Estimating Henrys Law constant C02

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SUMMARY

The discussion focuses on estimating Henry's Law constant for CO2 at temperatures -10°C and 60°C using provided data. The suggested method involves fitting the data to the theoretical equation k(T) = k(T0)exp(-k1/T + k2), with k(T0) approximately 0.142, k1 set to 2400, and k2 derived from k1/T0. Participants recommend using logarithmic transformations and polynomial trendlines for accurate calculations, emphasizing the importance of theoretical fitting over simple graphical methods.

PREREQUISITES
  • Understanding of Henry's Law and its application to gas solubility.
  • Familiarity with logarithmic transformations in data analysis.
  • Knowledge of polynomial regression techniques.
  • Basic proficiency in graphing tools or software for trendline analysis.
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  • Research the application of Henry's Law in environmental science.
  • Learn about polynomial regression and its implementation in software like Python or R.
  • Explore the use of logarithmic transformations in data fitting.
  • Investigate the theoretical background of gas solubility and temperature effects.
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Chemists, environmental scientists, and data analysts involved in gas solubility studies and those seeking to apply mathematical modeling to chemical data.

febbie22
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I was given the table below all i want to do is estimate the Henry's constant at -10 and 60 degrees. Just wondering the best way to go about this.

Would it be to take the log of the graph and add a treadline?

HENRY’S LAW CONSTANT FOR CO2

TEMPERATURE (0C)
HENRY’S LAW CONSTANT (Kh/10,000, atm)​
0
0.073​
10
0.104​
20
0.142​
30
0.186​
40
0.233
​


Cheers.
 
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You should fit your data to theory:

k(T) = k(T0)exp(-k1/T + k2)

where k(T0) ~ 0.142
k1 ~ 2400 for CO2
k2 ~ k1/T0

I would set k1 and k2 to the above values exactly and then fit the data for k(T0) only, but maybe that would probably be cheating.
 
I think i have to do the log of the graph then use quadratics and polynomials to compare and conclude. Does anyone know how i can use polynomial treadlined graphs to calculate the henry's constant which is in the x axis.
 

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