Page 481 - Elements of Chemical Reaction Engineering Ebook

452 Steady-State Nonisothermal Reactor Design Chap. 8

TABLE 8-2~. ADIABATIC PFR/PBR ALGORITHM
The elementary reversible gas-phase reaction

IS carried out in a PFR in which pressure drop is neglected and pure A enters the reactor.

Mole balance: (T8-2.1)

Rate law: (T8-2.2)

with (T8-2.3)

(T8-2.4)

Stoichiometry: Gas, E = 0, P = Po

TO
c, = CA0X - (T8-2.6)
T
-r, = kCAo [ (1 -X)-- 4: (T8-2.7)
Combine:
-

Energy balance:
To relate temperature and converslon we apply the energy balance to an adia-
batic PFR. If all species enter at the same temperature, To = To.
Solving Equation (8-50) to obtain the function of conversion yields
T= X[-AH;;,(T,)]+~,,E,,T,+X Aep',TR
(T8-2.8)
C@,~,,+XA~,

If pure A enters and Atp = 0, then

(T8-2.9)

Equations (T8-2.1) through (T8-2.9) can easily be solved using either Simp-
son's rule or an ODE solver.