Thank you so much for sharing this ! You have no idea how helpful it was for my thesis! Really appreciate when people share their knowledge
@AsifResearchLab3 жыл бұрын
You are welcome... And its pleasure for me that it is helpful for u.
@priteeyadav9470 Жыл бұрын
Sir please make a video on how to calculate ce
@sofialindinha4293 жыл бұрын
You cannot imagine how much I was looking for this application, I am not a chemist, but an engineer and I had a lot, but a lot of difficulty. Thank you. I'm in Brazil
@AsifResearchLab3 жыл бұрын
Welcome
@aamirayub94404 жыл бұрын
The isotherm model has been explained in details and very east steps. Well done
@AsifResearchLab4 жыл бұрын
Thanks
@KhilawanPatelOnlineClasses4 жыл бұрын
Hello sir give your contact number
@KhilawanPatelOnlineClasses4 жыл бұрын
Very nice
@AsifResearchLab4 жыл бұрын
@@KhilawanPatelOnlineClasses thanks
@AsifResearchLab4 жыл бұрын
@@KhilawanPatelOnlineClasses you can contact me at ..asifayub871@gmail.com
@akira8762 Жыл бұрын
this video is really helpful. Thanks Asif Research Lab!
@AsifResearchLab Жыл бұрын
Most welcome!
@lolllololol22312 жыл бұрын
Bro thank you so much I did this for 2 day and can't finding my own way to solve this..you just boost my mood🤣😍...thank you for this tips
@AsifResearchLab2 жыл бұрын
Welcome
@JHKanus8 ай бұрын
The best video I've watched so far. Thank you
@AsifResearchLab8 ай бұрын
Thanks
@fridtjofsobanski3593 жыл бұрын
This helped me so much for my master thesis - thanks alot and greetings from Vienna!
@AsifResearchLab3 жыл бұрын
Welcome dear.
@fridtjofsobanski3593 жыл бұрын
@@AsifResearchLab One question: If working with excell instead of origin you can just use the trendline function for intercept, slope and r square, right?
@AsifResearchLab3 жыл бұрын
@@fridtjofsobanski359 not sure but excel can also be used to find out these values
@SuperSimran143 жыл бұрын
@@AsifResearchLab Bro Will you please share your mail ID
@AsifResearchLab3 жыл бұрын
@@SuperSimran14 asifayub871@gmail.com
@faustineuwayezu34943 жыл бұрын
Thank you for sharing your knowledge, you are helping me a lot 🙏
@AsifResearchLab3 жыл бұрын
Welcome
@khinmyatthu92892 жыл бұрын
Thank you very much for uploading these isotherms plotting videos. They were very clearly explained. With very much appreciated.
@AsifResearchLab2 жыл бұрын
Welcome
@caiovictor22673 жыл бұрын
Thank you so much, I was really struggling with this subject, thank to your video I was able to understand! Congratzz!
@AsifResearchLab3 жыл бұрын
U r Welcome dear.
@SaifUllah5-r3e3 жыл бұрын
thanks for making isotherm model easy for us to apply for our experimental data
@louisemcdougall5543 жыл бұрын
I am writing a paper as part of my masters project and part of the data collection involved isotherms. I could not grasp how journal articles that had done similar work had calculated KL values etc for their papers. So I just wanted to write and thank you for this video!
@AsifResearchLab3 жыл бұрын
welcome
@weigneranderson67944 жыл бұрын
Very helpful thx for sharing this video
@AsifResearchLab4 жыл бұрын
Thanks
@Nafiugidangona3 жыл бұрын
I have gained a good knowledge from your video
@AsifResearchLab3 жыл бұрын
Pleasure for me.
@refalka49702 жыл бұрын
to determine the RL value, why you chose the Ci value just 50? There are 6 experiments, so it would be 6 Ci, please can you explain?
@masoodiqbal40632 жыл бұрын
yes plzz tell i am slso confused
@kewirfannyuyv.3356 Жыл бұрын
Hello, did you ever get the answer to this question?
@shadmanalam43182 жыл бұрын
Nicely explained!! Thank you very much!!
@AsifResearchLab2 жыл бұрын
You are welcome!
@rupkamalchetia40674 жыл бұрын
Thank you so much, sir. It will help us a lot.
@av111052 жыл бұрын
Thank you so much sir for such a fruitful information
@AsifResearchLab2 жыл бұрын
Welcome
@voiceofnature20653 жыл бұрын
Thank you so much asif I have a question how we can calculate ci for RL? In video ci for RL is 50, can you give naumerical example ?
@anurana63494 жыл бұрын
You saved my life😁👍👍👍
@AsifResearchLab4 жыл бұрын
Its honor for me.
@khalidtiger74 жыл бұрын
thank you for the great efforts, really appreciate your work
@AsifResearchLab4 жыл бұрын
Thanks
@anurana63493 жыл бұрын
Hello! M just confused about Ci value that was put into RL formula, how did you select 50 for that?
@AsifResearchLab3 жыл бұрын
This conc (50ppm) was optimized. This depends upon some factors like 1- The behavior of your absorbent toward low and high conc. 2- conc of that metal in environmental samples
@anurana63493 жыл бұрын
@@AsifResearchLab does it mean that it's a concentration of any adsorbate at equilibrium , qe?
@AsifResearchLab3 жыл бұрын
@@anurana6349 this is not the qe it is Ci. you can take Ci according to your adsorbate and adsorbent
@anurana63493 жыл бұрын
@@AsifResearchLab okk thank you Asif ☺️
@IIScpostdocgirl4 жыл бұрын
Thank you so much... Finally I understood!!
@AsifResearchLab4 жыл бұрын
welcome
@simplifiedscienceeducation52343 жыл бұрын
Sir Kindly le me know. I got negative log qe value. This has no incorporation further in any formula. Should i ignore it?
@sportsfan76153 жыл бұрын
Thanks very much dear sir. You beauty it's helpful for my work. But I have few questions if you please answer to me
@mleonzuzu50452 жыл бұрын
Hello, im using response surface methodology for the batch adsorption process and have about 17 runs. How am i going to select the number of experiments for the calculation of the langmuir isotherm?
@AsifResearchLab2 жыл бұрын
Optimize ur parameters
@belalal-hakeem44923 жыл бұрын
thank so much bro for this helpful video
@AsifResearchLab3 жыл бұрын
welcome
@anupamagarwalshsunassociat97593 жыл бұрын
wonderful explanation
@AsifResearchLab3 жыл бұрын
Thanks Respected Sir.
@mohamedel-khateeb5963 жыл бұрын
Thank you very much. Valuable video.
@AsifResearchLab3 жыл бұрын
Always welcome
@Archiie254 жыл бұрын
Thanks a lot sir... u really helped me
@AsifResearchLab4 жыл бұрын
Thanks
@PrashantKumar-mp3ud2 жыл бұрын
Thanks a lot sir was searching for this for a long time .
@risingnews68594 жыл бұрын
Well done 👍 sir
@AsifResearchLab4 жыл бұрын
Thanks
@nachiappansirchabasan5 ай бұрын
Hi My project is related to adsorption process.... So I used adsorption isotherm. Can I get the excel sheet... Please
@norhalalizaalias75913 жыл бұрын
Thank you so much for your help 🙏👍
@AsifResearchLab3 жыл бұрын
Welcome
@hafeezurrahim31264 жыл бұрын
Really appreciated dear
@AsifResearchLab4 жыл бұрын
Thanks
@awadahmed37123 жыл бұрын
I have a question in your adsorption experiment, you change the concentration of adsorbate from 10 to 500 mg/l and used a constant amount of adsorbent 0.15 g then you calculated qe for all concentrations is that right please explain ??
@AsifResearchLab3 жыл бұрын
Yes
@awadahmed37123 жыл бұрын
@@AsifResearchLab please explain
@tommy8463 жыл бұрын
Hello there. This helps me a lot :) I appreciate your video. I have questions about RL First of all, what does RL mean? (If RL is large, what kind of phenomenon occurs?) In case of Langmuir isotherm model, there are lots of equations.(I saw 5 equations) In different equations can I use the equation of (RL = 1 / (1 + Ci * KL))?? or do I have to change equation? If so, how can I change the RL equation? (ex. (Ce / qe) = (1 / qm)*Ce + (1/(qm * KL)) )
@abcxyz8123 жыл бұрын
Your videos are very helpful. Can you please add fitting pseudo particle diffusion model
@AsifResearchLab3 жыл бұрын
Thanks. Yeah sure very soon in sha Allah.
@abcxyz8123 жыл бұрын
@@AsifResearchLab Thank you. It would be so useful in my thesis. Also if you can also tell us to calculate Boyd coefficient and mass transfer model. I was looking for it for quote long
@mr_smollick Жыл бұрын
I have a question that, why we take Ci = 50 g/L for the calculation of RL?
@salaheddine7483 Жыл бұрын
I have the same question , he didn't explain why, though it's important
@ukolydia4148 Жыл бұрын
All initial concentrations should give you a value of 0< RL < 1, RL less than 1 or greater than 0, to confirm that the adsorption process is favorable. Just chose one value as you like
@ukolydia4148 Жыл бұрын
@@salaheddine7483 All initial concentrations should give you a value of 0< RL < 1, RL less than 1 or greater than 0, to confirm that the adsorption process is favorable. Just chose one value as you like
@ranaarshad5817Ай бұрын
I am confused why you select Ci 50 as you use different ci value in 6 experiment serial
@MohamedSaid-dj8hw4 жыл бұрын
good job Asif
@AsifResearchLab4 жыл бұрын
Thanks dear
@psd3092 жыл бұрын
Thanks a lot sir.its a really an informative video.i have one question that how can we find final concentration i .e. Cf from initial concentration Co while determining RL values.
@adissugetahun4326 Жыл бұрын
my question too...sir please say something about it.
@ummuabdullah42863 жыл бұрын
Sir, I wanted to know when we should use Lamgmuir and Freundlich or both on an adsorption study. I'm working on lead and chromium adsorption from their aqueous solutions. Can I use both the isotherms or Langmuir only?
@AsifResearchLab3 жыл бұрын
Only one model will explain experimental data and adsorption process...apply Langmuir if it fitts best then ok..if not then apply Freundlich..if it also don't fit then apply temkin ...this is the way u proceed.
@ummuabdullah42863 жыл бұрын
@@AsifResearchLab Sir, I applied both the isotherm model and both of them fitted well. So can I represent both the isotherms in the research paper? Or, it's wise to show only one isotherm?
@AsifResearchLab3 жыл бұрын
One.
@sandhyachakravarthy92293 жыл бұрын
How to theoretically calculate adsorption when I can't perform any experiment?
@serkaddismedia3 жыл бұрын
thanks for this video but why do you use the linear fit instead of nonlinear one
@AsifResearchLab3 жыл бұрын
Thanks. This data followed linear.
@wilsonibeaho47883 жыл бұрын
Do you have a video for "How to determine the final concentration Ce (mg/L)" Thank you. Regards
@AsifResearchLab3 жыл бұрын
Will be uploaded in couple of days.
@wilsonibeaho47883 жыл бұрын
@@AsifResearchLab Please.. I have got one question. When you calculated RL.. Why did you choose 50 like Ci ?
@wilsonibeaho47883 жыл бұрын
Because you have at least 6 Ci.. but you choose 50.
@ernestoleonalcantar50262 жыл бұрын
@@wilsonibeaho4788 Esto vine a buscar aquí. lamentablemente no hay respuesta :L
@jiameiiii4 жыл бұрын
Can we use Langmuir Isotherm and Freundlich isotherm for adsorption with different dosage but with constant initial concentration, pH, contact time and temperature?
@AsifResearchLab4 жыл бұрын
Yes, but normally we use optimum dosage of absorbent.
@jiameiiii4 жыл бұрын
@@AsifResearchLab I see, thank you very much
@AsifResearchLab4 жыл бұрын
subscribe the channel also. Thanks
@suganyathuraisingam93052 жыл бұрын
Thanks a lot. It's clearly explained.
@nguyenhang-hz6gv2 жыл бұрын
Thanks for your videos. I have a question about Ci when you calculating RL, why did you choose Ci =50? I read all the comments and saw some similar question. Would you please explain further? Thanks.
@AsifResearchLab2 жыл бұрын
This is optimized initial conc. Adsorbent showed maximum removal efficiency at 50.
@parimojesh10512 жыл бұрын
They started study using initial concentration 50 ppm
@mamoonsirisharashid2 жыл бұрын
@@AsifResearchLab no it could not be.. at 10 ppm it is max
@AsifResearchLab2 жыл бұрын
So, in ur case 10 ppm is ur optimum value.
@ernestcroiz57272 жыл бұрын
@@AsifResearchLab is there a formula to find the optimum value?
@rupkamalchetia40674 жыл бұрын
Please make another video showing Freundlich adsorption, variation with pH, kinetics.
@AsifResearchLab4 жыл бұрын
Please visit this channel you will find the above mentioned vedios.thanks
@beautifultiana65783 жыл бұрын
Thanks for this video
@AsifResearchLab3 жыл бұрын
Welcome
@chihhaoliao90633 жыл бұрын
Thank you very much. Can you share the EXCEL file in the video? There are many formulas used in adsorption experiments and material analysis.
@mairakaleem14844 жыл бұрын
Great video! Just confused about one thing how do we know the relation between Qmax and K contants with slope and intercept? As you brought the formulas did u derive them? And plz also upload dubinin and flowry huggins.. thanks in advance
@AsifResearchLab4 жыл бұрын
Maria thanks for your valuable comment. Yes you can derive the slop and intercept formula from the main equation. Yes working on other models also and will be uploaded soon. Thanks
@Phet14086 ай бұрын
May i ask u. where Ci from? in RL = 1/1+Ci*KL
@kaustavbhattacharyya22172 жыл бұрын
Respected Sir, the videos are really helpful, will you please make a video concerning the calculation and plotting of desorption efficiency and kinetics
@AsifResearchLab Жыл бұрын
Yes, soon
@ctiggemann3 жыл бұрын
Where can we see the data you are working from? I do not see where you got your volume measurements. Thank you
@AsifResearchLab3 жыл бұрын
This is experimental data.
@sabaal-qaysi41713 жыл бұрын
Hi, thanks your job please can set up video about zeta potential calculations , and design expert software like RSM table and response surface methodology ... regards
@AsifResearchLab3 жыл бұрын
Welcome. I will try
@ramzanakhtar40092 жыл бұрын
I've resin in beaded form. Do we need to grind the beads in order to do solid sample FTIR?
@AsifResearchLab2 жыл бұрын
No
@AsifResearchLab2 жыл бұрын
No need of grinding
@muhammadjameel3003 жыл бұрын
How to prepare viva for physical chemistry?? Which topics are important or relevant??
@AsifResearchLab3 жыл бұрын
Level?
@muhammadjameel3003 жыл бұрын
@@AsifResearchLab ms. C
@sorodhonipotshangbam17162 жыл бұрын
Hello sir, i have a question. while doing adsorption experiment can we do without using shaker
@AsifResearchLab2 жыл бұрын
Yes. U can use Coulmn
@sorodhonipotshangbam17162 жыл бұрын
sir can u explain briefly
@AsifResearchLab2 жыл бұрын
read one article on column adsorption of metal ions. Hopefully you will get the basic idea of column adsorption
@jingwang52053 жыл бұрын
Thanks for your nice work. Do you know how to calculate Ce by absorption band in UV spectrum? And can you share a copy of your excel file with me? Thanks again.
@simplifiedscienceeducation52344 жыл бұрын
Very helpful video. Can we do this in simple excel sheet. Please answer
@AsifResearchLab4 жыл бұрын
If u can find the valu of intercept and slop.
@simplifiedscienceeducation52344 жыл бұрын
Thanks. Kindly let me know on which soft ware you have first write the values before using origin 2019 b. Is it Excel sheet or somethinf else?
@AsifResearchLab4 жыл бұрын
@@simplifiedscienceeducation5234 that was an Excel sheet.
@IIScpostdocgirl4 жыл бұрын
very Helpful
@AsifResearchLab4 жыл бұрын
Thanks
@sabaal-qaysi41713 жыл бұрын
salaam sir ,many thanks two months ago ,I asked you about set up video for analysis zeta carve and how calculating particle size via zeta data ? are you like do it? you promise have try .
@muhammadfaiz29132 жыл бұрын
Thanks sir, was really helpful
@AsifResearchLab2 жыл бұрын
Welcome
@jokejoker47523 жыл бұрын
I have data adsorbent, lead, shaking speed and time Can I use adaorbent ( ci) , lead ( ce) ?
@AsifResearchLab3 жыл бұрын
Ci would be the initial conc of lead and Ce will be the lead conc after equilibrium.
@gerheart332 жыл бұрын
Do you mean the Ci is the optimum initial concentration and Ce is the optimum concentration at equilibrium under the effect of initial concentration
@quratulainnadeem62874 жыл бұрын
I got negative intercept in regression. what does it mean kindly guide. do we include minus sign of intercept while calculating qmax value?
@AsifResearchLab4 жыл бұрын
apply another model
@kkkn39304 жыл бұрын
Thank you Sir for this video. I need to ask one thing my intercept in coming negative. is it ok ? because my Qmax is also negative then. or i have to ignore the negative sign
@kkkn39304 жыл бұрын
my graph is linear
@AsifResearchLab4 жыл бұрын
-ve value of intercept has no physical meaning. Repeat ur experiments or use another adsorption model for ur data.
@kkkn39304 жыл бұрын
@@AsifResearchLab where do you think the problem will be
@sportsfan76153 жыл бұрын
Sir Jo ap ny Q max fine Kia he us me initial Conc. Ap ny 50 hi ku choose ki ?? Halan K different experiments ki initial Conc. Different thi
@AsifResearchLab3 жыл бұрын
different factor hn
@kabirkhan47893 жыл бұрын
well done
@ALYZAJOYPABILLORE9 ай бұрын
Hi Sir, where did you get the W?
@AsifResearchLab7 ай бұрын
Mass of adsorbent
@sorodhonipotshangbam94243 жыл бұрын
Hello sir , i want to know how to do metal adsorption process . We dont have AAS .
@AsifResearchLab3 жыл бұрын
H can find conc of unknown sample by UV.
@AsifResearchLab3 жыл бұрын
Metal adsorption by batch process or column
@sorodhonipotshangbam94243 жыл бұрын
@@AsifResearchLab Batch process means?
@AsifResearchLab3 жыл бұрын
Shaking of ur adsorbent in contaminated water sample by any mean. See my vedio of PZC where batch process was illustrated.
@teymurg.r88603 жыл бұрын
Could you explain how to find the equilibrium concentration?
@AsifResearchLab3 жыл бұрын
when adsorbent stop adsorbing further metal ion form water and there is no change in concentration of metal ion in solution with the passage of time. that would be your equilibrium conc
@skhan1353 жыл бұрын
Hello sir, this is shahzadi sadiya. In your langmuir isotherm video you stated that the Qmax value is reciprocal of intercept where in the paper analytical method doi 10.1039/c3ay41000e they report Qmax value is reciprocal of slope. may i know about this.
@AsifResearchLab3 жыл бұрын
Review some more articles
@ds56932 жыл бұрын
Hlo sir, your video is so helpful......will you please make video on redlich Peterson model And also 3,4 variable model??????
@AsifResearchLab2 жыл бұрын
Thanks, sure
@ahmadrezaee80953 жыл бұрын
Thank you so much.
@AsifResearchLab3 жыл бұрын
You are welcome
@shikhasharma6258 Жыл бұрын
which initial concentration to take in langmuir isotherm to find the RL
@kalsoomliaquat92477 ай бұрын
same question did you find the answer ?
@anjalisharma3143 жыл бұрын
Sir , please tell me about the formula to find the final concentration of the compound by absorbance
@AsifResearchLab3 жыл бұрын
Tonight vedio will be uploaded
@anjalisharma3143 жыл бұрын
@@AsifResearchLab thanks a lot..I have seen your all isotherm model. Very useful it is. I have seen you have show final concentration of Compound but I wanted to know how you wrote final concentration.Thanks for it 🙏🙏
@anjalisharma3143 жыл бұрын
Sir, I have to see the absorbance of uv visible for dichloromethane as a compound in a solvent methanol in an adsorption experiment. First I run pure dichloromethane to full range of uv visible 190 nm-1100nm to see at which wavelength its peak is seen ,its highest and clear peak seen in 208nm. But in literature there is range of DCM is 233nm, and highest 274 nm. Now I am confused what range I have to fix for my samples. Please guide me.
@anjalisharma3143 жыл бұрын
@@AsifResearchLab please upload video, in your Languir isotherm, you have started with initial concentration and final concentration. How you calculate final concentration values.? Please tell
@AsifResearchLab3 жыл бұрын
@@anjalisharma314 Final conc was determined my using atomic absorption spectrophotometer AAS.
@Aminulchem2 жыл бұрын
Good.
@AsifResearchLab2 жыл бұрын
Thanks
@BulanJuni-s4j Жыл бұрын
Sir? is it okay for the source file that you use I need to know what are the descriptions of the formula used
@varshinikashaboina98893 ай бұрын
Sir while calculating RL how did u take ci value 50 sir
@pamilaramesh78062 жыл бұрын
Sir, Thanks for the video. I have a small doubt. In a few articles, they are mentioning % error along with R2 values, how is it calculated? here in this video, there are standard errors associated with both intercept and slope values, so which one do we need to consider?
@sanaafsar52283 жыл бұрын
Sir ,my Langmuir isotherm intercpt value comes negative ,sir what's the reason behind it?Is my experimental data not valid?
@AsifResearchLab3 жыл бұрын
There is something wrong with ur data. Rechek it carefully
@sanaafsar52283 жыл бұрын
@@AsifResearchLab sir me to check kr ky thk gy hu mai ne hr trha se chek kiya hai sr ap help kr de plz
@AsifResearchLab3 жыл бұрын
Mail ur data.
@sanaafsar52283 жыл бұрын
@@AsifResearchLab sir apka email ??
@AsifResearchLab3 жыл бұрын
asifayub871@gmail.com
@elmasuryani85683 жыл бұрын
Please make video langmuir (Qe Vs Qe/Ce)
@mahadevaprasadkn247 Жыл бұрын
Can you please explain extended Langmuir isotherm
@vespera106 Жыл бұрын
Hello sir My intercept is negative and I don't understand why ... Pls help... Much thanks to you
@marwa-fn3jv3 жыл бұрын
Thanks you so mutch
@AsifResearchLab3 жыл бұрын
Welcome
@andinetmarkos3712 жыл бұрын
Sir! X please use your sound to explain the process and steps! Because I am new for these software applications.
@AsifResearchLab2 жыл бұрын
Yeah sure
@utaiyachandran54013 жыл бұрын
How to substitute the values in Langmuir formula
@AsifResearchLab3 жыл бұрын
little elaborate your question
@anitroserony67203 жыл бұрын
how do you take the value of W ? how do u take it as 0.15g?
@AsifResearchLab3 жыл бұрын
W is the optimized amount of adsorbent. I took 0.15 g during my batch experiments. It depends upon you how much adsorbent you take.
@hebanaser18643 жыл бұрын
Thank you ...
@AsifResearchLab3 жыл бұрын
Welcome
@krishashah82603 жыл бұрын
Why u have taken 50 as Ci in RL calculation?
@AsifResearchLab3 жыл бұрын
See in other comments.
@iyanyuliana27203 жыл бұрын
What meaning if we get KL < 1 or KL >1 ?
@engineer_onvacation4 жыл бұрын
Thanks bro :)
@AsifResearchLab4 жыл бұрын
Welcome
@kkkn39304 жыл бұрын
While calculating RL why you've used Ci as 50 ?
@AsifResearchLab4 жыл бұрын
Several factors.
@singhuing83514 жыл бұрын
Could you explain it why choose 50 as the initial concentration to calculate RL value?
@kongmanhong39444 жыл бұрын
I would like to know that too... Can you please explain why to choose 50 as Ci value to calculate RL?
@AsifResearchLab4 жыл бұрын
Optimized conc
@almoaqli13 жыл бұрын
Dear, when you calculate RL (Ci = 50) how
@AsifResearchLab3 жыл бұрын
see in comments
@stephano.7022 Жыл бұрын
Hello, What's the difference between this method and the method used in this video (kzbin.info/www/bejne/aXu0Y4J6mcqnf6M&ab_channel=AminulchemInnovation)? Here was plotted a 1/Ce versus 1/Qe, and on the video link was plotted Ce/qe versus Ce. **There is a error at video cited, Kl = 1/(qm x intercept). The video is just qm x intercept
@PoonamKumari-yj8bk Жыл бұрын
How to calculate ce value if a gas adsorbed onto charcoal?
@mubashirrashid3518Ай бұрын
Good keep it up but video quality is poor not fully understable
@alial-darraji6323 жыл бұрын
How can draw three temperature at same graphic
@AsifResearchLab3 жыл бұрын
watch video of thermodynamic paprameeters
@alial-darraji6323 жыл бұрын
@@AsifResearchLab if u draw isotherms at different temperatures