reaction engineering
3/28/2014
5.1
Collection and Analysis of Rate
Data
Differential and integral method for batch data
5.2 Method of initial rates
5.3 Method of half lives
Chapter 5
Determine the reaction order and specific reaction rate from experimental data obtained from batch reactors.
Describe how to use numerical difference formulas to analyze experimental data to determine the rate law.
5.1 Differential and integral method for batch data
Describe how the methods of half lives and of initial rate are used to analyze rate data.
1
3/28/2014
When a reaction is irreversible, the reaction order, α and the specific rate constant, k can be determined by
– Differential method
– Integral method
Consider the following reactions that occur in a constant volume batch reactor
A Products
Rate Law :
dN A
rAor
V
dt α -rA kCA
Stoichiome try :
V V0
Combine :
dC α - A kCA dt M ole Balance :
A B (excess) Products
M ole Balance :
Rate Law :
Methods of analyzing rate analysis data:
A. Differential Method
dN A
rAV dt α
-rA kCAC B
Stoichiome try :
V V0
Combine :
-
dC A α
kCAC B dt 1.
The differential method is used for irreversible reactions
2.
Used to determine α and k by numerically differentiating concentration vs. time data
Consider a reaction using a constant volume batch reactor in which A is converted into products
A → Products
Samples are taken and the concentrations of A are recorded as a function of time.
We know the rate equation can be presented as
A ® Products
3.
This method is ONLY applicable when reaction condition is essentially a function of the concentration of only ONE reactant.
Mole Balance:
Rate Law:
Stoichiometry:
Combine:
dN A
= rAV dt a
- rA = kCA
V = V0 dC a
- A = kCA dt -
dCA
kCA dt 2
3/28/2014
To determine reaction order, α and
5.1
Collection and Analysis of Rate
Data
Differential and integral method for batch data
5.2 Method of initial rates
5.3 Method of half lives
Chapter 5
Determine the reaction order and specific reaction rate from experimental data obtained from batch reactors.
Describe how to use numerical difference formulas to analyze experimental data to determine the rate law.
5.1 Differential and integral method for batch data
Describe how the methods of half lives and of initial rate are used to analyze rate data.
1
3/28/2014
When a reaction is irreversible, the reaction order, α and the specific rate constant, k can be determined by
– Differential method
– Integral method
Consider the following reactions that occur in a constant volume batch reactor
A Products
Rate Law :
dN A
rAor
V
dt α -rA kCA
Stoichiome try :
V V0
Combine :
dC α - A kCA dt M ole Balance :
A B (excess) Products
M ole Balance :
Rate Law :
Methods of analyzing rate analysis data:
A. Differential Method
dN A
rAV dt α
-rA kCAC B
Stoichiome try :
V V0
Combine :
-
dC A α
kCAC B dt 1.
The differential method is used for irreversible reactions
2.
Used to determine α and k by numerically differentiating concentration vs. time data
Consider a reaction using a constant volume batch reactor in which A is converted into products
A → Products
Samples are taken and the concentrations of A are recorded as a function of time.
We know the rate equation can be presented as
A ® Products
3.
This method is ONLY applicable when reaction condition is essentially a function of the concentration of only ONE reactant.
Mole Balance:
Rate Law:
Stoichiometry:
Combine:
dN A
= rAV dt a
- rA = kCA
V = V0 dC a
- A = kCA dt -
dCA
kCA dt 2
3/28/2014
To determine reaction order, α and