SLIDE 1 Sef Heijnen, Department of Biotechnology, Faculty of Applied Sciences
Learning about the process: Gas phase balances
SLIDE 2
Broth-Balances Substrate [mol s/h]: Product [mol p/h]: Biomass [mol x/h]:
Completing the picture
Fin cs,in cp,in cx,in Fout cs,out cp,out cx,out O2
d(VLcs)/dt = Rs+Fincs,in – Fout cs,out d(VLcp)/dt = Rp+Fincp,in – Fout cp,out d(VLcx)/dt = Rx+Fincx,in– Fout cx,out
VL cs cp cX
SLIDE 3 cO,in [mol/m3] Fin [m3/h]
(Transport term)
cO,out [mol/m3] Fout [m3/h]
(Transport term)
The oxygen balance for the broth (mol O2/h)
cO [mol/m3]·VL [m3] = NO [mol]
Broth
Broth oxygen balance: (mol O2/h) d(VLcO)/dt = RO + FincO,in - FoutcO,out + TN,O
System boundary Gas
TN,O [mol/h]
(Transfer term)
RO [mol/h]
SLIDE 4 d(NGyO)/dt = 0 + FN,inyO,in – FN,outyO,out - TN,O
yO,in [mol/mol] FN,in [mol air/h]
(Transport term)
yO,out [mol/mol] FN,out [mol gas/h]
(Transport term)
The oxygen balance for the gas phase (mol O2/h)
yO [mol O2 /mol gas]·NG [mol gas] = NO [mol O2]
Broth System boundary Gas
TN,O [mol O2/h]
(Transfer term)
Gas phase oxygen balance:
SLIDE 5 Combined broth/gas O2-balances (mol O2/h)
Broth balance: Gas phase balance: Combined balance: 0 = 0 + FN,inyO,in – FN,outyO,out – TN,O 0 = RO + FincO,in - FoutcO,out + TN,O
- RO = FincO,in - FoutcO,out + FN,inyO,in – FN,outyO,out
Measurements needed to calculate RO: Fin, cO,in, Fout, cO,out, FN,in, YO,in, YO,out, FN,out
SLIDE 6
Fout cC,out TN,C Fin cC,in FN,in yC,in FN,out yC,out NG yC Combined broth/ gas balances CO2: VL cC RC = - FincC,in + FoutcC,out - FN,inyC,in + FN,outyC,out
SLIDE 7 Combined broth/gas balances O2:
How to determine FN,out
Combined broth/gas balances CO2: N2 gas balance:
- RO = Fin cO,in – Fout cO,out + FN,in yO,in – FN,out yO,out
RC = -Fin cC,in + Fout cC,out - FN,in yC,in + FN,out yC,out FN,in (1 - yO,in - yC,in) = FN,out (1 - yO,out - yC,out)
SLIDE 8
Understanding and improving the fermentation process
C6H12O6 C1H1.8O0.5N0.2 (Biomass) C3H8O2 (PDO)
6Rs = 3Rp + 1Rx+ 1RC
C-conservation
CO2 Rs Rp Rx RC
SLIDE 9
Understanding and improving the fermentation process
C6H12O6
6Rs > 3Rp + 1Rx+ 1RC
C-conservation
CO2 Rs Rp Rx RC C1H1.8O0.5N0.2 (Biomass) C3H8O2 (PDO)
SLIDE 10 Understanding and improving the fermentation process
- Unknown by product
- Volatile product/substrate
- Product is degraded
CO2 Rs Rp Rx RC C6H12O6 C1H1.8O0.5N0.2 (Biomass) C3H8O2 (PDO)
SLIDE 11
Understanding and improving the fermentation process
C6H12O6
6Rs < 3Rp + 1Rx+ 1RC
C-conservation
CO2 Rs Rp Rx RC
Measurements Are Wrong
C1H1.8O0.5N0.2 (Biomass) C3H8O2 (PDO)
SLIDE 12 Wrap up:
Learning about the process: Broth and Gas phase balances
Rates
- Cannot be measured, but are calculated from proper
compound balances and measurements Compound Balances
- System boundaries (gas, broth,..)
- Tells you what to measure
- Broth and Gas balances
Learning about the process
- Conservation of element
- Unknown mechanisms working on product/substrate
- Faulty measurements
- Easy opportunities to improve process economy
SLIDE 13
See you in the next unit!