The elementary gas-phase reaction A + B ⇄ 2C in Problem P11-8B is now continued and carried out in packed-bed reactor. The entering molar flow rates are F_A0 = 5 mol/s, F_B0 = 2F_A0, and F_I = 2F_A0 with C_A0 = 0.2 mol/dm³. The entering temperature is 325 K and a coolant fluid is available at 300 K.

Additional information:

(a) Co-current heat exchange
(b) Countercurrent heat exchange
(c) Constant heat-exchanger temperature T_a
(d) Compare and contrast your results for (a), (b), and (c) along with those for adiabatic operation and write a paragraph describing what you find.

Data from Problem P11-8B

The elementary gas-phase reaction A + B ⇄ 2C is carried out in a packed-bed reactor. The entering molar flow rates are F_A0 = 5 mol/s, F_B0 = 2FA0, and FI = 2FA0 with C_T0 = 

a. Write the mole balance, the rate law, K_C as a function of T, k as a function of T, and C_A, C_B, C_C as a function of X, p, and T.
b. Write the rate law as a function of X, p, and T.
c. Show the equilibrium conversion is X_e=3KC4–(3KC4)2–2KC(FC4–1)2(KC4–1)
and then plot Xe versus T.
d. What are ΣΘiCPi, Δ_CP, T₀, entering temperature T₁ (rate law), and T₂ (equilibrium constant)?
e. Write the energy balance for adiabatic operation.
f. Case 1 Adiabatic Operation. Plot and then analyze X_e, X, p, and T versus W when the reaction is carried out adiabatically. Describe why the profiles look the way they do. Identify those terms that will be affected by inerts. Sketch what you think the profiles X_e, X, p, and T will look like before you run the Polymath program to plot the profiles
Additional information:

Transcribed Image Text:

CPA=CPB=CPC=20 cal/mol/Kk=0.0002dm6kg mol s@300KCPA=18 cal/mol/Ka-0.00015 kg-1 Ua=320Cals m3 KE-25kcalmolm C=18 mol/spb=1400kgm3AHRx =-20kcalmol@298 x KCPCool=18 cal/mol(coolant)KC-1000@305 x K Plot X, Xe, T, Ta, and -rA down the length of the PFR for the following cases: