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Sorption - Science topic
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Questions related to Sorption
The weight percentage represents the CO2 sorption capacity and need to convert to flow rate
I am required to write a research proposal on the application of response surface methodology for optimization of sorption dyes from wastewater.
Is it possible to improve the sorption of rare earth metals through complexation with carboxylic acids
With increasing sorbent dose in an adsorption test for heavy metal removal , there were various shade of decolourization in metal solution after adsorption observed. Does this colour change have any effect on sorption capacity .
Hi. I am seeking some guidance in understanding how the dosing works on typical gas sorption equipment (the attached shot is from a Micromeritics 3 Flex).
I describe what I think is the case below and am asking others to correct me or add to my description as necessary. I then ask my question regarding equilibrium at the end - feel free to skip to the end.
In setting up an analysis, the operator defines a set of target pressures to collect data points at. The operator also defines absolute and/or relative tolerances for the target pressure. I.e. so the instrument does not need to reach exactly the defined pressure value.
During the analysis the instrument injects a quantity of gas into the tube that it expects might get it close to the target pressure. The quantity is determined based on measured or estimated free space, manifold volume etc. (when fixed quantity dosing is not selected). The instrument then waits for "equilibrium".
When equilibrium is reached, if the target pressure has been achieved, within the set tolerances, the instrument will record a data point and move on to the next target pressure the operator has defined in the analysis setup. If the target pressure has not been achieved, the instrument will inject another quantity of gas and wait again for equilibrium. The whole process repeats until all adsorption data is collected. Desorption curves are similar, but gas is being removed via the vacuum system.
My question is, what determines "equilibrium"? The attached image shows a setup where the instrument has been asked to check for equilibrium every 10s. The rate of change between checks is around 0.015%. I have seen the instrument inject more gas when the rates of change between intervals are much higher than this so I am confused about what is the guiding criteria for "equilibrium reached" in the programming of the instrument. Indeed there is no consistent value in any of the numbers displayed that seems to relate to what defines equilibrium. This is very frustrating since it is not easy to understand why some analyses can take hours to equilibrate a single dose, and even then, not necessarily reach the target pressure to record a data point.
Each sorbate is only adsorbed onto 1 sorbent at a time, in different sorption experiments. The research question is to determine which sorbate was the most sorbed and the fastest sorbed onto which sorbent. Is a test to measure the normality distribution of data needed? Thank you.
Hi everyone,
I am currently working on batch experiment to quantify metal adsorption onto different materials. Because the variation of pH after addition of the material is significant and that we don't want to adjust the pH after addition (I am afraid it might impact the surfaces of the material), I wanted to know if a buffer solution can be used to limit the impact of the pH variation.
Also, I noticed there are two ways of doing batch sorption experiments: Lot of researchers varied the initial concentration keeping a fix Liquid to solid ratio to calculate the qe but others varied the liquid mass and the solid mass and maintained the Cini. What do you think are the best approach and what are the pros and cons of each?
Thanks in advance for you help!
I have been working on a study of the sorption properties of a radio-isotope on a biotite surface. One of the methods of supporting the hypothesis of whether a reaction would happen or not is looking at the density of states of both the reactants and the product of the reaction. However, I am at a bit of a loss as to what to look for. I have so far thought about evaluating the horizontal translation of peaks, the more there are the more likely they happened, but I do believe there is more to it. Though, literature in this topic is a little sparse.
Sadly, I do not have the time or resources to simulate the PDOS, so for now I can only work with the TDOS. Any tips?
I used NaNO3 solution (100 ppm) to investigate the nitrate sorption using a sorbent. Now, the reviewer asked me what happens for that Na ion in the sorption environment. The reviewer also mentioned the double effect. What is the effect of Na+ in this system?
My current research involves finding the properties of U(VI) sorption on Biotite, and my current team has been using only the final enthalpy to evaluate whether a reaction occurred. I am currently trying to devise a new method to do that, which includes finding the enthalpy of formation of each of the compounds involved in the reaction. These values are then used to calculate the energy that would be consumed/released in the desired product considering a pre-determined equation, and cross checked with the enthalpy of formation of the geometry optimization of said product to see whether the reaction actually happened. I hope this makes sense.
The CASTEP output however has been a little confusing. What I have been doing is using the calculated all-electron energy of each atom involved in the compound and subtracting the with the final energy of the geometric optimization to find the enthalpy of formation of said compound. I have been doing the same thing with the pseudo-potential values, and the results for the same compound are off by a factor of 10^3. I am not sure which value to use, and I’m also not 100% sure if the method makes physical sense.
The equation I've been using to calculate the formation enthalpy is:
ΔH_f = (E_f - Σ(n*E_i))/n_total
Where:
ΔH_f is the formation enthalpy
E_f is the final enthalpy from the geo-opt output
n is the number of atoms of a certain element
n_total is the total number of atoms in the compound
E_i is the individual ground-state energy of each element (either the AE or pseudopotential output)
Thank you so much!
I have an article i could not uphold because of the arrangement of my initials. The document reads Olajide P. O. How can i get such paper uploaded?
I'm interested in applying Non-equilibrium Thermodynamcis for Glassy Polymer (NET-GP) [1] framework to Statistical Associating Fluid Theory (SAFT) variations. Although the NE-SAFT models were reported multiple times in the literature [2], none of them explained how to do this starting from equilibrium SAFT codes/programmes (such as Matlab, python). The papers generally just write "determined by numerical method" in MATLAB, which doesn't offer too much insights.
The biggest issue (that I can identify) is conventional equilibrium SAFT programmes takes temperature (T) and pressure (P) as independent variables, whereas in the NET-GP framework, the independent variables are instead be temperature (T) and another volume(V)-dependent variables (such as polymer volume or polymer density).
Given this information, how should I modify a conventional SAFT code to produce NE-SAFT? Is there a quick work around this (T,V) dependency? Or, would the only way be rewriting all SAFT equations to take (T,V) as indepedent variables?
When to activate my adsorbent that I wanted to convert to a biochar for the best results ?
Is it before/during or after activation ?
and WHY?
We are trying to investigate the sorption desorption of pesticides in soil. We are following OECD 2002 Standards for this. After completion of the sorption study, we are replacing the supernatant with a pesticide-free solution to check its desorption. But the equilibrium concentration shows more pesticides than the amount adsorbed in soil. so we are getting a negative desorption value. is one cycle of desorption study enough or do we need to do more than one to get the desired result? also how to calculate the desorption.
I am getting zero sorption loading for metal oxides that are good adsorbents according to literature. Can any body guide me about exact detailed steps to perform sorption calculations.
I have carried out a sorption study using bentonite clay and I need to obtain SEM images for freeze-dried solid clays after treatments. Clumping of the clay was observed after the freeze-drying (original bentonite was a powder). I did not make it a powder (using a mortar and a pestle) and mounted it on the carbon tape as it was, without crushing it. Here I attached the image I got. Do I need to make a powdered sample/ crushed sample before mounting or the images this way is OKAY?
I'm looking for a "walk-through" to figure out how to use GraphPad Prism (v 8.0.1) for some Langmuir sorption data I'm working with.
I've used OriginPro and Excel with much success, but I really like the publication quality graphs of GraphPad. However, I'm having trouble following their tutorial for some reason. Any guidance would be super helpful!
In my experimental project, comparison between green and chemical synthesized Nps, Green shows higher efficiency..i need to know why it is happening?
I want to calculate adsorption isotherms from an aqueous solution in zeolites using sorption module. Is there any way to do this or can I just calculate isotherms from molecules in gas state with the pressure variation?
Which program would be good to do this?
I want to simulate the H2 adsorption in Materials Studio using the sorption tool. So far I have used the COMPASS ||| forcefield. When I switch to the Universal forcefield the calculated uptakes are much smaller. Does anybody know why there is such a difference?
Hello,
How can I use all cores of my system for Sorption calculation in Material Studio software? Is it possible?
Thank you!
difference between Sorption and Adsorption that occurs in the soil
I have a getter film consist of Zr,Ti,V alloy. I want to calculate the getter capacity, sorption performance, diffusion coefficient of CO and O2 theoretically. How can I calculate these terms?
Soils to act as both sink and source of CO2. Soil organic carbon can be stabilized in soil by a number mechanisms like aggregation (macro- and micro- ), physicochemical stabilization of SOC is due to the sorption of SOC compounds on silt plus clay surfaces or mineral colloids, and recalcitrant plant parts or man-made recalcitrant organic materials like biochar. Aggregation mechanism seems be one of the widely accepted mechanisms from the soil management prospective because conservation tillage is commonly promoted. What is the known proportion of these mechanisms on any level (landscape, regional, national or global). Understanding of this proportion would be a useful indicator for land users or managers intending to conserve soil carbon. Kindly provide relevant literature and expertise on this please.
Different researchers are testing new sorbent materials using different methods such as the fixed bed column or batch method, and they use several models to support their results, like Langmuir, Yoon–Nelson, (BDST), Thomas, Elovich equation, the pseudo-first-order equation, the pseudo-second-order equation, and others. So which one is suitable and more important to support and examine the results when testing a new sorbent material?
Hi,
How the pore size of Mesoporous Silica Nanoparticles can be determined? when you characterize it through the Nitrogen sorption technique by BET and BJH, which gives surface area, pore volume and pore radius.
Please give me detailed description for it.
Thank you so much
Hello, i have a big problem with finishing my graduating work. I have 15 metabolites in raw water. In two steps is water cleaning. First step is sand and second GAC. After one and half year some metabolites are still zero in drinking water, but some metabolites are rising. Can anybody please try to explain me why? I need to make a research why is this hapening, but i dont know how.. Molekular mass, polarity, space filling.. i realy dont know.
Thank you Michal
References for saline/sodic soil and pesticide interactions (sorption/desorption, movement, 1/2 life, etc.)
I had a doped carbon sample which is further converted into powder form through ball milling. In N2 physisorption measurement sorption and desorption isotherm did not overlap, and in y-axis it is also not starting from point Zero. do you have any suggestions for this problem?
Response surface modelling is used to find optimal or improved settings, Analyze and rectify process problems and weak points, Robust the process or product against the external influences
I would like to measure DHA biochar acording CAsida et al., 1964, but I'm afraid that due to the high sorption capacity of biochar, the measurement will not be accurate.
please do you have any comment or advice, publication?
Thank you very much
Helena
I am trying to simulate permeation of gases in polymers. For this reson normally i use the clasic models like dual sorption model but newly i foun dthe non equilibrium lattice fluid model. It seems very promising but it's not easy to understand and use. So i want to know more about advantages of this model in comapre to classic models. Any idea about that? thnaks in advance
Hai all,
I am using 50 ppm Tetracycline hydrochloride for the degradation study ( Fenton process). After each interval sample taken, filtering through 0.22 micrometer syringe filter, then analysed in UV spectrophotometer.
1. When I am analysing 50 ppm TC in Spectrophotometer, absorbance values are significantly varying on repetitions ( for example, at 60 min, absorbance found to be 0.9, then after some time on repeating the same , the value may become 0.5). I am taking my samples after filtration, without adding quenchers. How can I overcome this issue?
2. Can I keep TC stock solution at 4 degrees for a few weeks?
2. I read that washing glasswares with 10% HNO3 can lower the TC sorption on glasswares. Is it advisable to use glass vials for sample storage?
Please help me resolve these problems.
Thank you,
Jaimy Scaria
I was very disappointed to know that the routine tools in Materials Studio does not allow assignment of multipole structure to simple (actually, any) molecules like nitrogen or oxygen in an explicate form. This is necessary in the Sorption module to account for electrostatic interactions, which cannot be ignored. The embedded force fields, like COMPASS do not contain corresponding data, since electrostatic energy is zero during calculations. I know from publications that the problem has been solved. But it is hard for me to figure out how exactly. If somebody has an example of the multipolar nitrogen or oxygen molecules or a tutorial how to construct some, that would be appreciated with gratitude.
I mean if the adsorbent developed follows Langmuir isotherm with second order kinetics which does it imples in practical appliation?
Do I have to solver-add inn for its calculation?
I have carried out sorption experiments using five cationic dyes, as adsorbates onto the same adsorbent, an agrowaste material. Two of them fitted better the Elovich's model, whereas the others fitted the PSO model. For my understanding, the kinectic model details more about the surface of the adsorbent than the nature of the adsorbate. Considering that the five adsorbates used probably interact with the binding sites of the adsorbate throught its positive charged groups, I expected that they would be adsorbed in a similar way, maybe differing only by the maximum adsorption and the equilibrium time, but following the same kinectic model, once the adsorbate is the same. Two of the adsorbates even have very similar structures, differing only by the presence of a -N(CH3)2 group, and one of them followed the PSO model and the other, the Elovich's model. How can I interpretate these results? How could I stablish a relation or a comparision between the adsorption process of these five cationic dyes?
In our clay nutrient, zeolite nutrient and biochar nutrient sorption studies, we receive suspension of turbid, faint and black colour nutrient solution respectively. Although high 15000 rpm centrifuge for more than 30 min, after 2 time filtration, we unable to separate fine clay, zeolite and char from solution. However, it interferes in colorimetric estimation and other analysis. Alum is good coagulant. We used a pinch alum for separation , received clear solution . My doubt is whether alum adsorb nutrient forms (N,P,K and micronutrients). kindly provide your inputs which will help me for finalizing sorption methodology.
Hi all,
I am analyzing some kinetic data, my data come from sorption of Heavy metals onto biochar (carbon material). Since it is recomended not to use the linearized kinetic models due to the introduction of errors in the parameters estimation I went directly for the non-linear first and second order kinetic models as are the most used.
I assesed the best fit by the standard error distribution and the correlation between the predicted and experimental values with both models. Overall my results indicate that second order model suits better my data, the correlation coefficients are very close to one. However I am not sure if that is enough as to say that second order model fitted better, because first order was very high as well the difference in correlation coefficient between both could be as small as of 0.001 in some cases. Additionally the curves obtained pretty much overlap one to each other..so I am doubting that I could say that one model describes better my data to another. How it can be possible that both models look so similar on my data? The initial concentration I used is 0.5 mg/L is maybe due to the low concentration of the sorbate?
Any paper that could help me on this would be very welcome
Regards
Rosa
Can someone recommend the most reliable way to estimate the number of active sites of Ru, Co, and Cu catalysts on Al2O3?
1) Of course there isn't a 100% correct way of doing it, that's why I wrote "most reliable" :)
2) In the case of pure metal nanoparticles (e.g. Au) it is easily done from TEM images + crystalline cell of Au. But what about when we start with a metal oxide? E.g. the starting point is CoO/Al2O3. We reduce the catalyst to get "Co"/Al2O3 with H2. But, of course, only the surface of nanoparticles gets reduced, not the bulk. How can TEM help then? Do we have to assume a monolayer of Co covering our nanoparticles, and just calculate the active sites from TEM + atomic radius of Co?
3) Are there any good sorption techniques to get the active sites on all three catalysts correctly?
Thanks in advance
RSM based on CCD is supposed to be applied for finding the optimum value of some independent variables. There are two dependent variables. Can we use sum of the response signals obtained for these two dependent variables as a function of independent variables and find only one fitted model (equation) for the problem?
There are many examples of this kind in the literature. An example is the work attached, in which the sum of HPLC peak area of two drugs (AT and VAS) has been fitted with the second-order quadratic model, function of pH, sorbent amount, and sorption time, because these two drugs are used together for treatment and control of hypertension.
Can we use such a manner for approaching the problems by experimental design? If not, why?
How to model the isotherm modelling data for a multimetal system? Are Langmuir and Freundlich or other isotherms used to model single metal systems applicable to data obtained in a multimetal system for each metal? It would be nice if someone can share suitable reference/ research paper for the same. Have some papers for binary and ternary system but my system has 7 metals.
Does anyone know what is the "sosteric heat of sorption of rice husk, i am working on designing rice husk dryer and could not find any information and data about it.
Our N2 sorption experiments indicates that the mesopore volume and mesopore surface area is bigger than the total pore volume and total surface area of the sample.
What could be the reason for this?
Is this a question of evaluation of the data or experimental procedure?
Or something else?
Good evening,
I am looking for material related to metal organic frameworks that have been previously used in the sorption of Iodine.ny help would be greatly appreciated.
The value of activation energy, Ea, that obtained from Arrhenius equation, determines the type of sorption process, whether chemisorption or physical adsorption. If the value of Ea greater than 20 KJ/mol, chemisorption is obtained, while if it less than 20, the sorption is physical. I need a reference to show that, the all reference that I found talk about Ea > 40 KJ/mol.
Many thanks.
SEM and IR analysis of biochars can help in determining their sorption capacity for pesticides. But how these analyses can help in determining the degradation of pesticide in these amended soil as compared to unamended soil?
I'm working on effect of biochars from different feedstocks for potential sorption of potential toxic elements and their pH is alkaline. Is there any need to neutralize the biochar to reduce the ash content or I can apply the alkaline biochar?
I have TGA capture profiles at 25 C at constant pressure of 1 bar. Also i have sorption isotherms of CO2 at 0 C from relative pressure range of 0.005-0.95.
I know i can calculate using clausius clapeyron equation.
Kindly let me know how i can find Qst from this data.
Thanks in advance.
Utilization of solar energy is always one of the meaningful research areas. But most researches are about one or two utilization aspects, such as for cooling, heating, heat storage, power generation, water uptaking, and so on. Is there any completed or ongoing research about the integrated utilization of solar energy to combine all these applications into one whole system?
Hello,
I was thinking to use the BJH model to measure the pore size distribution of low porosity (mostly meso and macropores)-containing materials.
In this regard, I have got the following questions:
1) Which relative pressure range should I consider? P/P0 >0.35?
2) Which isotherm branch should I apply the BJH model to? Ads or Des? How does this choice relate to the Hysteresis type?
3) Would DFT model be more suitable?
Thanks,
Antonio
Is it possible that organics/fatty acids can coat a clay particle, to the point that changing the pH of the fluid doesn’t effect the clay surface charge, as the clay is protected from solution effect due to its impermeable layer?
Type I adsorption may be modeled using Langmuir or Freundlich Adsorption isotherm models. But how do I analyse a system that does not follow the Type I adsorption mechanism?
Hi there,
I've done this before but i cant remember how...
Can anyone help me to convert the following into kg/ha?
P sorption capacity 667mg/kg (analytical result)
soil depth 300cm
bulk density 1.4g/cm3
Thanks in advance
Crystalline and amorphous solids have different chemical potentials. May be this is one of the reasons of higher reactivity of amorphous solids.
Dear Researcher community,
I am planning batch experiments to study sorption of pharmaceuticals and trace metals onto soil and I have to inhibit soil microbial activity for at least 48 hours without changing physico-chemical soil properties.
We have tried 8 hours UV exposure and it did not work.
Any suggestion will be greatly appreciated.
Thank you very much.
Best regards,
Raffaella
I'm working on starch, for instance. It has got linear and branched units. In order to estimate the number of OH groups, and the possibilities of making H bonds, I need to know the number of repeating units of the polymer. is there any way to do that?
I am not able to decide between the following methods:
a) Flory-Huggins theory
b) Flory-Rehner theory
c) Differential Scanning Calorimetry
Is there any other more accurate and practical method to calculate the amount of solvent/mixture of solvents absorbed in a composite membrane matrix?
I was investigating the sorption of activated carbon on different concentrations of copper(II)sulfate and came across rather unexpected results where the conductivity increased at 0,00001 , 0,0001 , 0,001 moldm-3. At 0,1 and 0,01 moldm-3 the conductivity decreased however, very little. Is this really because the activated carbon may have been impure or can there be other reasons for such results?
am wondering if there could be any adverse effects from PFAS that may affect the integrity/lifespan etc of the concrete (esp. foundations).
Whilst I do appreciate that that organic content in cements/concretes, <eg - lime> may act as a preferential sorption media over surrounding soils (depending on the chemistry of the soils), I cannot figure any deleterious integrity impacts to the concrete from the PFAS (when considering construction, only issue is in regard to disposal of concrete at end of life (re: presence of PFAS)).
any assistance appreciated. Thankyou.
we are trying to conduct a study on the nutrient removal potential of biochar derived from phytoremediation plants and it would greatly help if we could learn more about the mechanisms
I am using biochar for heavy metal sorption. I did CHNS analysis and got wt% of C,H,N,S. I have calculated O/C, H/C, C/N and obtained different values for different samples at different pyrolysis temperatures. I would like to know what does these ratios indicate, in terms of-
- Sorption capacity of the biochar
- Abundance of surface functional groups
- Biochar yield, etc
Please also mention any other indications that could be obtained from these ratios that would help me find out the heavy metal sorption capacity of the biochar.
Also please mention if there is any range of values, that can be used for comparison.
I study the sorption of ethylene(or butene) on poly ethylene, i use the materials studio 8.0, in build polymer ten repeat unit was selected , in first geometery optimization was done then the amorphous cell was build and was equilibrated . the sorption modules was selected and ethylene was selected as sorbates . the simulation is ran, and sorption isotherm was zero, is there anyone to tell me why it is zero?do my simulation was wrong?
I am planning to conduct P sorption capacity of soil or adsorption isotherm. I found most authors used 0.01M CaCl2 as background solution containing different P concentration as K2HPO4. However, when K2HPO4 solution mixed with 0.01CaCl2, milk color or white precipitate formed and settled. I am concerned if I used this solution for adsorption experiment the portion of P already fixed with Ca and the adsorption capacity of the soil might be wrong. If anyone used this method and has solution, let me know. Thank you!
I am looking for sorption rate equation for PAHs(in differential form ) so I can apply it to my problem.
The inspiration for such a topic of discussion was the paper available on RG, where, to approximate the equilibrium data (batch adsorption in liquid-solid system), in the form of an increasing-decreasing curve and an increasing-decreasing-increasing curve, the second degree power polynomial and the third degree power polynomial were used respectively. Even if we acknowledge that the behaviors observed have a physical meaning (this can be debatable), questions arise - what for? - where is any scientific value here? . But maybe someone has a different opinion. Regards,
Langmuir sorption isotherm is characterised by Maximum Sorption Capacity associated with the mono layer of sorption.
Is there a feasibility that there could actually be more sorption sites than that could be accommodated by the most widely used Langmuir sorption isotherm model - associated with a CBM reservoir?
Will there be any under estimation on the volume of the desorbed methane gas by using the Langmuir model?
Dear everyone,
I am trying to calculate the pore volume using the alpha-s method and have plotted the data from the sorption analysis against a reference with similar surface chemistry. I understand that I can get the micropore properties at low pressures. However, when I see references, I see that the micropore volume from the plot is above 3 times higher in order than those I usually see in references. Is there a formula to be used to calculate the micropore volume from the values in the plot? Please find attached my spreadsheet/a picture of my plot.
Kind regards,
David
Hi All,
BET SSA was measured for a pigment (TiO2) using both octane sorption at 30 C (on an IGC system) and N2 sorption. Octane sorption measurement gave a BET SSA three times higher than that obtained through N2 sorption. Although I am aware that it is not straightforward to compare the two measurements mostly due to the different nature/size of the two adsorptive probes and to the different analysis conditions, is there any particular reason why octane sorption would give a BET SSA overestimation in comparison to N2 sorption. Should I not expect the other way around?
Thanks,
Antonio
Hello,
I am trying to do pre-test on SPE cartridges with ranges of pharmaceutics (8 with varying Kow) to check if I have adsorption of the manufactured cartridges (no material inserted, just the cartridge and the two frits). I am using Empty SPE cartridge with two frits (pre-inserted) from Agilent. However I do not get consistent results regarding to the adsorption of these pharmaceutics. When I spike 3mL of a 3ug/L solution of standards and let the solution sit 15 minutes in the cartridge, I obtain eluent concentrations ranging from 10 to 100% the solution I spiked (high Kow gives low results after elution) but also does not give me consistent results (from the same contaminant, I get concentrations of the eluents for example in a triplicate : 500 , 1000 and 1000 ng/L).
This seems quite extreme but I thought these materials were inert so I am wondering if anyone got the same problem and if you have some advice to give.
Thanks
Cobalt(II) adsorption kinetics onto manganese oxide reached equilibrium within 10-15 min. Is it appropriate to fit these data with a pseudo-first & pseudo-second order kinetics?
One of my adsorbent system (dye + biosorbent) followed Psedo 2n order kinetic model which implies for chemisorption. But my Isotherm study showed that the adsorption process is Physical (Freundlich isotherm and D-R model). what will be the reason for this observation and how can I explain this phenomena?
CBM Reservoir - Critical Desorption Pressure - Gas starts desorbing and diffusing in coal-matrix. Which of the following approaches better describe the in-situ desorption of methane gas within the low-porous low-permeable coal-matrix ??
Non-Equilibrium Sorption OR Sorption Kinetics??
Is it feasible to quantify the fraction of micro-pores, meso-pores and macro-pores/fractures associated with a typical coal-matrix?
And if we have such a complex distribution of mixed pore sizes within the coal-matrix, how far using Non-LInear Equlibrium Langmuir Sorption Isotherm is justified?