Ideal Reactor Design Equations and Formulas Calculator

Chemical Engineering Wastewater Water Treatment


Solving for Continuously Stirred Tank Reactor Concentration with Step Input
Continuously Stirred Tank Reactor Concentration with Step Input

Inputs:

initial concentration (C0)
time (t)
theoretical mean residence time (tR)


Conversions:

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

Solution:

concentration at time (C)
= 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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