Methanogenic degradation of polycyclic aromatic hydrocarbons (PAHs) has long been considered impossible, but evidence in contaminated near surface environments and biodegrading petroleum reservoirs suggests that this is not necessarily the case. To evaluate the thermodynamic constraints on methanogenic PAH degradation we have estimated the Gibbs free energy values for naphthalene, phenanthrene, anthracene, pyrene and chrysene in the aqueous phase, and used these values to evaluate several possible routes whereby PAHs may be converted to methane. Under standard conditions (25 °C, solutes at 1 M concentrations, and gases at 1 atm), methanogenic degradation of these PAHs yields between 209 and 331 kJ mol(-1). Per mole of methane produced this is 27-35 kJ mol(-1), indicating that PAH-based methanogenesis is exergonic. We evaluated the energetics of three potential PAH degradation routes: oxidation to H(2)/CO(2), complete conversion to acetate, or incomplete oxidation to H(2) plus acetate. Depending on the in situ conditions the energetically most favourable pathway for the PAH-degrading organisms is oxidation to H(2)/CO(2) or conversion into acetate. These are not necessarily the pathways that prevail in the environment. This may be because the kinetic theory of optimal length of metabolic pathways suggests that PAH degraders may have evolved towards incomplete oxidation to acetate plus H(2) as the optimal pathway.
Methanogenic degradation of polycyclic aromatic hydrocarbons (PAHs) has long been considered impossible, but evidence in contaminated near surface environments and biodegrading petroleum reservoirs suggests that this is not necessarily the case. To evaluate the thermodynamic constraints on methanogenicPAH degradation we have estimated the Gibbs free energy values for naphthalene, phenanthrene, anthracene, pyrene and chrysene in the aqueous phase, and used these values to evaluate several possible routes whereby PAHs may be converted to methane. Under standard conditions (25 °C, solutes at 1 M concentrations, and gases at 1 atm), methanogenic degradation of these PAHs yields between 209 and 331 kJ mol(-1). Per mole of methane produced this is 27-35 kJ mol(-1), indicating that PAH-based methanogenesis is exergonic. We evaluated the energetics of three potential PAH degradation routes: oxidation to H(2)/CO(2), complete conversion to acetate, or incomplete oxidation to H(2) plus acetate. Depending on the in situ conditions the energetically most favourable pathway for the PAH-degrading organisms is oxidation to H(2)/CO(2) or conversion into acetate. These are not necessarily the pathways that prevail in the environment. This may be because the kinetic theory of optimal length of metabolic pathways suggests that PAH degraders may have evolved towards incomplete oxidation to acetate plus H(2) as the optimal pathway.
Polycyclic aromatic hydrocarbons (PAHs) enter the near surface biosphere through human activities such as crude oil spillage, fossil fuel combustion and gasoline leakage as well as natural inputs like forest fire smoke and natural petroleum seepage. Here PAHs are regarded as pollutants by environmental and health agencies because of their toxic, mutagenic and carcinogenic effects on living organisms (Samanta ). However, in petroleum reservoirs they are part of the natural mixture that makes up crude oil. Recent findings indicate that significant fractions of crude oil can be degraded in the deep subsurface under anaerobic conditions and it appears that this biodegradation is principally coupled to methanogenic terminal oxidation processes (Jones ). Furthermore, it appears that this methanogenic oil degradation has been a major factor in the development of the world's vast heavy oil deposits and represents a significant and ongoing process in conventional deposits today (Jones ). To assess the extent of this process, petroleum geochemists use systematic changes in oil composition to produce indices of degradation. The most widely used of these is the Peters and Moldowan (PM) scale which ranges from 0 to 10 with most mass removal and the greatest compositional changes occurring prior to PM level 5 (Head ). The typical order of compound removal observed during biodegradation follows the sequence n‐alkanes, alkylcyclohexanes, acyclic isoprenoid alkanes, bicyclic alkanes, steranes, hopanes. Interestingly naphthalenes are removed at PM levels 2–5 and phenanthrenes at PM 4–6 and as such these compounds are not classified as being particularly resistant to biodegradative processes. We recently evaluated thermodynamic constraints on methanogenic crude oil degradation (Dolfing ). In that study we focused on linear alkanes in the range C8 to C80. Here we evaluate thermodynamic constraints on methanogenicPAH degradation.In this paper we use naphthalene as an example of a typical PAH and evaluate the thermodynamics of several possible routes of methanogenicPAH degradation, namely:(i) complete oxidation of PAHs to H2 and CO2, linked to methanogenesis from CO2 reduction;(ii) oxidation of PAHs to acetate and H2, linked to acetoclastic methanogenesis and CO2 reduction:or (iia) oxidation of PAHs to acetate and H2, linked to syntrophic acetate oxidation and methanogenesis from CO2 reduction;(iii) oxidation of PAHs to acetate alone, linked to acetoclastic methanogenesis;and (iiia) oxidation of PAHs to acetate alone, linked to syntrophic acetate oxidation and methanogenesis from CO2 reduction.Our analysis shows that methanogenicPAH degradation is exergonic and that PAH degradation would not necessarily be a syntrophic process in the traditional sense: a pathway via acetate only would allow stable PAH degradation with only a minor role for interspecies acetate transfer.
Results
Energetics of methanogenic PAH degradation
Thermodynamic calculations for the methanogenic degradation of five different PAHs (naphthalene, phenanthrene, anthracene, pyrene and chrysene) yielded ΔG values in the range of −208.8 to −331.4 kJ mol−1 (Table 1). Calculated on a per mole CH4 produced basis this range collapsed to −27.1 to −34.8 kJ mol−1. The change in Gibbs free energy values per mole of CH4 produced increased with increasing C/H ratios: the less hydrogen substituents present on the aromatic ring, the more energy available from the methanogenic degradation of these compounds (Fig. 1).
Table 1
Change in Gibbs free energy (ΔG) values for the methanogenic conversion of selected PAHs.a
Compound
Substrates
Products
kJ/reaction
kJ mol−1
kJ mol−1 CH4
Naphthalene
4C10H8 + 32H2O
→
24CH4 + 16CO2
−835.1
−208.8
−34.8
Phenanthrene
4C14H10 + 46H2O
→
33CH4 + 23CO2
−1064.5
−266.1
−32.3
Anthracene
4C14H10 + 46H2O
→
33CH4 + 23CO2
−1166.8
−291.7
−35.4
Pyrene
4C16H10 + 54H2O
→
37CH4 + 27CO2
−1001.2
−250.3
−27.1
Chrysene
4C18H12 + 60H2O
→
42CH4 + 30CO2
−1325.7
−331.4
−31.6
Data for standard conditions (25°C, solutes at 1 M concentrations, and gases at a partial pressure of 1 atm).
Figure 1
Gibbs free energy change for methanogenic degradation of PAHs as function of the C/H ratio.
Change in Gibbs free energy (ΔG) values for the methanogenic conversion of selected PAHs.aData for standard conditions (25°C, solutes at 1 M concentrations, and gases at a partial pressure of 1 atm).Gibbs free energy change for methanogenic degradation of PAHs as function of the C/H ratio.
Complete oxidation of PAHs to H2 and CO2 linked to methanogenic CO2 reduction
Complete oxidation of PAHs to H2 and CO2 is an endergonic reaction under standard conditions, with ΔG′ values ranging between 575.7 and 1041.4 kJ mol−1 PAH (Table 2). Per mole of hydrogen produced the range is 23.8–25.9 kJ mol−1. Methanogenichydrogen removal has a ΔG of 32.7 kJ mol−1 H2. Thus coupling complete oxidation of PAHs to H2 and CO2 to methanogenicCO2 reduction makes the total reaction exergonic, as long as ΔG for oxidation of PAHs to H2/CO2 is less than 32.7 kJ mol−1 H2 produced.
Table 2
Change in Gibbs free energy (ΔG′) values for the complete oxidation of selected PAHs to H2 and CO2 and the hydrogen partial pressure below which the reaction becomes exergonic.a
Compound
Substrates
Products
kJ/reaction
kJ mol−1 H2
H2 thresholdb
H2 thresholdc
Naphthalene
C10H8 + 20H2O
→
10CO2 + 24H2
575.7
24.0
−4.20
−4.35
Phenanthrene
C14H10 + 28H2O
→
14CO2 + 33H2
812.5
24.6
−4.31
−4.47
Anthracene
C14H10 + 28H2O
→
14CO2 + 33H2
787.0
23.8
−4.18
−4.37
Pyrene
C16H10 + 32H2O
→
16CO2 + 37H2
959.1
25.9
−4.54
−4.71
Chrysene
C18H12 + 36H2O
→
18CO2 + 42H2
1041.4
24.8
−4.34
−4.53
Data for standard conditions (25°C, solutes at 1 M concentrations, and gases at a partial pressure of 1 atm, pH = 7).
log H2 (atm).
H2 threshold (log H2 in atm) when the PAH is present at its aqueous solubility.
Change in Gibbs free energy (ΔG′) values for the complete oxidation of selected PAHs to H2 and CO2 and the hydrogen partial pressure below which the reaction becomes exergonic.aData for standard conditions (25°C, solutes at 1 M concentrations, and gases at a partial pressure of 1 atm, pH = 7).log H2 (atm).H2 threshold (log H2 in atm) when the PAH is present at its aqueous solubility.When the H2 concentration is taken into account, the energy yield from complete oxidation of PAHs decreases with increasing H2 concentration, whereas methanogenicCO2 reduction becomes more exergonic with increasing H2 concentration. Figure 2 presents the ‘window of opportunity’ for naphthalene, defined by the H2 concentrations where both processes are exergonic.
Figure 2
Effect of hydrogen partial pressure on the change in Gibbs free energy for oxidation of naphthalene to H2 and CO2 (open symbols) and for stoichiometric methanogenesis of the hydrogen produced (closed symbols). The arrows delineate the ‘window of opportunity’ where both reactions are exergonic. Reactions considered: C10H8 + 20 H2O → 24H2 + 10CO2; 24H2 + 6CO2→ 6CH4 + 12H2O. The dotted line illustrates that the sum of the Gibbs free energy changes is constant and equal to the change in Gibbs free energy for methanogenic naphthalene degradation (−208.8 kJ mol−1; see Table 1).
Effect of hydrogen partial pressure on the change in Gibbs free energy for oxidation of naphthalene to H2 and CO2 (open symbols) and for stoichiometric methanogenesis of the hydrogen produced (closed symbols). The arrows delineate the ‘window of opportunity’ where both reactions are exergonic. Reactions considered: C10H8 + 20 H2O → 24H2 + 10CO2; 24H2 + 6CO2→ 6CH4 + 12H2O. The dotted line illustrates that the sum of the Gibbs free energy changes is constant and equal to the change in Gibbs free energy for methanogenic naphthalene degradation (−208.8 kJ mol−1; see Table 1).The H2 threshold values below which complete oxidation of PAHs becomes exergonic under otherwise standard conditions are between log H2 = −4.18 atm and log H2 = −4.54 atm (i.e. between 2.9 and 6.6 Pa) (Table 2). When calculated for PAHs at their aqueous solubility the picture is essentially the same with H2 threshold values between 2.0 and 4.5 Pa (Table 2).
Oxidation of PAHs to acetate and H2
Under standard conditions, oxidation of PAHs to acetate and H2 is an exergonic process and costs between 101.1 and 199.9 kJ mol−1 depending on the PAH degraded (Table 3). Per mole of acetate produced the costs are between 17.5 and 25.0 kJ mol−1, while the costs per mole of H2 produced are between 25.3 and 40.0 kJ mol−1. The stoichiometry of the reaction 2CH + 2aH2O →aCH3COO‐ + aH+ + bH2 implies that the molar ratio of the amounts of acetate and H2 produced from PAH degradation are identical to the C/H ratio of the parent compound. For the five PAHs evaluated here these ratios range between 1.25 for naphthalene and 1.60 for pyrene. This implies that the actual change in Gibbs free energy for PAH degradation to acetate and H2 under in situ conditions is more strongly dependent on the acetate concentration than on the H2 concentration.
Table 3
Change in Gibbs free energy (ΔG′) values for the incomplete oxidation of selected PAHs to acetate and H2.a
Compound
Substrates
Products
kJ/reaction
kJ mol−1 acetate
kJ mol−1 H2
Naphthalene
C10H8 + 10H2O
→
5CH3COO‐ + 5H+ + 4H2
101.1
20.2
25.3
Phenanthrene
C14H10 + 14H2O
→
7CH3COO‐ + 7H+ + 5H2
148.1
21.2
29.6
Anthracene
C14H10 + 14H2O
→
7CH3COO‐ + 7H+ + 5H2
122.5
17.5
24.5
Pyrene
C16H10 + 16H2O
→
8CH3COO‐ + 8H+ + 5H2
199.8
25.0
40.0
Chrysene
C18H12 + 18H2O
→
9CH3COO‐ + 9H+ + 6H2
187.2
20.8
31.2
Data for standard conditions (25°C, solutes at 1 M concentrations, and H2 at a partial pressure of 1 atm, pH = 7).
Change in Gibbs free energy (ΔG′) values for the incomplete oxidation of selected PAHs to acetate and H2.aData for standard conditions (25°C, solutes at 1 M concentrations, and H2 at a partial pressure of 1 atm, pH = 7).
Oxidation of PAHs to acetate alone
The ΔG values for the oxidation of PAHs to acetate range between 3.9 kJ mol−1 (for anthracene) and 81.1 kJ mol−1 (for pyrene). Expressed per mole of acetate produced the range is 0.5–8.8 kJ mol−1 (Table 4). The acetate thresholds below which the reaction becomes exergonic range between 29 and 827 mM. This implies that in most methanogenic ecosystems oxidation of PAHs to acetate alone will be an exergonic reaction.
Table 4
Change in Gibbs free energy (ΔG′) values for the complete oxidation of selected PAHs to acetate, and the acetate concentration below which the reaction becomes exergonic.a
Compound
Substrates
Products
kJ/reaction
kJ mol−1
kJ mol−1 acetate
Acetate thresholdb
Naphthalene
4C10H8 + 32H2O + 8CO2
→
24CH3COO‐ + 24H+
24.8
6.2
1.0
−0.18
Phenanthrene
4C14H10 + 46H2O + 10CO2
→
33CH3COO‐ + 33H+
117.9
29.5
3.6
−0.63
Anthracene
4C14H10 + 46H2O + 10CO2
→
33CH3COO‐ + 33H+
15.6
3.9
0.5
−0.08
Pyrene
4C16H10 + 54H2O + 10CO2
→
37CH3COO‐ + 37H+
324.5
81.1
8.8
−1.54
Chrysene
4C18H12 + 60H2O + 12CO2
→
42CH3COO‐ + 42H+
179.2
44.8
4.3
−0.75
Data for standard conditions (25°C, solutes at 1 M concentrations, and CO2 at a partial pressure of 1 atm, pH = 7).
log acetate (M).
Change in Gibbs free energy (ΔG′) values for the complete oxidation of selected PAHs to acetate, and the acetate concentration below which the reaction becomes exergonic.aData for standard conditions (25°C, solutes at 1 M concentrations, and CO2 at a partial pressure of 1 atm, pH = 7).log acetate (M).
The thermodynamic landscape of methanogenic PAH degradation
The windows of opportunity with respect to acetate and H2 have been summarized for the range of processes that are presumably involved in methanogenicPAH degradation (Figs 3–5). Figure 3 elaborates the case for methanogenic naphthalene degradation. This analysis allows identification of clear zones where different methanogenic phenanthrene degradation pathways can occur. For example, the window of opportunity linking conversion of naphthalene to acetate with acetoclastic methanogenesis (domain I to IV and VI in Fig. 3) is much larger than the equivalent window for linking incomplete oxidation of naphthalene to both acetoclastic methanogenesis and methanogenicCO2 reduction (domain II, III and IV and VI in Fig. 3), or complete oxidation of naphthalene linked to methanogenicCO2 reduction (domain II, IV and V in Fig. 3). This is summarized in Fig. 4. A comparison of Fig. 3 and Fig. 5 shows that this observation holds for all five PAHs evaluated here.
Figure 3
Hydrogen and acetate as thermodynamic constraints on methanogenic naphthalene degradation.
Figure 5
Hydrogen and acetate as thermodynamic constraints on methanogenic degradation of phenanthrene, anthracene, pyrene and chrysene.
Figure 4
Hydrogen and acetate as thermodynamic constraints on methanogenic phenanthrene degradation. The windows of opportunity for the various pathways are indicated in grey. (i) complete oxidation of PAHs to H2 and CO2, linked to methanogenesis from CO2 reduction; (ii) oxidation of PAHs to acetate and H2, linked to acetoclastic methanogenesis and CO2 reduction; (iia) oxidation of PAHs to acetate and H2, linked to syntrophic acetate oxidation and methanogenesis from CO2 reduction; (iii) oxidation of PAHs to acetate alone, linked to acetoclastic methanogenesis; (iiia) oxidation of PAHs to acetate alone, linked to syntrophic acetate oxidation and methanogenesis from CO2 reduction. For a definition of the domains I to VI see Fig. 3.
Hydrogen and acetate as thermodynamic constraints on methanogenic naphthalene degradation.Hydrogen and acetate as thermodynamic constraints on methanogenic phenanthrene degradation. The windows of opportunity for the various pathways are indicated in grey. (i) complete oxidation of PAHs to H2 and CO2, linked to methanogenesis from CO2 reduction; (ii) oxidation of PAHs to acetate and H2, linked to acetoclastic methanogenesis and CO2 reduction; (iia) oxidation of PAHs to acetate and H2, linked to syntrophic acetate oxidation and methanogenesis from CO2 reduction; (iii) oxidation of PAHs to acetate alone, linked to acetoclastic methanogenesis; (iiia) oxidation of PAHs to acetate alone, linked to syntrophic acetate oxidation and methanogenesis from CO2 reduction. For a definition of the domains I to VI see Fig. 3.Hydrogen and acetate as thermodynamic constraints on methanogenic degradation of phenanthrene, anthracene, pyrene and chrysene.While Fig. 3 gives information on the domains where the various routes of naphthalene degradation are exergonic, it does not give information on the actual energy yield in the various domains. This information is depicted in Fig. 6. The graph shows that depending on the actual H2 and acetate concentrations complete oxidation either to H2/CO2 or to acetate is the energetically most favourable route for the naphthalene degraders. The route via incomplete oxidation to H2 plus acetate is always second best. The one exception to this rule is for the conditions where acetate and H2/CO2 are in thermodynamic equilibrium, i.e. where ΔG′ = 0 for CH3COO‐ + H+ + 2H2O → 4H2 + 2CO2 (the line separating domains III and IV in Figs 3 and 4). In Fig. 6 this is the line where the planes representing the energy yields of the various routes intersect.
Figure 6
Energetics of naphthalene conversion as a function of hydrogen partial pressure and acetate concentration.
Energetics of naphthalene conversion as a function of hydrogen partial pressure and acetate concentration.
Discussion
Microbial degradation of PAHs under methanogenic conditions is potentially of global significance given that the bulk of the world's oil reserves are biodegraded and that this degradation process involves the removal of PAHs (Head ). In addition, PAHs are widespread environmental contaminants and due to their low water solubility and high octanol‐water partition coefficients they tend to accumulate in anaerobic environments such as sediments and soils. It has long been thought that these compounds are inert in the absence of molecular oxygen, especially under methanogenic conditions, but there are scattered reports that this is not necessarily the case (Chang ; Christensen ; Foght, 2008; Fuchedzhieva ). The thermodynamic calculations presented here indicate that thermodynamics is not an impediment to the biodegradation of PAHs under methanogenic conditions: energy yields of about 30 kJ mol−1 CH4 indicate that methanogenicPAH degradation is an exergonic process. However, it should also be taken into consideration that these 30 kJ mol−1 CH4 have to be shared by at least two and probably three organisms. Against this background, i.e. as a strategy to minimize energy sharing, it is tempting to speculate that PAH degradation proceeds via complete oxidation to H2 or via complete conversion to acetate coupled to the conversion of these substrates to methane. The free energy calculations indicate that conversion of PAHs to acetate is already exergonic at rather high acetate concentrations. This would allow methanogenicPAH degradation to proceed as an exergonic process under widely varying acetate concentrations. The caveat here though is that the PAH degraders would have to use CO2 as an external electron acceptor. In this sense, the PAH degraders would simultaneously act as PAH degrader and ‘acetogen’ by virtue of an ability to form acetate from bicarbonate and H2. There are, however, reports in the literature that state that there is probably an optimal pathway length for individual organisms, and combining these two functions (e.g. PAH degrader and acetogen) in one organism may result in suboptimal allocation of resources (Dolfing, 2001; Costa ). A similar line of reasoning applies to the complete oxidation of PAHs to H2 and CO2. Here the presumed PAH degrader would not merely produce the typical fermentation products H2 and acetate, but would have to go through an extra steps to oxidize the acetate that is a typical intermediate in most anaerobic degradation pathways to H2 and CO2. Thus it seems most likely that PAHs are converted to acetate and H2.For the routes where PAHs degradation is a hydrogenogenic process H2 removal is a prerequisite for sustained PAH degradation, which implies syntrophy. When acetate is the sole product, methanogenic activity would not be necessary to sustain PAH degradation. Observations that bromoethanesulfonic acid, a selective inhibitor of methanogenesis, inhibited the degradation of 200 µM naphthalene and phenanthrene in methanogenicPAH degrading enrichment cultures suggest that a hydrogenogenic pathway operated in these enrichment cultures (Chang ).The general sequence of removal of PAHs during crude oil and natural gas biodegradation is naphthalenes, phenanthrenes, chrysenes (Head ). Interestingly the Gibbs free energy yields per mole of methane produced for methanogenic degradation of PAHs follows exactly the same order. This mirrors observations that in natural environments the electron acceptor with the highest redox potential and therefore the highest energy yield is used preferentially, followed by those of decreasing redox potential, and, although the actual yield differences are quite small, makes it tempting to speculate that degradation of PAHs in subsurface oil reservoirs is under thermodynamic control.
Experimental procedures
Background
The amount of free energy available from a reaction depends on the Gibbs free energies of formation of substrates and products as given by the relationship . ΔG is the increment in free energy for the reaction under standard conditions. For biological systems the conventional standard conditions are 25°C and a pressure of 1 atm. In aqueous solutions the standard condition of all solutes is 1 mol kg−1 activity, that of water is the pure liquid (Thauer ). Under environmentally relevant conditions the concentrations of substrates and products are not 1 mol kg−1. This is considered in ΔG′ values. For a hypothetical reaction aA + bB →cC + dD, ΔG′ values are calculated by using the mass equationThe ΔG′ value is obtained from the ΔG value by making the appropriate corrections for pH = 7.
Notation
The format of the ΔG values used in the present paper is similar to that used by Thauer and colleagues (1977) in that the values are given for aqueous solutions of 1 mol kg−1 activity. For the values of the dissolved species at unit molality, the values of the liquid phase are corrected by using the equationwhere is the aqueous solubility of the liquid. The main advantage of this way of presenting free energy of formation data is that extrapolation to in situ conditions can be easily done by simply substituting the actual concentration for the standard concentration in Eq. 1 (Dolfing and Harrison, 1992).
Gibbs free energy of formation values for PAHs in the aqueous phase
Gibbs free energy of formation () values for naphthalene, phenanthrene, anthracene, pyrene and chrysene were taken from Richard and Helgeson (1998) and converted to by using Eq. 2, with aqueous solubility data taken from Sverdrup and colleagues (2002). The values are presented in Table 5.
Table 5
Aqueous solubility and Gibbs free energy of formation values for selected PAHs in the liquid and the aqueous phase.a
Compound
Naphthalene
203.67
3.61
224.26
Phenanthrene
278.07
5.14
307.24
Anthracene
296.52
6.39
332.99
Pyrene
285.57
6.18
320.83
Chrysene
352.51
8.06
398.52
Aqueous solubility at 25°C (mol l−1); data from Sverdrup and colleagues (2002). Gibbs free energy of formation (, kJ mol−1) under standard conditions at 25°C as liquid (Helgeson ) and at an aqueous concentration of 1 M.
Aqueous solubility and Gibbs free energy of formation values for selected PAHs in the liquid and the aqueous phase.aAqueous solubility at 25°C (mol l−1); data from Sverdrup and colleagues (2002). Gibbs free energy of formation (, kJ mol−1) under standard conditions at 25°C as liquid (Helgeson ) and at an aqueous concentration of 1 M.All other Gibbs free energy of formation data used in the present study were taken from Thauer and colleagues (1977).
Sample calculation for threshold values
The change in Gibbs free energy (ΔG′) for the conversion of acetate into methane and carbon dioxide according to CH3COO‐ + H+ → CH4 + CO2 is −35.8 kJ mol−1 CH4 (Thauer ). Hence at pH = 7 . Therefore, under otherwise standard conditions, ΔG′ = −35.8 −5.71 log [CH3COO‐] (where 5.71 logx equals RT298.15lnx). As the threshold value is the value where ΔG′ = 0 it follows that [CH3COO‐] = 10(−35.8/5.71) = 10−6.27. Thus [acetate]crit = 0.54 µM.
General approach
Change in Gibbs free energy calculations for PAH degradation were made based on the following stoichiometry.Based on these equations the H2 concentration below which hydrocarbon oxidation becomes exergonic is:log H2 = X/5.71*(16a + 4b), with H2 in atm, where X = ΔG′ for reaction 12.Similarly the acetate concentration below which reaction 13 becomes exergonic is:log [Acetate] = X/5.71*(4a + b), with [Acetate] in M, where X = ΔG′ for reaction 13.The combinations of hydrogen and acetate concentrations below which reaction 14 becomes exergonic are given by:log [Acetate] = −(b/a)*log H2 + X/5.71*4a, with H2 in atm and [Acetate] in M, where X = ΔG′ for reaction 14.
Authors: D M Jones; I M Head; N D Gray; J J Adams; A K Rowan; C M Aitken; B Bennett; H Huang; A Brown; B F J Bowler; T Oldenburg; M Erdmann; S R Larter Journal: Nature Date: 2007-12-12 Impact factor: 49.962
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