anaerobic fundamentals cod balance
DESCRIPTION
Balance de COD para WWTTRANSCRIPT
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CIE4485
Wastewater Treatment
Prof.dr.ir. Jules van Lier
11. Anaerobic Treatment Fundamentals COD Balance
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13 December 2012
Challenge the future
DelftUniversity ofTechnology
CT4485 Wastewater Treatment
Lecture 5a: Anaerobic Treatment Fundamentals COD balanceProf.dr.ir. Jules van Lier
2Anaerobic Wastewater Treatment
Learning objectives
• What does COD actually means?• Making A COD balance over an anaerobic reactor• How to use the COD balance
IWA: Chapter 16Metcalf & Eddy: Chapt.10
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3Anaerobic Wastewater Treatment
Anaerobic Conversion of Organic Matter
CH4 / CO2
Methanogenesis
Acetogenesis
Mono- and oligomersamino acids, sugars, fatty acids
Organic Polymersproteins carbohydrates lipids
Hydrolysis
Acidogenesis
Volatile Fatty AcidsLactate Ethanol
AcetateH2 / CO2
What happens with the COD?
4Anaerobic Wastewater Treatment
What is Chemical Oxygen Demand (COD) ??
The “theoretical COD” calculation of organic compound
CnHaObNd
is based on a complete oxidation.The amount of required O2 depends on the oxidation state of C:
CnHaObNd
+a-2b
-3d
Oxidation state:
(2b + 3d - a)/n
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5Anaerobic Wastewater Treatment
Chemical Oxygen Demand (COD)
The required number of O2 molecules for the complete oxidation is:
CnHaObNd + ¼ (4n+a-2b-3d) O2 n CO2 + ½(a-3d) H2O + d NH3
The number of electrons made free per atom C in the complete oxidation of CnHaObNd amounts to:
4 – (2b+3d-a)/n (or 4n + a - 2b - 3d)
as +4 is the most oxidized form of C (CO2)
1 O2 accepts max. 4 electrons
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Chemical Oxygen Demand (COD)
In the standardized COD test with bichromate as oxidizer (150°C) almost all organic compounds
CnHaObNd
are completely converted in CO2 and H2O
But: organic N stays reduced and is converted in NH3
(similar to ‘organic O’)
The required number of O2 molecules for the complete oxidation is (no NOx produced, in contrast to BOD test):
CnHaObNd + ¼ (4n+a-2b-3d) O2 n CO2 + ½(a-3d) H2O + d NH3
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7Anaerobic Wastewater Treatment
That is Chemical Oxygen Demand (COD) !!
1 “mol” of organic matter demands: ¼ (4n+a-2b-3d) moles O2 or 8(4n+a-2b-3d) g O2
Theoretical COD calculation:CODt = 8(4n+a-2b-3d)/(12n+a+16b +14d)
mg COD/mg CnHaObNd
CnHaObNd + ¼ (4n+a-2b-3d) O2 n CO2 + ½(a-3d) H2O + d NH3
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9Anaerobic Wastewater Treatment
What is Total Organic Carbon (TOC) ??
Organic matter measured as CO2 after incineration(corrections needed for inorganic carbon in waste sample)
TOCt = 12n / (12n + a + 16b + 14d) g TOC/gCnHaObNd
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g COD and g TOC per g organic compound (no ‘N’)
Compound n a b g COD (g CnHaOb)
g TOC (g CnHaOb)
COD/TOC ratio
Oxalic acid 2 2 4 0.18 0.27 0.67 Formic acid 1 2 2 0.35 0.26 1.33 Citric acid 6 8 7 0.75 0.38 2.00 Glucose 6 12 6 1.07 0.40 2.67 Lactic acid 3 6 3 1.07 0.40 2.67 Acetic acid 2 4 2 1.07 0.40 2.67 Glycerine 3 8 3 1.22 0.39 3.11 Phenol 6 6 1 2.38 0.77 3.11 Ethylene glycol 2 6 2 1.29 0.39 3.33 Benzene 6 6 0 3.08 0.92 3.33
Acetone 3 6 1 2.21 0.62 3.56 Palmitic acid 16 32 2 3.43 0.75 3.83 Cyclohexane 6 12 0 3.43 0.86 4.00 Ethylene 2 4 0 3.43 0.86 4.00 Ethanol 2 6 1 2.09 0.52 4.00 Methanol 1 4 1 1.50 0.38 4.00 Ethane 2 6 0 3.73 0.80 4.67 Methane 1 4 0 4.00 0.75 5.33
Ratio COD / TOC: 8(4n+a-2b-3d)/(12n) = 8/3 + 2(a-2b-3d)/(3n)
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11Anaerobic Wastewater Treatment
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Calculating the Theoretical Methane Production
Oxidation state of biodegradable compound:
CnHaObNd
+ a
- 2b
- 3d
Oxidation state:
2b + 3d - an
Theoretical methane production depends on: - the biodegradability of the substrate - the oxidation state of the organic compound
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13Anaerobic Wastewater Treatment
-4 -2 0 2 4
MEAN OXIDATION STATE OF CARBON
CO
MP
OS
ITIO
N O
F T
HE
BIO
GA
S
0 CH4
100 CO
2
CH450 CO
2
100 CH4
0 CO
2
Urea
Oxalic acid
Citric acid
Carbohydrates, Acetic acid
Proteins
Algae, Bacteria
Fats
Methanol, Methylamine
Formic acid, Carbon monoxide
Theoretical CH4 / CO2 production of various organic compounds
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Methane Production from CnHaObNd
Basic principles:
- part of C will be completely reduced (CH4)- the other part of the C will be completely oxidized (CO2)- N and O stay completely reduced- the average oxidation state of C stays the same
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15Anaerobic Wastewater Treatment
Methane Production from CnHaObNd
Assumption:
- fraction X of C goes to reduced CH4 (oxidation state C = -4)
- fraction (1-X) of C goes to oxidised CO2 (oxidation state C = +4)
Since the oxidation state does not change:
-4X + 4(1-X) = 2b + 3d - an
x = (a - 2b - 3d)/8n + 4/8
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Methane Production from CnHaObNd
x = (a - 2b - 3d)/8n + 4/8
so CnHaObNd is converted in:
substitution of x gives: …...
n.x.CH4
n. (1-x).CO2
d NH3
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17Anaerobic Wastewater Treatment
Methane Production from CnHaObNd
CnHaObNd n • X CH4 + n • (1-X) CO2 + d NH3
(n/2 + a/8 – b/4 – 3d/8) CH4 (n/2 – a/8 + b/4 + 3d/8) CO2
Buswell’s formula
x = (a - 2b - 3d)/8n + 4/8
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Buswell’s formula
Theoretical CH4-yield for a compound CnHaObNd follows from:
CnHaObNd + (n – a/4 – b/2 + 3d/4) H2O
(n/2 + a/8 – b/4 – 3d/8) CH4 + (n/2 – a/8 + b/4 + 3d/8) CO2 + d NH3
Actual methane production differs owing to:
- Limited biodegradability of compounds- Part of organic matter is used for cell growth (bacterial yield) - Possible presence of alternative electron acceptors- High solubility of CO2 / HCO3
- in the water fraction (influences ratio CO2/CH4, not CH4 production)
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COD ‘consumed’ by alternative electron acceptors
1. COD oxidation with sulphate
2. COD oxidation with sulphite
3. COD oxidation with nitrate
Stochiometric calc.: 1 mol SO42- ~2 mol O2
1g SO42- => 0.67 g COD
1 g SO32- => 0.6 g COD
1 g NO3- => 0.65 g COD
1 g NO3- -N => 2.86 g COD
Required COD to be calculated from complete reduction reaction
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222
4
8 SSe
COSHSOCOD
24
222
3
6 SSe
COSHSOCOD
05
22
5
32
NNe
CONNOCOD
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964 5 7 8
pH
1.0
0.4
0.6
0.9
0.8
0.7
0.5
0.3
0.2
0.1
0
Propionate
ButyrateAcetate
pH and the CO2 fraction in the biogas
At low pH:
CH3COOH CH4 + CO2
At neutral pH:
CH3COO- + H2O CH4 + HCO3
-
CH3COOH CH3COO- + H+
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Metabolism generated alkalinity from protein degradation: decrease in biogas CO2
CnHaObNd + (n - a/4 - b/2 + 3d/4) H2O (n/2 + a/8 - b/4 - 3d/8) CH4 + (n/2 - a/8 + b/4 + 3d/8) CO2 + d NH3
H2O OH- + H+
+
d NH4+
CO2 + H2O H2CO3 H+ + HCO3-
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23Anaerobic Wastewater Treatment
-4 -2 0 2 4
MEAN OXIDATION STATE OF CARBON
CO
MP
OS
ITIO
N O
F T
HE
BIO
GA
S
0 CH4
100 CO
2
CH450 CO
2
100 CH4
0 CO
2
Urea
Oxalic acid
Citric acid
Carbohydrates, Acetic acid
Proteins
Algae, Bacteria
Fats
Methanol, Methylamine
Formic acid, Carbon monoxide
Theoretical CH4 / CO2 production of various organic compounds
Actual production depends on overall wastewater characteristics !
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0.00
20.00
40.00
60.00
80.00
100.00
120.00
0.00 1.00 2.00 3.00 4.00 5.00 6.00
COD/TOC ratio
CH
4 in
bio
gas
(%)
+4 0 -4-2+2
CH4
Ethane
Methanol, ethanolPalmitic acid
AcetoneBenzene, ethylene glycolGlycerine, phenol
Acetate, glucose, lactic acid
Citric acid, Glycine
Formic acid
Oxalic acid
CO2
Betaine (trimethyl glycine)
Insuline
Phenyl alanine
“C” mean oxidation state
Theoretical CH4 / CO2 production based on COD/TOC ratio
Expected CH4 %in biogas: 18.75 x COD/TOC
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Conversion CH4 production - CODThe oxidation of CH4 requires 2 moles of O2:
CH4 + 2 O2 CO2 + 2H2O
Since “the fraction X” of the compound CnHaObNd that will go to CH4,
The COD of compound CnHaObNd is 2 • “fraction X” mol O2/l or:
2 • (n/2 + a/8 – b/4 – 3d/8) mol O2/l
The “overall” oxidation state of organic compounds will not change during anaerobic conversion:
A COD balance can be made: COD-in = COD-out
x = (a - 2b - 3d)/8n + 4/8
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27Anaerobic Wastewater Treatment
COD-Balance
COD influent COD effluent
COD sludge
COD gas
Anaerobic reactor
CODinfluent = CODeffluent + CODgas + CODsludge
Balance always fits !!!
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COD influent: - COD soluble- COD solids- COD colloidal
COD effluent: - COD soluble organic- COD soluble inorganic (e.g. H2S) - COD solids- COD dissolved reduced gases
COD gas: - COD CH4
- COD H2S- COD H2
Measurable COD fractions in various compartments
COD sludge: - COD entrapped solids- COD newly grown biomass - COD entrapped
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29Anaerobic Wastewater Treatment
1 mol CH4 = 2 mol O2
22.4 l (STP) CH4 = 64 g O2 or 64 g COD1 l CH4 (STP) = 64/22.4 = 2.86 g COD
Or: 1 g COD = 0.35 l CH4 (STP)
Working with the COD BalanceCOD equivalents in produced gas:
COD equivalents in sludge:
1 g sludge - VSS = 1.42 g COD(based on heterotrophic biomass:
C5H7O2N 113 g VSS per mol X)
Question: what is the biogas and sludge production in a UASB treating sugar mill wastewater: - Q = 500 m3/day
- COD = 3.5 kg/m3
- Sludge Yield = 10%- Efficiency = 90%
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Set up COD Balance
3.5 * 500 = 1750 kg COD/day
90% efficiency = 10% in effluent= 175 kg COD/day
10% sludge Yield:175 kg sludge COD/day123 kg VSS/day
Balance: 1750 - 175 -175 = 1400 kg COD/dag
Anaerobic reactor
= 1400/2.86 = 489,5 m3 CH4/dag
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31Anaerobic Wastewater Treatment
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CH4/CO2 ratio
What kind of biogas composition do you expect?(Consider sucrose as main component C12H22O11)
X = (a – 2b – 3d)/8n + 4/8 = (22-2*11-0)/(8*12) + 4/8 = 0.5
The composition is 50% CH4 and 50% CO2
• Why CH4 content will be higher in practice?
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33Anaerobic Wastewater Treatment
DimensioningWhat should be the size of the UASB reactor to treat the water?
Use the following equations and assumptions:- reactor volume: Vr=C·Qi/Rv - Volumetric loading rate Rv=10 kg COD/m3/day- Minimum hydraulic retention time Θmin = 8 h = Vr/Qi
- reactor volume: Vr=C·Qi/Rv = 3.5*500/10 = 175 m3
- Minimum hydraulic retention time Θmin = 8 h Θ = 175/500 = 0,35 days = 8.4 hrs > Θmin
so Vr is 175 m3
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35Anaerobic Wastewater Treatment
Factors that affect the applicability of anaerobic treatment
• Composition and fluctuations of organic compounds (SS,biodegradability)
• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4
--, NO3-, etc.)
• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems
36Anaerobic Wastewater Treatment
Factors that affect the applicability of anaerobic treatment
• Composition and fluctuations of organic compounds (SS,biodegradability)
• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4
--, NO3-, etc.)
• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems
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37Anaerobic Wastewater Treatment
The same effluent also contains 0.2 kg SO42-/m3
.What will be the biogas production under these conditions?
Impact of SO42- on the COD Balance
Per g SO42-, 0.67 g COD will be oxidized:
0.2 kg/m3 * 500 m3/day = 100 kg SO42- / day and thus
67 kg COD consumption
This gives 1400-67=1333 kg CH4-COD/day produced = 466 m3 CH4/day (and 22,4 m3 of H2S if solubility is 0.015 g/L)
26
222
4
8 SSe
COSHSOCOD 1 mol SO42- ~ 2 mol O2
2 mol of COD (64 g)
38Anaerobic Wastewater Treatment
Factors that affect the applicability of anaerobic treatment
• Composition and fluctuations of organic compounds (SS,biodegradability)
• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4
--, NO3-, etc.)
• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems
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39Anaerobic Wastewater Treatment
Effects of pH on anaerobic digestionDirect
• effect on enzyme activity
(charge / tertiary structure of proteins)
• Indirect
• affecting toxicity of various compounds (H2S, NH3, VFA)
• affecting the availability of nutrients
(e.g. by affecting the solubility)
• affecting the availability of substrates (e.g. at pH<6.1, milk
proteins coagulate which makes them less available)
• affecting the availability of CO2
(very low pCO2 at pH>8.0.)
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4 5 6 7 8 9
Hydrolysis
Acidogenesis
Acetogenesis
Methanogenesis
acetate
hydrogen
pH range methane digestion
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41Anaerobic Wastewater Treatment
Buffer systems
Buffering capacity: capacity of solution to resist pH changes (e.g. added H+ will be neutralised by buffer system)
Buffer system is usually brought by: mixture of weak acid and its conjugate base. The optimum pH of a buffer depends on the pKa/pKb value of the acid/base applied
N.B.:term for buffering capacity with respect to acids: alkalinity, Especially brought by bicarbonate
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Buffers in AWWT
“Useful” buffers are active in the neutral pH range (6 – 8).
23332 // COHCOCOH HAcNaAc /
2442 / HPOPOH
34 / NHNH
pKa = 6.3 pKa = 10.3 pKa = 4.8
pKa = 7.2 pKa = 9.3
pH = pKa + log (A-/ HA) HSSH /2
pKa = 7.1
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43Anaerobic Wastewater Treatment
Bicarbonate alkalinity
CH3COO- Na+ CH4 + HCO3-
Bicarbonate is generated in the digestion process itself (metabolism generated alkalinity)
If a solution of 5 g NaAc is digested the produced alkalinity is 5/82 = 60 mmol or 60 meq HCO3
-.
44Anaerobic Wastewater Treatment
Metabolism Generated Alkalinity
(digestion of protein)
Assume wastewater contains 2 g/l proteins (~C3H7O2N)
MW= 89 g
1 mole C3H7O2N => 1 mole NH4+-N
2/89 mole =>2/89 mole NH4+-N, or 22 mmole or 22 meq NH4
+-N
This will “bind” 22 meq HCO3-
3242273 NHCO2CHOH2NOHC
43242273 NHHCOCOCHOH2NOHC (pH = 7)
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45Anaerobic Wastewater Treatment
HENRY’S LAW
H2CO3 HCO3- +
H+
CO3- + 2
H+H2O
+CO2 (l)
CO2 (g)
CCO2(l) = H . PCO2
46Anaerobic Wastewater Treatment
PREDICTING THE pH
Where; KH=(H*R*T)-1= henry’s constant (M atm-1)H=henry’s factor =[CO2]g/[H2CO3]aq=1.2R=0.082057 atm deg-1M-1
T= degrees Kelvin (°C+273)PCO2= partial pressure CO2 atm= (%CO2)/100Ka= dissociation constant H2CO3=10-6.3
[HCO3-]=bicarbonate alkalinity (M)=[ALK]-[VFA]
2COH32 PK*]COH[
*]COH[
]HCO[]H[Ka
32
3
2COH3
32 PKKa
]HCO[]H[*]COH[
]HCO[
KaPK]H[
3
COH 2
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47Anaerobic Wastewater Treatment
][][ 2
3
H
KaPKHCO COH
48Anaerobic Wastewater Treatment
Factors that affect the applicability of anaerobic treatment
• Composition and fluctuations of organic compounds (SS,biodegradability)
• Waste water strength + fluctuations• Temperature + fluctuations• Availability of nutrients (N, P, micro-nutrients)• Buffer capacity / pH• Presence of alternative electron acceptors (SO4
--, NO3-, etc.)
• Risk of formation of inorganic precipitates• Risk of formation of scum layers and/or flotation layers• Presence of toxic compounds • Odor problems
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49Anaerobic Wastewater Treatment
Temperature
• Affects metabolic activity of bacteria
• Affects transfer and solubility of gases
• Affects settleability of biological solids
• Reaction decreases with decreasing temperature (Arrhenius)
• Final degradation extent is proportional to temperature
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Bacterial Classification on Growth Temperature
I psychrophilic <20°CII mesophilic 20-40 °CIII thermophilic >45°C
(arbitrary borders)
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51Anaerobic Wastewater Treatment
Digestion rate at mesophilic temperatures
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Differences in growth rate mesophiles -thermophiles
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53Anaerobic Wastewater Treatment
Temperature effects on immobilized sludge systems
S
d
35ºC30ºC25ºC
- Maximum activity determined by mass transfer limitation
- Under optimum conditions only outer layer is active
- Decrease in temperature affects bacterial conversion rate but ‘granule activity’ is not affected
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