This page is for your benefit. We will not review it. You need to seek answers to the Why's?
Quest P2.W1M - Mole Balance Example
If you read Pages 5-1 to 5-17 in the white CinChE manual, you could summarize the content, as was done in the table below.
Material Balances - The Big Picture
Process Type
Balance Type
Mass Balances
Molar Balances
Atom Balances
continuous
differential form:
Eq. 5.1d: total mass
Eq. 5.2d: components
Eq. 5.4d: total mass
Eq. 5.5d: components
Eq. 5.1d: total mass
Eq. 5.6d: atoms
batch, semi-batch,
or semi-continuous
integral form:
Eq. 5.1i: total
Eq. 5.2i: components
Eq. 5.4i: total
Eq. 5.5i: components
Eq. 5.1d: total mass
Eq. 5.6i: atoms
See white CinChE manual, Pages 5-1 to 5-9. The first principles for material balances are the differential forms.
The integral forms can be derived from the differential forms as shown on Pages 5-10 to 5-12.
Process operations and process types are described on Pages 5-13 to 5-17.
Mathematical Model Development
{ white CinChE, Pages 4-5 to 4-8 }
a. You have completed the conceptual model for the continuous reactor example (p. 4-9).
b. Step 1:
What are the first principles?
material balances
Why?
c. Step 2:
What type of material balances?
mole
Why?
d. Step 3:
Which total mole balance?
differential form
Why?
Eq. 5.4d
differential :
n F n P 1R I
0
steady-state
e. Step 3:
Which component mole balances?
differential form
Why?
f.
Update List of Assumptions?
continuous, s.s.
Why?
g. Step 6:
Which mixture equations?
mixture P
Why?
h. Step 7:
What is the check equation?
mixture P
Why?
i.
Step 8:
Label independent equations?
Eqns. 1 to 5
Why?
j.
Step 9:
What are the degrees of freedom?
DOF = 2
Why?
k. Step 10:
Write more equations?
conversion
Why?
l.
Step 11:
Write
V o m o n or V o m o n not necessary
Why?
m. Step 12:
Write
Write
n o m o V or n o m o V ideal gas law
composition equations
not necessary
Why?
Why?
n. Step 13:
Is DOF satisfied?
Step 5:
DOF = 4
Why?
This page is for your benefit. We will not review it. You need to seek answers to the Why's?
Quest P2.W1M - Atom Balance Example
If you read Pages 5-1 to 5-17 in the white CinChE manual, you could summarize the content, as was done in the table below.
Material Balances - The Big Picture
Process Type
Balance Type
Mass Balances
Molar Balances
Atom Balances
continuous
differential form:
Eq. 5.1d: total mass
Eq. 5.2d: components
Eq. 5.4d: total mass
Eq. 5.5d: components
Eq. 5.1d: total mass
Eq. 5.6d: atoms
batch, semi-batch,
or semi-continuous
integral form:
Eq. 5.1i: total
Eq. 5.2i: components
Eq. 5.4i: total
Eq. 5.5i: components
Eq. 5.1d: total mass
Eq. 5.6i: atoms
See white CinChE manual, Pages 5-1 to 5-9. The first principles for material balances are the differential forms.
The integral forms can be derived from the differential forms as shown on Pages 5-10 to 5-12.
Process operations and process types are described on Pages 5-13 to 5-17.
Mathematical Model Development
{ white CinChE, Pages 4-5 to 4-8 }
a. You have completed the conceptual model for the continuous reactor example (p. 4-10).
b. Step 1:
What are the first principles?
material balances
Why?
c. Step 2:
What type of material balances?
atom
Why?
d. Step 4:
Which total material balance?
differential form
Why?
Eq. 5.1d
total mass :
e. Step 4:
Which atom balances?
f.
m F m P
steady-state
differential form
Why?
Update List of Assumptions?
continuous, s.s.
Why?
g. Step 6:
Which mixture equations?
mixture P
Why?
h. Step 7:
What is the check equation?
total mass balance
Why?
i.
Step 8:
Label independent equations?
Eqns. 1 to 4
Why?
j.
Step 9:
What are the degrees of freedom?
DOF = 2
Why?
k. Step 10:
Write more equations?
conversion
Why?
l.
Step 11:
Write
V o m o n or V o m o n not necessary
Why?
m. Step 12:
Write
Write
n o m o V or n o m o V ideal gas law
composition equations
not necessary
Why?
Why?
n. Step 13:
Is DOF satisfied?
Step 5:
H, O, and N
0
DOF = 4
Why?