Endothermic Reaction in a Heated Batch Reactor
Endothermic Reaction in a Heated Batch Reactor
Consider an irreversible endothermic reaction () in a batch reactor heated by a steam jacket at temperature surrounding the reactor. The jacket heat transfer area and coefficient are and . The reactor volume is . The reaction rate constant is given by , with the activation energy and the universal gas constant . The initial concentration of is (0)=2.5mol/ and =(0)(0) is the initial molar ratio. The initial reactor temperature is 30°C. The mass and energy balances are
A+BC
k
T
j
A=5
2
m
U=3.76kJ/(minK)
2
m
V=1200
3
dm
k=0.001
Ea
R
1
T
1
300
e
Ea=83.6kJ/mol
R=8.314KJ/(KmolK)
A
C
A
3
dm
θ
B
C
B
C
A
d
x
A
dt

r
A
c
A
dT
dt
UAT+VΔ
T
j
r
A
H
R
N
A
c
PA
θ
B
c
PB
with =k(1)(),
r
A
c
A
2
(0)
x
A
θ
B
x
A
where is the conversion, is the reactor temperature, is the heat of reaction at 273.15 K, (0)=V(0)is the initial molar amount of , is the reaction rate, and and are the heat capacities of species and , respectively.
x
A
T
Δ
H
R
N
A
C
A
A
r
A
c
PA
c
PB
A
B
This Demonstration plots the conversion and temperature versus time for values of the steam temperature in the jacket, , and the initial molar ratio, .
T
j
θ
B