=1n1.0035+5282[—1——-l- =1.674 R Tl T 373 423 ~ / a(2 — a) m :> 53—330 — (2)2 = a(2 — a) :> a: 0.8643 K : 5.333 = 1 Kyle, B.G., Chemical and Process Thermodynamics, Prentice Hall; 1999 ...
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