CO2 Biofixation and Growth Kinetics of Chlorella vulgaris and Nannochloropsis gaditana.

CO2 biofixation was investigated using tubular bioreactors (15 and 1.5 l) either in the presence of green algae Chlorella vulgaris or Nannochloropsis gaditana. The cultivation was carried out in the following conditions: temperature of 25 °C, inlet-CO2 of 4 and 8 vol%, and artificial light enhancing photosynthesis. Higher biofixation were observed in 8 vol% CO2 concentration for both microalgae cultures than in 4 vol%. Characteristic process parameters such as productivity, CO2 fixation, and kinetic rate coefficient were determined and discussed. Simplified and advanced methods for determination of CO2 fixation were compared. In a simplified method, it is assumed that 1 kg of produced biomass equals 1.88 kg recycled CO2. Advance method is based on empirical results of the present study (formula with carbon content in biomass). It was observed that application of the simplified method can generate large errors, especially if the biomass contains a relatively low amount of carbon. N. gaditana is the recommended species for CO2 removal due to a high biofixation rate-more than 1.7 g/l/day. On day 10 of cultivation, the cell concentration was more than 1.7 × 10(7) cells/ml. In the case of C. vulgaris, the maximal biofixation rate and cell concentration did not exceed 1.4 g/l/day and 1.3 × 10(7) cells/ml, respectively.

Introduction

At present, there is still a debate going on about excessive CO2 emissions and their impact on climate change. It was calculated by Belbute and Pereira (2015) that CO2 emissions are projected to increase from 36,131 Mt in 2013 to almost 51,883 Mt in 2100, and it is about 52.9 % above 2010 levels. However, some other predictions are more pessimistic (e.g., OECD estimated the CO2 emission in 2050 will be as 70 % above the emission in 2010) [1]. It is estimated that the main sources of emissions due to human activities (so-called anthropogenic sources) are industrial processes, such as combustion from stationary chambers (power plants) and from transportation (engines of vehicles). According to International Energy Agency, in 2013, global CO2 emissions reached 32.2 GtCO2, an increase of 2.2 % over 2012 levels. Most of the CO2 anthropogenic emission (more than 46 %) came from coal combustion. Considering CO2 emission from sectors, 42 and 23 % of total value came from “electricity and heat” and “transport,” respectively. The rest of the CO2 emission was related to industry and other activities [2] Moreover, CO2 emissions from passenger cars were calculated as 8.7 % of global energy-related carbon dioxide emissions in 2013 [3]. Microalgae can grow 10–50 times faster than terrestrial plants [4]. The major difference between land plants and algae are the presence/absence of roots, shoots, and leaves that represent sinks for energy. As a result of faster growth rate, CO2 removal efficiency of microalgae is ten times higher than that of terrestrial plants [5] because microalgae can focus more of the captured solar energy on storage as high-energy-density lipids. In the process of photosynthesis, CO2 is converted into sugars, inter alia, with the use of energy derived from the compound called ATP (adenosine triphosphate 5) and with the participation of an enzyme (Rubisco-ribulose bisphosphate carboxylase oxygenase) in the Calvin Cycle [6]. Higher efficiency of photosynthesis means higher carbon dioxide consumption. In the case of land plants, this efficiency is about 1 %, because most of the energy does not reach chloroplasts. Energy reaching plant cells is lost due to non-absorbed wavelengths, reflected and dissipated light, energy dissipated as heat, photorespiration, and respiration [7]. Efficiency of photosynthesis of microalgae can range from 3 % (Spirulina sp.) to 20 % (Chlorella sp.). Moreover, microalgae can be used as feedstock for biofuel production due to high concentration of lipids in cells [8]. Application of microalgae can be noted as a reasonable and efficient way of biofixation of CO2 [6, 9–13].

Species of the genera Chlorella, Scenedesmus, Spirulina, Nannochloropsis, and Chlorococcum are characterized by rapid growth, tolerance to stress factors, and tolerance against high concentrations of CO2, which indicates its effective accumulation and utilization [14-16].

Representatives of both types, Nannochloropsis gaditana and Chlorella vulgaris, are often subject of studies related to cultivation process; however, N. gaditana has not been particularly investigated regarding CO2 biofixation. This issue was preliminary underscored by Skawińska et al. [17]. An advanced analysis is presented in this paper.

Biofixation of CO2 in the presence of algae still needs detailed analysis. Initially, it was assumed in other studies that 1 kg of produced biomass equals 1.88 kg recycled carbon dioxide. However, this simplified method is not accurate. The second, advanced method is based on empirical results of the present study (formula with carbon content in biomass). It will be described more closely in the next section. It assumes that the content of carbon in algae biomass (after their cultivation process) should be taken into account for determination of CO2 biofixation [18, 19].

The aim of this work is to evaluate the CO2 biofixation and growth rate of microalgae: C. vulgaris and N. gaditana. CO2 biofixation was determined by applying a simplified and advanced method which takes into account carbon content in dry biomass of the algae after cultivation.

Materials and Methods

Stock Cultures and Chemicals

Chlorella genus cells are single cells, characterized by small size (2–10 μm diameter), spherical shape, and green color. Representatives of this type were found in fresh water (lakes, ponds) [20]. Species of Nannochloropsis genus are characterized by a spherical or cylindrical shape, exist as single cells with a diameter of 3–4 μm, and are found in salt water reservoirs [21].

Cultures of microalgae: C. vulgaris (freshwater species, strain No. CCAP 211/11D) and N. gaditana (marine species, strain No. CCMP 527) were provided by The University of Almeria (UAL), Spain. Cultures are identified and cataloged in Culture Collection of Algae and Protozoa, Scotland. Glass, water, and medium were sterilized at 200° (thermal incubator) to eliminate bacteria and fungi. Cultivation was carried out under sterile conditions (sterilization, antibacterial filters). Cultivation of freshwater species was carried out on BBM medium containing K2HPO4 75 mg/l, KH2PO4 175 mg/l, MgSO4 × 7H2O 75 mg/l, NaNO3 250 mg/l, CaCl2 × 2H2O 25 mg/l, NaCl 25 mg/l, EDTA–Na4 50 mg/l, KOH 31 mg/l, FeSO4 × 7H2O 5 mg/l, ZnSO4 × 7H2O 1.5 mg/l, and MnCl2 × 4H2O 0.2 mg/l. Cultivation of marine species was carried out on F/2 medium, containing NaNO3 75 mg/l, NaH2PO4 × H2O 5 mg/l, Na2SiO3 × 9H2O 30 mg/l, FeCl3 × 6H2O 3.1 mg/l, Na2EDTA × 2H2O 4.3 mg/l, CuSO4 × 5H2O 10 mg/l, ZnSO4 × 7H2O 22 mg/l, CoCl2 × 6H2O 10 mg/l, and MnCl2 × 4H2O 180 mg/l.

Evaluation of Photobioreactors and Parameters

The cultures were incubated in a reactor with a capacity of 15 l and plastic bottles with a capacity of 1.5 l. The cultivation conditions were as follows: pH of 7, temperature of 25 °C, photoperiod of 8 h, CO2 concentrations of 4 and 8 vol%, gas flow rate of 100 l/h, V/S ratio of 2.44 and 1.98 m for 15 and 1.5 l reactor, respectively, time of incubation of 10 days. It should be explained that comparison of results from different types of reactors is limited. The different reactors have inherently different hydrodynamic mixing, which dictates differential light exposure. Kobayashi et al. compared different types of reactors (80 L aquarium tanks, 1 or 3 L bioreactors, and 80 L hanging bags). They noticed the growth differences in the different types and sizes of cultures. It was explained by the difference of the light penetration and circulation [22]. In the present study, the size was different; however, V/S ratio and shape of reactors were comparable. The cultures were grown in distilled water in order to maintain sterile conditions. The results of experiments conducted in both photobioreactors could have been compared, because the ratio of volume to the surface of reactors (V/S) was similar, i.e., 2.44 and 1.98 for 15 and 1.5 l reactor, respectively. Chlorella species were grown in a reactor with 15 l capacity while Nannochloropsis species in a reactor with a capacity of 1.5 l. Both reactors were lit by artificial light—T5 lamps (Plant grow type, Blau, 4 × 39 W)—emitting white color light (6500 K). These lamps emit light from the blue color spectrum in the wavelength range of 410–460 nm and the red color of the spectrum in the wavelength range of 645 nm–670 nm. This type of lamps enables efficient performance of the process of photosynthesis. The reactors were also lit by daylight. All experiments were carried out at comparable irradiation conditions. It was estimated that artificial irradiation (W/m2) was more than two times higher than daylight irradiation.

Photoperiod was set at 8 h. The cultures were grown at two different concentrations of carbon dioxide, namely 4 and 8 %. Carbon dioxide from a pressurized cylinder was mixed with air pumped by a vacuum pump. Gases were mixed on a tee and then they were introduced into the culture. The concentration of carbon dioxide in the introduced gas was calibrated using a Sick type analyzer (measurement range of 0–40 vol%). The flow rate was 100 l/h.

The pH was determined using a pH meter type pH/Cond 340i WTW. The temperature was measured using a thermoelement coupled with the same pH meter. The pH was calibrated using 0.1 M sodium hydroxide solution. The temperature inside the reactor was maintained using an EHEIM aquarium heater with a power of 25 W. The pH level, temperature, and concentration of carbon dioxide in the inset gas were evaluated each day of the experiment. A sample of the culture (50 ml) was taken every day.

Drops of culture samples were taken and placed in a Marienfeld Thoma chamber. This chamber allows to determine the number of cells in 1 ml of culture. The Thoma chamber was placed under Olympus light microscope at ×400 magnification. The number of cells was counted in 60 small squares of Thoma chamber and an average number of cells was counted per small square. This value was substituted into the formula D = a × b × 4000 × 1000 where D is the number of cells in 1 ml, a the average number of cells in one small square of Thoma chamber, and b the dilution of the culture.

Subsequently, 50 ml of the culture was placed in a centrifuge—MPW 260R Centrifuge. The sample was centrifuged for 30 min at 4 °C at a rotation speed equal to 5000 rev/min. Centrifugation enabled separation of the biomass of microalgae culture with over 97 % efficiency. The supernatant was decanted and the obtained biomass was dried in a thermal test chamber—WAMED 65 W at 70 °C. After drying, the weight of biomass was measured on Sartortius–Secura balance (measurement range of 0.0100 to 220.0000 g, inaccuracy of 0.0001 g) to determine the concentration of biomass in culture (g l−1). Knowing the concentration of biomass, productivity (P, g l−1 day−1) and biofixation of carbon dioxide were measured using Eq. (1):where the symbols stand for C—carbon content in the biomass, P—productivity, MCO2—molar mass of carbon dioxide, and MC—molar mass of carbon. This method of determination of CO2 biofixation is advanced compared to the simplified method. The simplified method assumes that 1 kg of produced biomass equals 1.88 kg recycled carbon dioxide [23, 24].

The carbon content in biomass was determined using an elemental analyzer: Elementar VarioMacroCube CHNS. After 10 days, a part of the cultivation was frozen as an inoculum for the next culture.

Results

Biomass Concentration and Productivity

In order to determine the carbon dioxide biofixation by freshwater and marine microalgae, the productivity was calculated. Productivity is the increase of the weight of biomass per time unit. This parameter was determined by measuring the weight of biomass contained in the volume unit. The above-mentioned parameters were determined each day of the cultivation under the same conditions. Results of the experimental concentration and productivity of species C. vulgaris are shown in Table 1. N. gaditana species are presented in Table 2.

Table 1

Concentration and productivity of a cultivation of Chlorella vulgaris species at CO2 concentrations of 4 and 8 %

Day of cultivation		1	2	3	4	5	6	7	8	9	10
CO2 concentration		4 %
Concentration, g/l	Value	0.4	0.6	0.7	0.8	1.3	1.81	2.58	2.89	3	3.15
	±	0.006	0.008	0.009	0.01	0.02	0.02	0.028	0.03	0.03	0.03
Productivity, g/l/day	Value	0	0.2	0.1	0.1	0.5	0.51	0.77	0.31	0.11	0.15
	±		0.014	0.017	0.019	0.02	0.04	0.05	0.06	0.06	0.07
CO2 concentration		8 %
Concentration, g/l	Value	0.33	0.93	1.13	1.55	1.68	2.2	2.56	3.12	3.25	3.33
	±	0.005	0.011	0.013	0.017	0.019	0.024	0.028	0.03	0.03	0.04
Productivity, g/l/day	Value	0	0.6	0.19	0.4	0.16	0.56	0.36	0.56	0.13	0.08
	±		0.017	0.025	0.03	0.04	0.04	0.05	0.06	0.07	0.07

Table 2

Concentration and productivity of cultivation of Nannochloropsis gaditana species at CO2 concentrations of 4 and 8 %

Day of cultivation		1	2	3	4	5	6	7	8	9	10
CO2 concentration		4 %
Concentration, g/l	Value	0.55	0.58	0.8	1.7	2.2	2.5	3.44	3.92	3.98	4.05
	±	0.36	0.34	0.25	0.12	0.09	0.08	0.06	0.05	0.05	0.05
Productivity, g/l/day	Value	0	0.03	0.22	0.9	0.5	0.3	0.94	0.48	0.06	0.07
	±		0.015	0.018	0.029	0.04	0.05	0.06	0.08	0.08	0.08
CO2 concentration		8 %
Concentration, g/l	Value	0.24	0.54	0.63	1.0	1.5	2.34	3.44	3.76	3.96	4.02
	±	0.8	0.4	0.3	0.20	0.13	0.09	0.06	0.05	0.05	0.05
Productivity, g/l/day	Value	0	0.3	0.09	0.37	0.5	0.84	1.1	0.32	0.2	0.06
	±		0.012	0.016	0.020	0.029	0.042	0.06	0.08	0.08	0.08

Biomass concentration in both algal cultures of C. vulgaris was increasing monotonically along with the duration of the cultivation and reached the maximum level on the last day of cultivation. In both cultures, concentration reached a value of above 3 g/l. The increments of biomass were different between the cultures of this species. In the culture with the concentration of carbon dioxide of 4 %, productivity was gradually increased to reach the maximum value in the middle of the culture period and then it was gradually decreased. A similar dependence in the culture with a concentration of carbon dioxide up to 8 % was not observed. Biomass increments had similar values both at the beginning of the culture and at its end.

In the cultivations of the marine species N. gaditana, concentration of biomass in both cultures exceeded 4 g/l on the last day of cultivation (see Table 2). These values are significantly higher than the concentration of biomass in Chlorella species. A higher concentration of biomass gives a possibility of obtaining not only a larger quantity of biomass with the same volume of culture but also an increase of the carbon dioxide biofixation. The largest increase of biomass per unit of time, both in the culture with 4 % carbon dioxide concentration and with 8 %, was observed after about 5 days from the start of cultivation. In the culture with a higher concentration of carbon dioxide (8 %), productivity exceeded 1 g/l/day.

Biofixation

Biofixation of carbon dioxide was calculated in two ways. At first, using a simplified method (M1), it was assumed that 1 kg of produced biomass equals 1.88 kg recycled carbon dioxide (see M1 values in Table 3) [23]. As a result, the amount of carbon dioxide recycled in the cultures of microalgae species was calculated. In the case of cultures of Chlorella species, the total amount of recycled carbon dioxide during 10 days culture was 5.1 and 5.2 gCO2/l for CO2 concentrations of 4 and 8 %, respectively. In the case of cultures of Nannochloropsis species, the total amount of recycled carbon dioxide was higher, namely 6.3 and 6.9 gCO2/l for CO2 concentrations of 4 and 8 %, respectively (see Table 3).

Table 3

Biofixation of carbon dioxide in cultures of Chlorella vulgaris and Nannochloropsis gaditana calculated using two methods (M1, M2)

Chlorella vulgaris				Nannochloropsis gaditana
M1 (gCO2/l/d)		M2 (gCO2/l/d)		M1 (gCO2/l/d)		M2 (gCO2/l/d)
4 %	8 %	4 %	8 %	4 %	8 %	4 %	8 %
0	0	0.00	0.00	0	0	0.00	0.00
0.4	1.1	0.18	0.55	0.1	0.5	0.05	0.48
0.2	0.3	0.09	0.17	0.4	0.2	0.35	0.15
0.2	0.7	0.09	0.37	1.6	0.7	1.45	0.60
0.9	0.3	0.46	0.15	0.9	0.9	0.81	0.81
0.9	0.9	0.47	0.48	0.5	1.5	0.48	1.36
1.4	0.6	0.71	0.33	1.7	2	1.52	1.77
0.6	1	0.28	0.51	0.9	0.6	0.77	0.50
0.2	0.2	0.10	0.12	0.1	0.4	0.10	0.32
0.3	0.1	0.14	0.07	0.1	0.1	0.11	0.10
5.1	5.2	2.52	2.75	6.3	6.9	5.65	6.08

The first method of calculating the amount of recycled carbon dioxide is affected by a significant error [19]. Therefore, the second method applied assumes the use of Eq. (1) [18]. This allowed for a more accurate calculation of CO2 biofixation. For all cultures, the M2 values were shown in Table 3. The results of the two calculation methods were significantly different only in freshwater species. Values of M2 were twice as high compared to the values obtained using the simplified method. In the advanced method (see M2 values in Table 3), the percentage of carbon in the biomass was estimated using CHNS elemental analyzer. The percentages (mass fractions) of carbon, nitrogen, hydrogen, and sulfur content of the dried biomass of C. vulgaris species were, respectively, C = 25 %, N = 10.6 %, H = 4.5 %, and S = 2.5 %. Results for N. gaditana were C = 44 %, N = 9.8 %, H = 6.9 %, and S = 0.6 %. The rest of each sample were oxygen and ash. These values were used in Eq. (1). Considering N. gaditana species, the difference in biofixation value (calculated by simplified and advanced method) was not so high; however, in the case of C. vulgaris, the differences were dramatically large. The difference in biofixation between species was also significant. N. gaditana assimilated twice as much carbon dioxide as C. vulgaris, as shown in Fig. 1. It was also observed that the amount of recycled carbon dioxide was higher in cultures of both species with carbon dioxide at a concentration of 8 %. Sulfur, nitrogen, and hydrogen content in the biomass were measured using CHNS elemental analyzer.

Fig. 1

Average amount of recycled carbon dioxide in cultures of Chlorella vulgaris and Nannochloropsis gaditana

Compaction of Culture

The cell concentration was calculated each day of conducted cultivation. Example of measurements of culture compaction for C. vulgaris are presented in Fig. 2. Number of cells per 1 ml of culture increased during cultivation. In all cultures, the number of cells on the final day of cultivation exceeded 106 cells/ml. In the case of C. vulgaris on day 10 of cultivation, the cell concentration was 1.2 × 107 and 1.3 × 107 cells/ml for CO2 concentrations of 4 and 8 vol%, respectively. In the case of N. gaditana species, a large number of cells was observed. On day 10 of cultivation, the cell concentration was 1.8 × 107 and 1.7 × 107 cells/ml for CO2 concentrations of 4 and 8 vol%, respectively. This is due to the size of the microalgae. Cells of the saltwater species N. gaditana are significantly smaller than those of the freshwater species C. vulgaris (see Fig. 2).

Fig. 2

Compaction of Chlorella vulgaris culture during 10 days of cultivation

Discussion

The microalgae chemical composition should be discussed. Redfield mentioned that “The formation of organic matter in the autotrophic zone requires all the elements in protoplasm, of which carbon, nitrogen, and phosphorus are of particular concern” [25]. Based on Fleming work [26], Redfield concluded that the ratio of carbon, nitrogen, and phosphorus in the plankton was C/N/P = 106:16:1. Redfield noticed that also some other elements (e.g., sulfur, calcium, magnesium, potassium) existed in the plankton, but these elements were not included in the empirical ratio. In the present work, microalgae composition was estimated as ultimate analysis of solid fuels. The obtained results are consistent with the results reported by other researchers [27-30]. However, the carbon content needs to be discussed. Typical carbon content (i.e., 46–51 w%) [27-30] in C. vulgaris is higher than the value obtained in this research (25 wt%). This analysis was double-checked to eliminate some measurement error. After this procedure, the same value was obtained. In fact, such low value is acceptable. For example, Kim et al. found that carbon content in dry Sargassum sp. was 26.7 wt% [31]. Differences between the cultures could also be attributed to pH drift (caused by CO2 concentrations) or nitrogen depletion, which could indeed vary between the two species and different CO2 culture conditions [32].

It should be underscored that the two methods for the determination of CO2 sequestering gave different results. The method which assumed that 1 g of produced biomass equals 1.8 g recycled CO2 is imprecise [19, 23]. The second method using the following parameters: the percentage of carbon in biomass, molecular weight of C and CO2, and the productivity, is a much more precise method [18]. Estimation of the amount of CO2 captured, calculating using Eq. (1), depends on the carbon content in the biomass. Carbon in the biomass of Chlorella species accounted for 25 % of total biomass; therefore, the calculated amount of CO2 captured (using the second method [2]) was significantly lower than in Nannochloropsis species. Additionally, considering Chlorella species, biofixation calculated using the simplified method was almost twice as high as in the case of calculation based on the advanced method (according to Eq. (1)). The maximum daily utilization of CO2 (calculated from M2) amounted to 0.71 g/l/day in 4 % CO2 culture of Chlorella species and 1.77 g/l/day for Nannochloropsis species in the culture of CO2 concentration of 8 %. Higher productivity means higher rate of biomass growth, and it results in a larger amount of sequestrated carbon dioxide. Higher biofixation was observed in the initial and middle stages of cultivations. Freshwater species of C. vulgaris is characterized by rapid growth. Therefore, Chlorella needs a large amount of carbon derived from carbon dioxide to grow. These microalgae utilized carbon dioxide in the range of 0.1–0.7 gCO2/l/day. At suitably selected optimal conditions during culture of this species is capable of utilizing 1 gCO2/l/day [24]. According to Ho et al. C. vulgaris is able to utilize more than 6 gCO2/l/day in a membrane-type reactor [33]. The advanced method of CO2 biofixation was used by Alhamed et al. [34]. They investigated CO2 biofixation at C. vulgaris species. The maximum fixation rate was found to be 0.415 gCO2/l/day. N. gaditana microalgae have not been studied (regarding CO2 fixation) extensively. In cultivations of similar conditions as in the case of Chlorella species, CO2 can be captured more effectively in the range of 0.1 to 1.8 gCO2/l/day. Table 4 shows a comparison of CO2 fixation in the presence of different algae species. This literature data reviewed by Wang et al. [24] and Ho et al. [33] is compared with the results obtained in this research. It can be noticed that N. gaditana is able to fix a large amount of CO2 compared to other species, including C. vulgaris. Moreover, it has been mentioned earlier that the amount of sulfur in the case of C. vulgaris is more than four times higher compared to Nannochloropsis biomass. Sulfur content is a crucial parameter if the biomass after cultivation is dedicated to fuel processing, e.g., biodiesel. Higher amount of sulfur in the biomass is not desired if algae are considered as feedstock for biofuel production.

Table 4

Comparison of CO2 biofixation (maximum value) by different algae species

Microalgae	CO2 fraction in inlet gas, vol%	T, °C	CO2 fix., g/l/day
Reviewed by Wang et al. [24]
Chlorococcum littorale	40	30	1.0
Chlorella kessleri	18	30	0.163a
Chlorella vulgaris	15	–	0.625
Chlorella vulgaris	Air	25	0.075a
Chlorella sp.	40	42	1.0
Dunaliella	3	27	0.313a
Haematococcus pluvialis	16–34	20	0.143
Scenedesmus obliquus	Air	–	0.031
Botryococcus braunii	–	25–30	>1.0
Scenedesmus obliquus	18	30	0.26
Spirulina sp.	12	30	0.413a
Reviewed by Ho et al. [33]
Anabena sp.	Air	–	1.450
Nannochloropsis sp.	15	–	0.601
Phaeodactylum tricornutum	15	–	0.282
This research (calculated from M2)
Chlorella vulgaris	4	25	0.71
Chlorella vulgaris	8	25	0.55
Nannochloropsis gaditana	4	25	1.52
Nannochloropsis gaditana	8	25	1.77

aCalculated using simplified method

Biofixation of carbon dioxide depends on a variety of factors used in cultivation. CO2 removal efficiency is mainly affected by the following parameters: CO2 concentration in the culture, microalgae species, temperature, pH, and photoperiod but also, to a lesser extent, shape and size of the reactor [22, 35] as well as initial biomass concentration [34]. The impact of each listed parameter is different. It is known that effective utilization of CO2 depends mainly on the type of species and concentration of CO2 introduced into the culture [36]. There are no ideal microalgae species for all applications. Some species are desirable for biofuel production due to high lipid content in the cells; others are characterized by a very rapid growth of biomass. In the future, the key to effective application of microalgae in different industries can be the use of genetic engineering. This will allow to obtain species-linking properties of both rapid growth and high lipid content in the cells [37]. Many species of microalgae are able to survive even if they are exposed to high concentrations of CO2. However, the appropriate concentration in the culture, selected for the particular species, allows for optimal growth. Microalgae grow best at a concentration of CO2 in the range of 4–12 %. The differences in efficiency of biofixation in species of Chlorella and Nannochloropsis were also dependent on the concentration used. In our study, the difference in cultures with carbon dioxide concentrations of 4 and 8 % was negligible. Tang et al. [38] investigated CO2 fixation using Chlorella pyrenoidosa and Scenedesmus obliquus species. The CO2 concentration was varied in the range of 0.03–50 vol%. They reported that optimal concentration of CO2 for efficient fixation was 10 vol%; however, the researchers noticed slight differences in CO2 fixation for CO2 concentration in the range of 5–10 vol%. A maximal CO2 fixation rate was 0.288 gCO2/l/day for S. obliquus.

Kumar et al. [39] reported that CO2 fixation in the presence of Chlorella sorokiniana species equaled more than 3 gCO2/l/day. However, it should be noticed that CO2 biofixation is only one of the many possibilities of microalgae application [39]. C. vulgaris species contains valuable micro- and macroelements beyond biofixation that can be used for other applications. N. gaditana species has a high lipid content so it can be used for production of biofuels [40, 41]. Apart from CO2 fixation, microalgae cultivation can be used for the production of cosmetics, supplements, biogas, bioethanol, and other biofuels.

Illman et al. [42] has appointed cell concentration of several species of the Chlorella genus. Cell concentration was determined using a hemocytometer. This equipment is very similar to the Thoma chamber. The smallest density was indicated by a species of Chlorella protothecoides, namely 0.5 × 106 cell/ml. The highest density was reached by Chlorella emersonii, 6.5 × 106 cells/ml. These values were different between species, depending on the culture conditions (e.g., nitrogen concentration). N. gaditana was investigated by Rocha et al. [43]. After 14 days of cultivation, the maximum density was 5.5 × 107 cells/ml. In our study, the density was estimated above 106 cells/ml. It resulted from rapid growth of both species, using lamps supporting growth and using optimal medium for growth. Assuming sphericity and average cell size, cells surface per unit weight can be estimated. Specific surface area (per culture mass) can be useful for bioreaction modeling including CO2 biofixation.

Kinetics of Growth

The kinetics of growth of microalgae can be considered taking into account the variability of different culture parameters. Béchet et al [44] analyzed the kinetics of growth of microalgae models taking into account the intensity of light, temperature, and other process parameters. To analyze the growth rate, a model used recently by Kumar et al. [39] was applied. The differential form of the model is described by Eq. (2):

The integral form of the kinetic equation iswhere the parameters are C—concentration of algae in the cultivation period, gl−1; t—time, day; Kc—growth rate factor, day−1; Cmax—maximum concentration, gl−1; and C0—the initial value of the concentration, gl−1. Designated coefficient parameters Kc for each species and participation of CO2 in the gases fed to the reactor are shown in Table 5. MAE, %, is the average absolute error (mean absolute error, MAE), defined as [45]:where Cpredicted and Cexperimental mean, respectively, the concentration calculated by the model and experimentally determined values.

Table 5

Model coefficients of growth rate of Chlorella vulgaris and Nannochloropsis gaditana microalgae

Algae	CO2, %	K c, day−1	MAE, %
Chlorella vulgaris	4	0.41	28
Chlorella vulgaris	8	0.51	12
Nannochloropsis gaditana	4	0.44	29
Nannochloropsis gaditana	8	0.45	20

Table 5 shows determined kinetic coefficients of growth rate of C. vulgaris and N. gaditana species. A comparison of concentration values obtained experimentally and by Eq. (3) for the species C. vulgaris is shown in Fig. 3.

Fig. 3

Comparison of concentration values determined experimentally and by Eq. (3) for Chlorella vulgaris species

Growth rate coefficients determined by Kumar et al. [39] refer to C. sorokiniana species. The values of Kc coefficient obtained by these researchers were 0.4 per day, which are similar to those presented in our study. However, it should be noticed that this Kc was obtained by Kumar et al. where the bioreactor was fed with flue gas. When the flue gas was diluted by air (air-flue proportion of 3:1) the Kc coefficient was 1.3 per day.

Conclusions

The subject of the study was CO2 biofixation in the presence of C. vulgaris and N. gaditana. CO2 biofixation was determined using a simplified and an advanced method that consists in carbon analysis in biomass. It was observed that application of the simplified method can generate large errors, especially if the biomass contains a relatively low amount of carbon. Thus, it is recommended to use the advanced method to determine CO2 fixation.

N. gaditana species is characterized by higher CO2 fixation rate (average more than 0.55 g/l/day) compared to the reference species, i.e., C. vulgaris; however, differences between the values of growth rate coefficient Kc for both species are not so high. N. gaditana species are recommended for CO2 capture process due to high CO2 fixation rate—more than 1.7 g/l/day. On day 10 of cultivation, the cell concentration was more than 1.7 × 107 cells/ml. In the case of C. vulgaris, the maximal biofixation rate and cell concentration did not exceed 1.4 g/l/day and 1.3 × 107 cells/ml, respectively.

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