chemical reaction engineering asynchronous video series
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Chemical Reaction Engineering
Asynchronous Video Series
Chapter 7, Part 1:
PSSH
Enzyme Kinetics
H. Scott Fogler, Ph.D.
Active Intermediates/Free Radicals
Active Intermediates/Free Radicals
Active Intermediates/Free Radicals
Mechanism:
€
r1NO 3* = k1CNOCO2
Active Intermediates/Free Radicals
Mechanism:
€
r2NO 3* = −k 2CNO 3
*
€
r1NO 3* = k1CNOCO2
Active Intermediates/Free Radicals
Mechanism:
€
rNO2= k3CNO 3
* CNO
€
r2NO 3* = −k 2CNO 3
*
€
r1NO 3* = k1CNOCO2
Active Intermediates/Free Radicals
Mechanism:
€
r2NO 3* = −k 2CNO 3
*
€
r1NO 3* = k1CNOCO2
€
rNO2= k3CNO 3
* CNO
€
r3NO2
Pseudo Steady State Hypothesis (PSSH)A* is an active intermediate that is highly reactive. It disappears as fast as it is formed.
€
rA*net
=0
Pseudo Steady State Hypothesis (PSSH)A* is an active intermediate that is highly reactive. It disappears as fast as it is formed.
€
rNO3
* =r1NO3
* +r2NO3
* +r3 NO3
*
€
rA*net
=0
Pseudo Steady State Hypothesis (PSSH)A* is an active intermediate that is highly reactive. It disappears as fast as it is formed.
€
rNO3
* =r1NO3
* +r2NO3
* +r3 NO3
*
€
rA*net
=0
€
r1NO3
* =k1 NO( ) O 2( )
r2NO3
* = −k 2 NO 3*
( )
Pseudo Steady State Hypothesis (PSSH)A* is an active intermediate that is highly reactive. It disappears as fast as it is formed.
€
rNO3
* =r1NO3
* +r2NO3
* +r3 NO3
*
€
rA*net
=0
€
r3NO3
* = −r3 NO2
2= −
k 3
2NO 3
*( ) NO( )
€
r3NO 3
*
−1 =r3NO 2
2
€
r1NO3
* =k1 NO( ) O 2( )
r2NO3
* = −k 2 NO 3*
( )
Pseudo Steady State Hypothesis (PSSH)A* is an active intermediate that is highly reactive. It disappears as fast as it is formed.
€
rNO3
* =r1NO3
* +r2NO3
* +r3 NO3
*
€
rA*net
=0
€
r3NO3
* = −r3 NO2
2= −
k 3
2NO 3
*( ) NO( )
€
r3NO 3
*
−1 =r3NO 2
2
€
k1 NO[ ] O 2[ ]− k 2 NO3*
( ) −k 3
2NO 3( ) NO( ) = 0
€
r1NO3
* =k1 NO( ) O 2( )
r2NO3
* = −k 2 NO 3*
( )
Pseudo Steady State Hypothesis (PSSH)A* is an active intermediate that is highly reactive. It disappears as fast as it is formed.
€
rNO3
* =r1NO3
* +r2NO3
* +r3 NO3
*
€
rA*net
=0
€
r3NO3
* = −r3 NO2
2= −
k 3
2NO 3
*( ) NO( )
€
r3NO 3
*
−1 =r3NO 2
2
€
k1 NO[ ] O 2[ ]− k 2 NO3*
( ) −k 3
2NO 3( ) NO( ) = 0
€
r1NO3
* =k1 NO( ) O 2( )
r2NO3
* = −k 2 NO 3*
( )
Pseudo Steady State Hypothesis (PSSH)
Enzymes: Michaelis-Menten Kinetics
Enzymes: Michaelis-Menten Kinetics
Enzymes: Michaelis-Menten Kinetics
Urea DecompositionA given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below.
Urea DecompositionA given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below.
Urea DecompositionA given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below.
Rate Laws:
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( )
Urea DecompositionA given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below.
€
rE•S = r1E•S + r2E•S + r3E•S
Rate Laws:
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( )
Urea DecompositionA given enzyme can only catalyze only one reaction. Urea is decomposed by the enzyme urease, as shown below.
€
rE•S = r1E•S + r2E•S + r3E•S
Rate Laws:
€
=k1 E( ) S( ) − k 2 E • S( ) − k 3 E • S( ) W( )If
€
E • S( ) =k1 E( ) S( )
k2
+ k3
€
rE•S ≈ 0
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( )
Urea Decomposition
€
E T( ) = E( ) + E • S( )
€
= E( ) +k1
k 2 + k 3
⎛
⎝ ⎜ ⎞
⎠ ⎟ E( ) S( )
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( ) =k1 k 3 E( ) S( )
k2
+ k3
Urea Decomposition
€
E T( ) = E( ) + E • S( )
€
= E( ) +k1
k 2 + k 3
⎛
⎝ ⎜ ⎞
⎠ ⎟ E( ) S( )
€
E( ) =k 2 + k 3
k1
⎛
⎝ ⎜ ⎞
⎠ ⎟E T
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( ) =k1 k 3 E( ) S( )
k2
+ k3
Urea Decomposition
€
rP =k 3 E T
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
€
E T( ) = E( ) + E • S( )
€
= E( ) +k1
k 2 + k 3
⎛
⎝ ⎜ ⎞
⎠ ⎟ E( ) S( )
€
E( ) =k 2 + k 3
k1
⎛
⎝ ⎜ ⎞
⎠ ⎟E T
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( ) =k1 k 3 E( ) S( )
k2
+ k3
Urea Decomposition
€
rP =k 3E TS
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
€
E T( ) = E( ) + E • S( )
€
= E( ) +k1
k 2 + k 3
⎛
⎝ ⎜ ⎞
⎠ ⎟ E( ) S( )
€
E( ) =k 2 + k 3
k1
⎛
⎝ ⎜ ⎞
⎠ ⎟E T
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( ) =k1 k 3 E( ) S( )
k2
+ k3
Urea Decomposition
VMAX
rP
S
€
VMAX
2
Km
€
E T( ) = E( ) + E • S( )
€
= E( ) +k1
k 2 + k 3
⎛
⎝ ⎜ ⎞
⎠ ⎟ E( ) S( )
€
E( ) =k 2 + k 3
k1
⎛
⎝ ⎜ ⎞
⎠ ⎟E T
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
€
rP = ′ k 3 E • S( ) W( ) = k 3 E • S( ) =k1 k 3 E( ) S( )
k2
+ k3
€
rP =k 3E TS
k 2 + k 3
k1
⎛
⎝ ⎜
⎞
⎠ ⎟ + S
Urea Decomposition
Types of Enzyme Inhibition
Types of Enzyme Inhibition
Types of Enzyme Inhibition
Types of Enzyme Inhibition
Types of Enzyme Inhibition
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