chemical reaction engineering asynchronous video series chapter 8, part 1: developing the energy...
TRANSCRIPT
![Page 1: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/1.jpg)
Chemical Reaction Engineering
Asynchronous Video Series
Chapter 8, Part 1:
Developing the Energy Balance. Adiabatic Operation
H. Scott Fogler, Ph.D.
![Page 2: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/2.jpg)
Energy Balances
![Page 3: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/3.jpg)
Energy Balances
![Page 4: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/4.jpg)
User Friendly EquationsThese equations relate X and T, and Fi and T
![Page 5: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/5.jpg)
User Friendly EquationsThese equations relate X and T, and Fi and T
![Page 6: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/6.jpg)
User Friendly EquationsThese equations relate X and T, and Fi and T
![Page 7: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/7.jpg)
User Friendly Equations
![Page 8: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/8.jpg)
User Friendly Equations
![Page 9: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/9.jpg)
User Friendly Equations
![Page 10: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/10.jpg)
User Friendly Equations
![Page 11: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/11.jpg)
User Friendly Equations
![Page 12: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/12.jpg)
Energy Balance
![Page 13: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/13.jpg)
Energy Balance
![Page 14: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/14.jpg)
Energy Balance
![Page 15: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/15.jpg)
Energy Balance
![Page 16: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/16.jpg)
Energy Balance
€
H i = H io TR( ) + ˜ C p T − TR( )
![Page 17: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/17.jpg)
Energy Balance
€
H i = H io TR( ) + ˜ C p T − TR( )
![Page 18: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/18.jpg)
Energy Balance
€
H i = H io TR( ) + ˜ C p T − TR( )
![Page 19: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/19.jpg)
Energy Balance
€
H i = H io TR( ) + ˜ C p T − TR( )
![Page 20: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/20.jpg)
Energy Balance
€
H i = H io TR( ) + ˜ C p T − TR( )
![Page 21: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/21.jpg)
From Chapter 1 we have:
€
Fi = Fi0 + υ iFA 0 X
![Page 22: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/22.jpg)
From Chapter 1 we have:
€
˙ Q − ˙ W S + Fi 0H i 0 − Fi 0 H i − H i Fi 0 + υ iFA 0 X( )∑∑∑
€
Fi = Fi0 + υ iFA 0 X
![Page 23: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/23.jpg)
From Chapter 1 we have:
€
˙ Q − ˙ W S + Fi 0H i 0 − Fi 0 H i − H i Fi 0 + υ iFA 0 X( )∑∑∑
€
H i∑ Fi 0 + υ iFA 0 X( ) = H iFi 0 + υ∑ 0H i
ΔHRX
1 2 4 3 4 FA 0 X
€
Fi = Fi0 + υ iFA 0 X
![Page 24: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/24.jpg)
From Chapter 1 we have:
€
˙ Q − ˙ W S + Fi 0H i 0 − Fi 0 H i − H i Fi 0 + υ iFA 0 X( )∑∑∑
€
H i∑ Fi 0 + υ iFA 0 X( ) = H iFi 0 + υ∑ 0H i
ΔHRX
1 2 4 3 4 FA 0 X
€
˙ Q − ˙ W S − Fi 0 H i − H i 0( ) + ΔH RX FA 0 X = 0∑
€
Fi = Fi0 + υ iFA 0 X
![Page 25: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/25.jpg)
From Chapter 1 we have:
€
˙ Q − ˙ W S + Fi 0H i 0 − Fi 0 H i − H i Fi 0 + υ iFA 0 X( )∑∑∑
€
H i∑ Fi 0 + υ iFA 0 X( ) = H iFi 0 + υ∑ 0H i
ΔHRX
1 2 4 3 4 FA 0 X
€
˙ Q − ˙ W S − Fi 0 H i − H i 0( ) + ΔH RX FA 0 X = 0∑
Heat of Reaction
€
H i T( ) = H i TR( ) + ˆ C pi T− TR( )
€
ΔH RX = H iυ i = υ iH io TR( ) + υ 0
ˆ C pi∑∑∑ T− TR( )
€
ΔH RX = ΔH Ro TR( ) + Δ ˆ C p T− TR( )
€
Fi = Fi0 + υ iFA 0 X
![Page 26: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/26.jpg)
From Chapter 1 we have:
€
˙ Q − ˙ W S + Fi 0H i 0 − Fi 0 H i − H i Fi 0 + υ iFA 0 X( )∑∑∑
€
H i∑ Fi 0 + υ iFA 0 X( ) = H iFi 0 + υ∑ 0H i
ΔHRX
1 2 4 3 4 FA 0 X
€
˙ Q − ˙ W S − Fi 0 H i − H i 0( ) + ΔH RX FA 0 X = 0∑
Heat of Reaction
€
H i T( ) = H i TR( ) + ˆ C pi T− TR( )
€
ΔH RX = H iυ i = υ iH io TR( ) + υ 0
ˆ C pi∑∑∑ T− TR( )
€
ΔH RX = ΔH Ro TR( ) + Δ ˆ C p T− TR( )
€
Fi = Fi0 + υ iFA 0 X
€
ΔH RX =da
H D TR( ) +ca
H C TR( ) −ba
H B TR( ) − H A TR( )
![Page 27: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/27.jpg)
€
=H io TR( )+ CPi T− TR( )
€
Fi0 H i − H i0( ) = Fi0Cpi T −Ti0( )∑∑
€
˙ Q − ˙ W S − Fi 0 H i − H i 0( ) + ΔH RX FA 0 X = 0∑
If Ti0=T0
€
˙ Q − ˙ W S + Fi 0C pi T − T0( ) − ΔH RX FA 0 = 0 X∑
![Page 28: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/28.jpg)
€
FA = FA0 1− X( )
Writing the energy balance in terms of conversion:
![Page 29: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/29.jpg)
€
rA
V
∫ dV = FA0 X
Writing the energy balance in terms of conversion:
€
FA = FA0 1− X( )
![Page 30: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/30.jpg)
€
rA
V
∫ dV = FA0 X
Writing the energy balance in terms of conversion:
€
FA = FA0 1− X( )
€
Fi 0C pi T − T0( )∑ = FA 0θ iCpi∑ T − T0( )
![Page 31: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/31.jpg)
€
rA
V
∫ dV = FA0 X
Writing the energy balance in terms of conversion:
€
FA = FA0 1− X( )
€
Fi 0C pi T − T0( )∑ = FA 0θ iCpi∑ T − T0( )
€
˙ Q − ˙ W S + FA 0 X ΔH RX TR( ) + ΔC p T − TR( )[ ] = FA 0 θ iCpi T − T0( )∑
![Page 32: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/32.jpg)
€
rA
V
∫ dV = FA0 X
Writing the energy balance in terms of conversion:
€
FA = FA0 1− X( )
€
Fi 0C pi T − T0( )∑ = FA 0θ iCpi∑ T − T0( )
€
˙ Q − ˙ W S + FA 0 X ΔH RX TR( ) + ΔC p T − TR( )[ ] = FA 0 θ iCpi T − T0( )∑
Neglecting and rearranging:
€
˙ W S
€
˙ Q − FA 0 θ iCpi T − T0( )∑ + FA 0 X ΔH RX TR( ) + ΔC p T − TR( )[ ] = 0
![Page 33: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/33.jpg)
€
FA = FA0 + rAdVV
∫ = FA 0 1− X( )
€
rA
V
∫ dV = FA0 X
€
Fi 0C pi T − T0( )∑ = FA 0θ iCpi∑ T − T0( )
€
˙ Q − ˙ W S + FA 0 X ΔH RX TR( ) + ΔC p T − TR( )[ ] = FA 0 θ iCpi T − T0( )∑
![Page 34: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/34.jpg)
€
FA = FA0 + rAdVV
∫ = FA 0 1− X( )
€
rA
V
∫ dV = FA0 X
€
Fi 0C pi T − T0( )∑ = FA 0θ iCpi∑ T − T0( )
€
˙ Q − ˙ W S + FA 0 X ΔH RX TR( ) + ΔC p T − TR( )[ ] = FA 0 θ iCpi T − T0( )∑
![Page 35: Chemical Reaction Engineering Asynchronous Video Series Chapter 8, Part 1: Developing the Energy Balance. Adiabatic Operation H. Scott Fogler, Ph.D](https://reader031.vdocument.in/reader031/viewer/2022020417/5697bfdd1a28abf838cb17db/html5/thumbnails/35.jpg)
€
FA = FA0 + rAdVV
∫ = FA 0 1− X( )
€
rA
V
∫ dV = FA0 X
€
Fi 0C pi T − T0( )∑ = FA 0θ iCpi∑ T − T0( )
€
˙ Q − ˙ W S + FA 0 X ΔH RX TR( ) + ΔC p T − TR( )[ ] = FA 0 θ iCpi T − T0( )∑
T
X
Slope ≈
€
ΔH Rxn
θ iC pi∑