Kinetics Project
By: Courtney Kittel, Rachel Burger, & Caroline Packard
Introduction & Background
● All photosynthetic microbes, such as green algae, gain energy from solar
radiation/sunlight.
● Most photosynthetic microbes are also autotrophic, meaning they derive their
carbon from inorganic carbon sources. (2)
● For all autotrophs, the ATP and NADPH produced from the energy yielding
catabolic reactions are used in the anabolic reactions to reduce CO2 to yield
organic carbon compounds for production of new cells.(2)
● Many algal species are also able to grow as organoheterotrophs, meaning they
can grow without sunlight and they can derive their carbon from organic carbon
sources such as glucose.
The Reactors
● For our project, we wanted to make two algae batch reactors.
○ One reactor will have algae growth medium and stay in the sunlight, while the
other reactor will have glucose medium and be covered in tinfoil.
○ We wanted to see how well the algae grows depending on the energy and carbon
source.
● The algae reactor in the sunlight will be photoautotrophic because it will use light for its
energy source and CO2 for its carbon source (as mentioned before).
○ The reactor will also have a cap on it to simulate an anaerobic environment.
● The algae reactor with glucose and no sunlight will be chemoorganoheterotrophic
because it will use glucose for its energy and organic carbon source.
○ The reactor will stay open to simulate an aerobic environment.
● Both reactors will be given 9 days to grow after inoculation, with samples being taken
each day.
Measuring Algae Growth (XB)
● We measured optical density (OD) of both reactors everyday and used
calibration curves to calculate the TSS concentrations throughout the week.
● A TSS calibration curve from Lab 5 will be used for the algae in sunlight
● The TSS calibration curve for the algae with no sunlight had to be established
during our experiment
● The spectrophotometer was used to measure OD; it was set at 680 nm for the
algae in glucose and 750 nm for the algae in sun.
Measuring Substrate Utilization
● For the algae in glucose reactor,
○ We measured the COD concentration everyday. In order to do this, 0.5 mL of
sample and 2 mL of water were added to COD tubes. After digestion, the
absorbance values of the tubes were measured with a spectrophotometer set
at 600 nm.
○ Using a calibration curve from lab 6, the COD concentration could be
calculated with the measured absorbance values.
● For algae in sunlight reactor,
○ We measured the initial pH, and measured the alkalinity by titration with
0.02N H2SO4. The alkalinity was converted from mol equivalence/L to mg/L
CaCO3.
○ The pH was used to calculate the concentration of H+ and OH-. With the
concentration and alkalinity, the total inorganic carbon (Ct) can be calculated.
○ These measurements were done every other day, totaling 5 measurements
Results & Calculations
Algae in Sunlight
Days: 1 2 3 4 5 6 7 8 9
OD @
750nm
0.063 0.088 0.106 0.124 0.139 0.141 0.135 0.151 0.174
TSS
calc.
[g/L]
0.063 0.094 0.113 0.133 0.149 0.151 0.144 0.161 0.186
OD vs TSS calibration curve
for algae in sunlight
Results & Calculations for Algae in Sunlight
Days Initial
pH
Initial
pOH
Final
pH
Volume
titrated
[mL]
Initial
burette
readin
g [mL]
Final
burette
readin
g [mL]
1 10.36 3.64 4.48 5.0 33.5 38.5
3 10.36 3.64 4.50 5.6 32.7 38.3
5 10.76 3.24 4.45 6.2 30.0 36.2
7 10.89 3.11 4.45 6.1 38.5 44.6
9 11.01 2.99 4.52 5.8 32.5 38.3
Days H+
concentrati
on [mol/L]
OH-
concentr
ation
[mol/L]
Alkalinit
y [mol
eq./L]
Alkalinity
[mg/L]
Ct
[mol/L]
1 4.37E-11 2.29E-04 3.33E-03 1.67E+02 1.55E-03
3 4.37E-11 2.29E-04 3.73E-03 1.87E+02 1.75E-03
5 1.74E-11 5.75E-04 4.13E-03 2.07E+02 1.78E-03
7 1.29E-11 7.76E-04 4.07E-03 2.03E+02 1.65E-03
9 9.77E-12 1.03E-03 3.87E-03 1.93E+03 1.42E-03
Average Biomass Yield (YB) for Algae in Sunlight
YB average = 36.70 (gXB/L) / (g S/L)
Creating the TSS vs OD calibration curve
for the algae in glucose reactor
Sample ID Tin # Mass, dried
sample
+filter [g]
Mass,
clean filter
[g]
Volume
filtered [L]
Weight
gain/loss
[g]
Dry weight
g/L
Optical
density @
680nm
Blank 1 0 1.392 1.392 0.025 0 0.020 0
Blank 2 0-2 1.450 1.451 0.025 -0.001 -0.020 0
25% 25 1.438 1.432 0.025 +0.006 0.260 0.524
25% 25-2 1.431 1.426 0.025 +0.005 0.220 0.524
50% 50 1.128 1.123 0.015 +0.005 0.367 0.825
50% 50-2 1.404 1.392 0.025 +0.012 0.500 0.825
75% 75 1.433 1.423 0.015 +0.010 0.700 1.060
75% 75-2 1.416 1.414 0.020 +0.002 0.125 * 1.060
Results & Calculations
for Algae in Glucose
Days 1 2 3 4 5 6 7 8 9
OD @
680nm
0.057 0.120 0.248 0.664 0.940 1.090 1.160 1.270 1.300
TSS
calc.
[g/L]
0.033 0.070 0.144 0.385 0.545 0.632 0.673 0.736 0.754
OD vs TSS calibration curve for
algae in glucose reactor
Results & Calculations for Algae in Glucose
Days Absorbance
@600nm
COD
Concentration
[g/L]
Glucose
Concentration
[g/L]
1 0.179 2.964 2.777
2 0.259 4.288 4.019
3 0.055 0.911 0.853
4 0.127 2.103 1.971
5 0.049 0.811 0.760
6 0.059 0.977 0.915
7 0.046 0.762 0.714
8 0.028 0.464 0.434
9 0.012 0.199 0.186
COD vs Absorbance
calibration curve
Average Biomass Yield (YB) for algae in glucose
YB average=0.183 (g XB/L) / (g S/L)
TSS Comparison
Substrate (carbon) Comparison
Day 1: Algae on left, Glucose on right. Day 3: Algae on left,
Glucose on right.
Day 4: Algae on left, Glucose on right Day 5: Algae on left,
Glucose on right
Day 8: Algae on left, Glucose on right Day 9: Algae on left,
Glucose on right
STELLA Model for Algae in Sunlight
MBE wrt XB
+mu*XB-b*XB=dXB/dt
MBE wrt S
(-1/YB)*mu*XB=dS/dt
STELLA Model for Algae in Sunlight
STELLA Model for Algae in Glucose
MBE wrt XB
+mu*XB-b*XB=dXB/dt
MBE wrt S
(-1/YB)*mu*XB=dS/dt
STELLA Model for Algae in Glucose
Discussion & Conclusions
● Overall both reactors had algae growth, which was a success!
● The algae without sunlight grew at a faster rate and had higher TSS values than the algae in
sunlight.
● The algae in the sunlight was only able to grow during certain times of the day. Its sole
energy source was the sun, which is only available during the day. The algae with no sun and
with glucose had energy available to it all day, so it was able to grow at a faster rate.
● The substrate calculations also backs this up.
● The STELLA models don’t match up with the data we collected. The STELLA models are very
idealistic instead of realistic. It shows complete substrate utilization which almost never
happens.
● The biomass yields for our data and the STELLA models were also very different. For the
algae in sunlight, it had a higher YB than the STELLA model. For the algae without sunlight, it
had a lower YB than the STELLA model.
Citations
(1) Jesús Zambrano, Ivo Krustok, Emma Nehrenheim, Bengt Carlsson, A simple model for
algae-bacteria interaction in photo-bioreactors, Algal Research, Volume 19, 2016,
Pages 155-161, ISSN 2211-9264, https://doi.org/10.1016/j.algal.2016.07.022.
(http://www.sciencedirect.com/science/article/pii/S2211926416302570 )
(1) Drapcho, C. 2020. Biochemical Pathways-Lithotrophic and phototrophic growth. Unpublished
Lecture 10 Notes, BE 4100, Clemson University, Clemson SC.
(1) Drapcho, C. 2020. Modeling microbial growth with Monod model. Unpublished Lecture 12
Notes, BE 4100, Clemson University, Clemson SC.

Kinetics Project

  • 1.
    Kinetics Project By: CourtneyKittel, Rachel Burger, & Caroline Packard
  • 2.
    Introduction & Background ●All photosynthetic microbes, such as green algae, gain energy from solar radiation/sunlight. ● Most photosynthetic microbes are also autotrophic, meaning they derive their carbon from inorganic carbon sources. (2) ● For all autotrophs, the ATP and NADPH produced from the energy yielding catabolic reactions are used in the anabolic reactions to reduce CO2 to yield organic carbon compounds for production of new cells.(2) ● Many algal species are also able to grow as organoheterotrophs, meaning they can grow without sunlight and they can derive their carbon from organic carbon sources such as glucose.
  • 3.
    The Reactors ● Forour project, we wanted to make two algae batch reactors. ○ One reactor will have algae growth medium and stay in the sunlight, while the other reactor will have glucose medium and be covered in tinfoil. ○ We wanted to see how well the algae grows depending on the energy and carbon source. ● The algae reactor in the sunlight will be photoautotrophic because it will use light for its energy source and CO2 for its carbon source (as mentioned before). ○ The reactor will also have a cap on it to simulate an anaerobic environment. ● The algae reactor with glucose and no sunlight will be chemoorganoheterotrophic because it will use glucose for its energy and organic carbon source. ○ The reactor will stay open to simulate an aerobic environment. ● Both reactors will be given 9 days to grow after inoculation, with samples being taken each day.
  • 4.
    Measuring Algae Growth(XB) ● We measured optical density (OD) of both reactors everyday and used calibration curves to calculate the TSS concentrations throughout the week. ● A TSS calibration curve from Lab 5 will be used for the algae in sunlight ● The TSS calibration curve for the algae with no sunlight had to be established during our experiment ● The spectrophotometer was used to measure OD; it was set at 680 nm for the algae in glucose and 750 nm for the algae in sun.
  • 5.
    Measuring Substrate Utilization ●For the algae in glucose reactor, ○ We measured the COD concentration everyday. In order to do this, 0.5 mL of sample and 2 mL of water were added to COD tubes. After digestion, the absorbance values of the tubes were measured with a spectrophotometer set at 600 nm. ○ Using a calibration curve from lab 6, the COD concentration could be calculated with the measured absorbance values. ● For algae in sunlight reactor, ○ We measured the initial pH, and measured the alkalinity by titration with 0.02N H2SO4. The alkalinity was converted from mol equivalence/L to mg/L CaCO3. ○ The pH was used to calculate the concentration of H+ and OH-. With the concentration and alkalinity, the total inorganic carbon (Ct) can be calculated. ○ These measurements were done every other day, totaling 5 measurements
  • 6.
    Results & Calculations Algaein Sunlight Days: 1 2 3 4 5 6 7 8 9 OD @ 750nm 0.063 0.088 0.106 0.124 0.139 0.141 0.135 0.151 0.174 TSS calc. [g/L] 0.063 0.094 0.113 0.133 0.149 0.151 0.144 0.161 0.186 OD vs TSS calibration curve for algae in sunlight
  • 7.
    Results & Calculationsfor Algae in Sunlight Days Initial pH Initial pOH Final pH Volume titrated [mL] Initial burette readin g [mL] Final burette readin g [mL] 1 10.36 3.64 4.48 5.0 33.5 38.5 3 10.36 3.64 4.50 5.6 32.7 38.3 5 10.76 3.24 4.45 6.2 30.0 36.2 7 10.89 3.11 4.45 6.1 38.5 44.6 9 11.01 2.99 4.52 5.8 32.5 38.3 Days H+ concentrati on [mol/L] OH- concentr ation [mol/L] Alkalinit y [mol eq./L] Alkalinity [mg/L] Ct [mol/L] 1 4.37E-11 2.29E-04 3.33E-03 1.67E+02 1.55E-03 3 4.37E-11 2.29E-04 3.73E-03 1.87E+02 1.75E-03 5 1.74E-11 5.75E-04 4.13E-03 2.07E+02 1.78E-03 7 1.29E-11 7.76E-04 4.07E-03 2.03E+02 1.65E-03 9 9.77E-12 1.03E-03 3.87E-03 1.93E+03 1.42E-03
  • 8.
    Average Biomass Yield(YB) for Algae in Sunlight YB average = 36.70 (gXB/L) / (g S/L)
  • 9.
    Creating the TSSvs OD calibration curve for the algae in glucose reactor Sample ID Tin # Mass, dried sample +filter [g] Mass, clean filter [g] Volume filtered [L] Weight gain/loss [g] Dry weight g/L Optical density @ 680nm Blank 1 0 1.392 1.392 0.025 0 0.020 0 Blank 2 0-2 1.450 1.451 0.025 -0.001 -0.020 0 25% 25 1.438 1.432 0.025 +0.006 0.260 0.524 25% 25-2 1.431 1.426 0.025 +0.005 0.220 0.524 50% 50 1.128 1.123 0.015 +0.005 0.367 0.825 50% 50-2 1.404 1.392 0.025 +0.012 0.500 0.825 75% 75 1.433 1.423 0.015 +0.010 0.700 1.060 75% 75-2 1.416 1.414 0.020 +0.002 0.125 * 1.060
  • 10.
    Results & Calculations forAlgae in Glucose Days 1 2 3 4 5 6 7 8 9 OD @ 680nm 0.057 0.120 0.248 0.664 0.940 1.090 1.160 1.270 1.300 TSS calc. [g/L] 0.033 0.070 0.144 0.385 0.545 0.632 0.673 0.736 0.754 OD vs TSS calibration curve for algae in glucose reactor
  • 11.
    Results & Calculationsfor Algae in Glucose Days Absorbance @600nm COD Concentration [g/L] Glucose Concentration [g/L] 1 0.179 2.964 2.777 2 0.259 4.288 4.019 3 0.055 0.911 0.853 4 0.127 2.103 1.971 5 0.049 0.811 0.760 6 0.059 0.977 0.915 7 0.046 0.762 0.714 8 0.028 0.464 0.434 9 0.012 0.199 0.186 COD vs Absorbance calibration curve
  • 12.
    Average Biomass Yield(YB) for algae in glucose YB average=0.183 (g XB/L) / (g S/L)
  • 13.
  • 14.
  • 15.
    Day 1: Algaeon left, Glucose on right. Day 3: Algae on left, Glucose on right.
  • 16.
    Day 4: Algaeon left, Glucose on right Day 5: Algae on left, Glucose on right
  • 17.
    Day 8: Algaeon left, Glucose on right Day 9: Algae on left, Glucose on right
  • 18.
    STELLA Model forAlgae in Sunlight MBE wrt XB +mu*XB-b*XB=dXB/dt MBE wrt S (-1/YB)*mu*XB=dS/dt
  • 19.
    STELLA Model forAlgae in Sunlight
  • 20.
    STELLA Model forAlgae in Glucose MBE wrt XB +mu*XB-b*XB=dXB/dt MBE wrt S (-1/YB)*mu*XB=dS/dt
  • 21.
    STELLA Model forAlgae in Glucose
  • 22.
    Discussion & Conclusions ●Overall both reactors had algae growth, which was a success! ● The algae without sunlight grew at a faster rate and had higher TSS values than the algae in sunlight. ● The algae in the sunlight was only able to grow during certain times of the day. Its sole energy source was the sun, which is only available during the day. The algae with no sun and with glucose had energy available to it all day, so it was able to grow at a faster rate. ● The substrate calculations also backs this up. ● The STELLA models don’t match up with the data we collected. The STELLA models are very idealistic instead of realistic. It shows complete substrate utilization which almost never happens. ● The biomass yields for our data and the STELLA models were also very different. For the algae in sunlight, it had a higher YB than the STELLA model. For the algae without sunlight, it had a lower YB than the STELLA model.
  • 23.
    Citations (1) Jesús Zambrano,Ivo Krustok, Emma Nehrenheim, Bengt Carlsson, A simple model for algae-bacteria interaction in photo-bioreactors, Algal Research, Volume 19, 2016, Pages 155-161, ISSN 2211-9264, https://doi.org/10.1016/j.algal.2016.07.022. (http://www.sciencedirect.com/science/article/pii/S2211926416302570 ) (1) Drapcho, C. 2020. Biochemical Pathways-Lithotrophic and phototrophic growth. Unpublished Lecture 10 Notes, BE 4100, Clemson University, Clemson SC. (1) Drapcho, C. 2020. Modeling microbial growth with Monod model. Unpublished Lecture 12 Notes, BE 4100, Clemson University, Clemson SC.

Editor's Notes

  • #3 Caroline All photosynthetic microbes (or organisms that perform photosynthesis), such as green algae, gain energy from solar radiation/sunlight. Most photosynthetic microbes are also autotrophic, which means they can also derive their carbon from inorganic carbon sources. (2) For all autotrophs, the ATP and NADPH that are produced from energy yielding catabolic reactions are then used in the anabolic reactions to reduce CO2 … which yields organic carbon compounds for production of new cells.(2) Many algae species are also able to grow as organoheterotrophs, meaning they can grow in the absence of sunlight and they can also get their carbon from organic carbon sources such as glucose.
  • #4 Caroline For our project, we decided to make two different algae batch reactors. One having an algae growth medium… it would be our photoautotrophic reactor and be exposed to sunlight The other would have glucose medium… this was our organoheterotrophic reactor and not exposed to sunlight… and we did this by covering the reactor in tinfoil to block out any light. The difference between the two reactors shows how well the algae grows depending on their energy and carbon sources. Again, the algae reactor in the sunlight will be photoautotrophic because it will use sunlight for its energy source and carbon dioxide for its carbon source The reactor will also have a cap on it which simulates an anaerobic environment. And the algae reactor that contains the glucose medium and is closed off to sunlight will be more specifically chemoorganoheterotrophic because it uses glucose for its energy and organic carbon sources. The reactor will stay open to simulate an aerobic environment. Both reactors were given 9 days to grow after they were inoculated, and we took samples and measurements every day *Talk about how we measured and mixed the mediums in a 1L beaker with a 30mL sample of algae and the rest being water.
  • #5 Caroline So in order to measure the algae growth over time, which would be our XB value... we measured optical density of both reactors everyday and then used those calibration curves to calculate the TSS concentrations throughout the week We used the TSS calibration curve from Lab 5 for the algae in sunlight And then we created the TSS calibration curve for the algae with no sunlight over the course of our experiment We used a spectrophotometer to measure optical density; and set it at 680 nm for the algae in glucose... and 750 nm for the algae in sunlight.
  • #6 Caroline In order to measure the substrate utilized over 9 days... For the algae in glucose reactor, We measured the COD concentration everyday. So, we took 0.5 mL of the sample and 2 mL of water and added them to COD tubes. After digestion, we took the absorbance values of the tubes with a spectrophotometer set at 600 nm. And using a calibration curve from lab 6, we could then calculate the COD concentration using the measured absorbance values. For algae in sunlight reactor, We measured the initial pH of the sample, and then measured the alkalinity by titrating the sample with H2SO4. Then the alkalinity value was converted from ~moles equivalence per liter~ to ~milligrams per liter of calcium carbonate~ The calculated pH was then used to calculate the concentration of hydrogen and hydroxide ions… and with the concentration and alkalinity, we could calculate the total inorganic carbon or CT value The titration measurements were taken every other day for a total of 5 measurements
  • #7 Courtney Calibration curve from lab
  • #8 Courtney
  • #9 Courtney
  • #10 Courtney
  • #11 Courtney- explain why we left the 75-2 point out.
  • #12 Courtney COD calibration curve from lab
  • #13 Courtney
  • #16 Caroline
  • #17 Caroline
  • #18 Caroline
  • #19 Rachel
  • #20 Rachel
  • #21 Rachel
  • #22 Rachel
  • #23 Rachel