Fugacity: It is derived from Latin, expressed as fleetness or escaping ...

The standard free energy change for the reaction C4H8 (g) C4H6 (g) + H2 (g)
is given by ΔGT 0 =1.03665 X 10 5 – 20.9759T ln T 12.9372 T, where range of ΔGT 0 in J
/ mol and T in K
a) Over what range of T, is the reaction promising from thermodynamic view
point?
b) For a reaction of pure butene at 800K, calculate equilibrium conversion at 1.0
bar & 5.0 bar
c) Repeat part (b) for the feed with the 50 mol% butene and the rest inerts
a. For the reaction at ΔG = 0, T ≈ 812.4 K, above this temperature ΔG <
0, reaction is promising below 550 K, ΔG > 0, reaction is unfavorable,
b. At 800K, ΔG 0 = 1842.16 J / mol
ΔG 0 = - RT ln K, or 1842.16 = - 8.314 ( 800 ) ln K or
K = 1.3191
K = ky P Δn = ky P ( 2- 1 ) = ky P
Therefore at 1.0 bar K = kyP 1.3191 = ky ( 1 )
ky = 1.31910At 5 bar, 1.3191 = ky ( 5 )
ky = 0.26382
Moles in
feed
C4H8 1 1 - X
Moles in product stream yi
(1 – X ) / (1 +
C4H6 X X / (1 + X)
H2 X X / (1 + X)
1 + X
X)