Estimating Henrys Law constant C02

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To estimate the Henry's Law constant for CO2 at -10 and 60 degrees Celsius, it is suggested to use the equation k(T) = k(T0)exp(-k1/T + k2) with known values for k1 and k2. The user is considering taking the logarithm of the graph and adding a trendline to analyze the data. There is a discussion about fitting the data to theoretical values while potentially adjusting k(T0) to avoid bias. Additionally, the user seeks guidance on using polynomial trendlined graphs to calculate the Henry's constant. Overall, the conversation focuses on the best methods for estimating the constant based on provided temperature data.
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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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