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Ideal Reactor Design Equations and Formulas Calculator
Chemical Engineering Wastewater Water Treatment


Solving for Completely Mixed Reactor Initial Concentration with Step Input

Completely Mixed Reactor Initial Concentration with Step Input


Inputs:
concentration at time (C) 
time (t) 
theoretical mean residence time (tR


Conversions:
C = 0    = 0  milligram/liter
t = 0    = 0  second
tR = 0    = 0  second


Solution:
initial concentration (C0)  =  HAS NOT BEEN CALCULATED 


Other Units:


Change Equation
Select an equation to solve for a different unknown

Residence Time
theoretical mean residence time theoretical mean residence time
reactor volume reactor volume
reactor flow rate reactor flow rate

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

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