Ideal Reactor Design Equations and Formulas Calculator
Chemical Engineering Wastewater Water Treatment
Solving for Completely Mixed Series Reactor Concentration with Pulse Input
note: maximum value for n is ~170 due to factorial limits
Inputs:
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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
Step input for completely mixed or
continuously stirred tank reactor CSTR
Pulse Input for completely mixed or
continuously stirred tank reactor CSTR
Plug Flor Reactor PFR
Where
Select to solve for a different unknown
Residence Time
 | theoretical mean residence time |
 | reactor volume |
 | reactor flow rate |
Step input for completely mixed or
continuously stirred tank reactor CSTR
 | concentration |
 | initial concentration |
 | time |
 | theoretical mean detention time |
Pulse Input for completely mixed or
continuously stirred tank reactor CSTR
 | concentration |
 | initial concentration |
 | time |
 | theoretical mean detention time |
| concentration at n tank in series |
Plug Flor Reactor PFR
 
| 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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