# 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:

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 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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By Jimmy Raymond

Contact: aj@ajdesigner.com