2.1. Thermodynamic Analysis
To work around the common-origin hypothesis, we will consider the proto-Earth state of the planetesimal disk, the early Hadean eon, before the assumed giant impact. Hence, chemical processes would have begun within the protoplanetary disk and in the evolving Hadean crust at temperatures ranging from 300 K to 500 K, as on cometary surfaces, according to published articles on the climate of Hadean Earth [
18,
19,
20]. Authors describe the proto-Earth crust as a porous structure of cavities and vents, and the protoplanetary disk as a collection of loose terrestrial bodies [
21,
22]. Additionally, the proto-Earth magmatic plates and the protoplanetary disk would spew metals onto the surface in elemental form, ready to be oxidized by reactive gases such as oxygen, hydrogen, and chlorine [
23]. Around the proto-Earth and its protoplanetary disk, the atmosphere at one point contained multiple corrugated gas layers that would have approached the proto-Earth’s surface under the influence of the proto-Earth’s gravity and gaseous kinetic motion, as shown in the schematic of
Figure 1. Using first principles, by combining the Maxwell-Boltzmann molecular speed distribution function with Newtonian gravitational mechanics [
24,
25], we obtain the plots shown in
Figure 2. With a peak maximum of chlorine at a scale of 10, the P
max of Relative Population Distribution Rp(H
2)max ~ 20% around 150 km, and decreases moving closer to proto-Earth's surface. The Rp(Cl
2)
max ~ 100%, Rp(O
2)
max ~ 70%, and Rp(NH
3)
max ~ 25% at distances less than 50 km [
24,
25].
From the plots, the heavier gases, such as oxygen (O
2), chlorine (Cl
2), nitrogen (N
2), and ammonia (NH
3), would have dominated layers ranging from 0 to 50 km, pushing lighter gases, mainly hydrogen (H
2), into the outer sphere at distances ranging from 50 to 600 km. Initially, the concentration of heavier gases near the surface is significantly higher than that of H
2 gas. When layers of oxygen O
2, nitrogen N
2, chlorine Cl
2, and carbon dioxide CO
2 gases started flowing close to the earth’s surface, molten and solidified metals of sodium Na and magnesium Mg were exposed to these gases to undergo multiple spontaneous reactions at a temperature range of 300 K to 500 K. In this analysis, we used the temperature-dependent Gibbs free energy change equation,
Eq. (1) was used to determine whether a chemical reaction is favorable over a wider temperature range (300-500 K) in the early Hadean environment [
18,
19]. A negative ΔG within the temperature range 300 K to 500 K indicates a favorable chemical reaction and that the process is spontaneous. Thermodynamic data, such as the standard free energy of formation ΔG°, enthalpy of formation ΔH°, entropy ΔS°, and heat capacity C
p for the chemicals involved in the chemical reactions discussed in this paper, can be found in chemistry book indices and reference books, such as the CRC Handbook of Chemistry and Physics [
24].
Values of ΔG, ΔH, and ΔS at temperatures higher than the standard temperature T = 298 K were obtained from the thermodynamic equations:
ΔH
m(MX,T
h) is the molar enthalpy change at a higher temperature T
h of the chemical MX, ΔC
p,m is the molar heat capacity change, and S
m(MX,T
h) is the molar entropy at a higher temperature T
h of the chemical MX [
24].
The approaching corrugated gas layers that impact the solid surfaces would enable multiple reactions. Chlorine gas (MW 71 g/mol) is much heavier and tends to form plumes instead of spreading quickly like lighter gases. A likely scenario is that the dominant O
2, N
2, and CO
2 gases diluted the chlorine plumes. Consequently, the direct reaction of chlorine gas with alkali and alkaline earth metals is less likely in an environment rich in oxygen gas. This led to the formation of the dominant metallic oxides, followed by metal chlorides, and then the chlorates. The Gibbs’ free energy ΔG(kJ/mol) favors spontaneous reactions
Table 1.
The above reactions would compete with another set of thermodynamically allowed reactions in which O
2(g) and Cl
2(g) react with sodium, magnesium, and calcium metals in a concerted process to form a family of metal chlorates MClOx,
Table 2.
Moreover, alkali metal oxides would have reacted with O
2(g) and Cl
2(g) gases in thermodynamically favored reactions. The most dominant of these are reactions between the abundant sodium oxides and chlorine gas, as shown in
Table 3. However, the reactions of alkaline earth metal oxides MgO and CaO are not spontaneous (i.e., ΔG > 0). The occurrence of these reactions at an early stage would have substantially depleted both oxygen and chlorine in the primordial atmosphere. The formation of all sodium chlorate forms is essential to the water-forming process [
16,
17].
It can be used in aqueous media to produce ammonium chlorate, chloramine, and recycled ammonia gas. It is noteworthy that multiple Martian rovers have already identified perchlorate salts on Mars [
16,
17,
26,
27]. The eventual decomposition of chloramines enriched Earth’s atmosphere with free nitrogen gas. When the hydrogen outer layer moved closer to the proto-Earth’s surface, the concentration of H
2 gas became high enough to allow forward reactions governed by Le Chatelier’s principle [
24,
28]. In this regard, we need to visualize the primordial proto-Earth’s crust as a sponge that allowed gases to permeate temporary fluidic cavities and porous bodies [
21,
22]. The entrapment of nitrogen and hydrogen would have allowed catalytic spontaneous reactions to form ammonia (NH
3):
The trapped NH
3 gas can be vented by the collapse or rupture of these caves or cavities, as shown schematically in
Figure 2.
Other spontaneous reactions to consider that occurred when hydrogen entered the reaction cycle would have either occurred in primordial crust cavities or in the primordial atmosphere. There are multiple chemical reaction pools that led to the formation of water and key salts. The hydroxide Lye pool, which is a solid, liquid, or gaseous body that supports a multitude of thermodynamically favorable reactions,
Table 4.
The hydrogen layer induced more chemical reactions, directly or indirectly. The formation of hydrogen chloride gas and the hydrogen oxo-chlorides became thermodynamically favorable in the temperature range of 300 to 500 K (
Table 5).
The formation of Chlorous acid HClO
2 is restricted to a temperature range of -20 to 60
oC. The acid HClO
2 is unstable and transforms to HClO and HClO
3. At high temperatures, hypochlorous acid transforms to Chloric acid, HClO
3, while chloric acid decomposes to the more stable perchloric acid, HClO
4. Perchloric acid can be liberated from its salt by reacting with HCl[
28],
Table 6.
Direct route to produce perchloric acid HClO
4 from chlorine Cl
2, hydrogen H
2, and oxygen O
2 gases, by the oxidation of the lower chlorate members with oxygen O
2 gas, or formation of oxo-chlorine gases is not thermodynamically favored in the temperature range 300 to 500 K (i.e., ΔG > 0 at T > 300 K).
Let’s refer to the HClO/HClO
2/HClO
3 forming reactions as the acidic chlorate-producing reactions, or for short, the HClO
x pump. Gaseous clouds and liquid lakes formed due to the HClO
x pump's activity would have led to the formation of the HClO
x pool. A combination of seed primordial water sourced by the accidental collision of some asteroids with Earth’s crust and restricted amounts of hydrogen reacting with oxygen (i.e., 2H
2(g) + O
2(g) → 2H
2O
(g)), took the HClO
x acids, NaOH, and NaCl into the aqueous phase. From a chemist's perspective, this restricted formation of water would have led to salt crystal hydrates, brine pools, and mineral aggregates (i.e., clay lumps) that coalesced under cohesive forces into giant rock structures.
However, ammonia gas reactions with the HClO
x pool would have been a major contributor to the formation of primordial water in vast quantities. Let’s refer to these reactions shown below as the NH
3-HClO
x reactions in the ammonia pool. That is, the vented ammonia gas would flow into the aqueous HClO
x pool, initiating a series of reactions, as shown in
Figure 3. The spontaneity of the NH
3/HClO
x gas reactions is shown in
Table 7, except for HClO
2, which is highly unstable. Assuming equal occurrence of the reactions in
Table 7, water production in the ammonia pool follows the sequence of: 9 moles of NH
3 → 48 moles of H
2O
Figure 3.
Schematic showing the products from the NH3-HClOx reactions in the ammonium salt pool, with the release of chloramine (NHuClw) and water H2O. The unstable NHuClw decomposed to NH3, N2, and Cl2 gases. Gas Cl2 returns to the HClOx pump; any NH3 gas emitted re-enters the NH3-HClOx reactions gas pool. (u=0,1,2; w=1,2,3).
Figure 3.
Schematic showing the products from the NH3-HClOx reactions in the ammonium salt pool, with the release of chloramine (NHuClw) and water H2O. The unstable NHuClw decomposed to NH3, N2, and Cl2 gases. Gas Cl2 returns to the HClOx pump; any NH3 gas emitted re-enters the NH3-HClOx reactions gas pool. (u=0,1,2; w=1,2,3).
We can roughly estimate the total mass of water produced by combining the above reactions. For every 1 ton of ammonia consumed, around 5.6 tons of water were produced. The chemical reactions of ammonia in the HClO
x gas pools would have made water lakes, but no ammonium or sodium salts were deposited. The chloramine products NH
2Cl, NHCl
2, and NCl
3 are unstable and decomposed to NH
3, N
2, H
2, and Cl
2 gases.
Mineralogical studies and historical accounts reveal the widespread occurrence of ammonium chloride deposits worldwide [
29]. The next crucial precursor for completing a cyclic chemical process is ammonium chloride (NH
4Cl). The thermodynamically favorable reactions that led to the formation of NH
4Cl pools are in
Table 8.
The chloride salts of NH
4Cl and NaCl, and caustic soda NaOH, would have dissolved in the primordial water generated by the NH
3-HClO
x reactions pool. These salts formed highly alkaline, concentrated salt pools. In the caustic primordial pools, more reactions in aqueous media contributed to the formation of water and initiated the precipitation of NaCl under conditions of saturation. The NH
4Cl discharged to the highly alkaline pools would have released ammonia NH
3 gas and precipitated the salt NaCl. Moreover, NH
4Cl can react with the chlorate salt family NaClO
x in the NH
4Cl/NaClO
x ammonium pool to yield the same products depicted in the cyclic process of
Figure 3. The following thermodynamically favorable reactions in the ammonium salts pool led to the formation of brine pools, precipitation of sodium chloride, the release of ammonia gas, and the production of primordial water.
Chemical Reaction ΔG, 300 K ΔG,500 K
NH4Cl + NaOH → NH3 + NaCl + H2O -16.4 -1.0
In aqueous solution, the following reactions can happen:
NH4Cl(aq) + NaClO(aq) → NH4ClO(aq) + NaCl(aq) double displacement reaction
NH4Cl(aq) + NaClO4(aq) → NH4ClO4(aq) + NaCl(aq) double displacement reaction
Consider the cyclic process for the strong chlorates,
NH4Cl + NaClO(3,4) → NH4ClO(3,4) + NaCl double displacement reaction
NH4ClO(3,4) + NaOH → NH3 + NaClO(3,4) + H2O (recycle NaClO(1,4) pool)
Net: NH4Cl + NaOH → NH3 + NaCl + H2O
The salts of weak chlorates NaClO(1,2) are basic. These react with aqueous NH4Cl salts to release ammonia and the weak acid:
NH4+(aq) + ClO-(1,2) → NH3(g) + HClO(1,2) (returned to the HClOx pool)
From the ammonium chloride pool, when 1 mole of ammonia is produced, 1 mole of water and 1 mole of salt NaCl are produced. For every one ton of NH4Cl consumption, ~0.34 tons of water and ~1.1 tons of salt are produced.
2.2. The Outcome
In many of the reactions presented, cyclic processes are involved. Ammonia gas must have been released in massive amounts to join all reactions listed under the ammonia gas pool. Ammonium chloride (NH
4Cl) would cycle back to replenish the NH
4Cl pool. Other by-products, such as chlorates, are consumed immediately upon formation to regenerate the NH
4Cl pool. On the other hand, sodium hydroxide NaOH and the HClO
x acids must be continually generated to keep the process going. The three products that do not need to be recycled are nitrogen (N
2) gas, rock salt (NaCl), and water (H
2O). The most obvious destination for the nitrogen N
2 gas is to dominate the entire Earth’s troposphere and stratosphere, leading to Earth’s N
2-rich atmosphere. Under the NH
4Cl pool, we can identify two main reactions that produce NaCl and water. As a rough estimate, the net yield from chemical reactions in the ammonia and ammonium pools is that for every 1 ton of NH
3 consumed, ~3.5 tons of NaCl and ~6.5 tons of water are produced. Water produced by these chemical reactions would have formed brine pools of approximately 36% concentration, with the remaining NaCl depositing as crystals. Any receding water would have formed salt caves and mines [
30]. The big picture is to relate primordial chemical reactions to the constant composition of saltwater that would have led to the global salinity of 3.5% found in today's oceans and seas. The same argument applies to salts of Mg and Ca, which are the next most abundant after NaCl in ocean water. The sulfates could have formed similarly to acid rain, namely through the reaction of sulfur (S) with O
2, producing large amounts of SO
2 and SO
3 gases. These gases would have reacted with primordial water to form the most stable of them: sulfate salts (SO
42-). Moreover, the list of reactions discussed must have terminated at one point, yielding the eventual conversion of most of the available precursor chemicals to more stable products, such that:
(i)Hydrogen H2 gas was converted to water, while the remaining was lost to outer space, terminating the entire process.
(ii)Chlorine gas Cl2, hydrogen chloride, and other chlorine-based gases were converted to chloride salts before hydrogen was used up,
(iii)Ammonia NH3, other nitrogenous gases, and ammonium salts decomposed to nitrogen N2 gas that dominated our atmosphere.
(iv)Chlorates were converted to chlorides, and any remaining were embedded in the soil.
(v)Reactive metal oxides got converted to more stable sedimentary minerals.
Having argued that there is a concerted formation of salt NaCl and water, why did the primordial ocean salinity change from brine pools of ~36% to 3.5%? To justify a 3.5% salinity of ocean water, where the solubility of NaCl is at ~36%, we must separate the frequency of the reactions in the acidic chlorates/ammonia gas pools from the recurring reactions in the ammonium chloride NH
4Cl pool. Statistically, for nine chemical reactions against one, the probability of occurrence of reactions in acidic chlorates/ammonia gas (HClOx/NH
3) pools, which produced primordial water only, must have been multiple times higher than the reactions in the NH
4Cl pool that deposited salts of NaCl with a concerted generation of water. We can justify the previous argument using the formula,
m(H2O/NH3) x Rn + m(H2O/NH4Cl) + m(NaCl)
%sal is the % salinity
m(NaCl) is the mass of NaCl
m(H2O/NH3) is the mass of water in the ammonia pool
m(H2O/NH4Cl) is the mass of water in the NH4Cl pool
The term Rn is a statistical factor representing the number of reactions that would have occurred in the acidic chlorates/ammonia gas pools against one chemical reaction in the NH4Cl ammonium pool. The term Rn must be greater than zero because ammonia gas was produced before any ammonium salts. According to the listed stoichiometric chemical equations, the ratio of chemical reactions depicting ammonia consumption to those depicting ammonium is 9:1. Therefore, for Rn = 9, the salinity of primordial ocean water would have dropped from the brine level of 36% to ~6.2%. At present, there are seas, lakes, and pools with salinities above 6%. Other factors would have contributed to the dilution of the saline oceans. The rising Earth's crust would have trapped salt mines due to heavy evaporation in a hotter environment. Some gas phase reactions, such as the combustion of ammonia, 2NH3(g) + 3/2O2(g) → N2(g) + 3H2O(l), yield 3 moles of water, thus, can increase the value of Rn by three, i.e., Rn = 12, decreasing salinity to 4.7%. The objective of this analysis is to emphasize that water was formed through a specific set of chemical reactions and conditions that resulted in its attaining a specific salinity. Since an ammonia channel governed these chemical reactions, our nitrogen-rich atmosphere resulted.