Ideal Reactor Design Equations and Formulas Calculator

Chemical Engineering Wastewater Water Treatment


Solving for Completely Mixed Series Reactor Concentration with Pulse Input
Completely Mixed Series Reactor Concentration with Pulse Input
note: maximum value for n is ~170 due to factorial limits

Inputs:

initial concentration (C0)
time (t)
theoretical mean residence time (tR)
number of reactors (n)
unitless

Conversions:

initial concentration (C0)
= 0
= 0
milligram/liter
time (t)
= 0
= 0
second
theoretical mean residence time (tR)
= 0
= 0
second
number of reactors (n)
= 0
= 0

Solution:

concentration at n reactor at time (Cn)
= NOT CALCULATED

Other Units:


Change Equation
Select to solve for a different unknown

Residence Time
theoretical mean residence timetheoretical mean residence time
reactor volumereactor volume
reactor flow ratereactor flow rate

Step input for completely mixed or
continuously stirred tank reactor CSTR
concentration concentration
initial concentrationinitial concentration
timetime
theoretical mean detention timetheoretical mean detention time

Pulse Input for completely mixed or
continuously stirred tank reactor CSTR
concentration concentration
initial concentrationinitial concentration
timetime
theoretical mean detention timetheoretical mean detention time
concentration at n tank in seriesconcentration at n tank in series

Plug Flor Reactor PFR
step input

pulse input
step input:
when t < tR, C = 0
when t >= tR, C = C0

pulse input:
when t = tR, C = C0
when t < tR, C = 0
when t > tR, C = 0

Where
tR=theoretical mean residence time
V=reactor volume
Q=reactor flow rate
C=concentration at time
C0=initial concentration
Cn=concentration at tank n
t=time
n=number of tanks

References - Books:
1) Warren Viessman and Mark J. Hammer. 1993. Water Supply and Pollution Control. Harper Collins College Publishers, Inc. 5th ed.
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