What Is the Joule Thompson Effect and How Is It Calculated for Different Gases?

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The discussion focuses on calculating the Joule-Thomson coefficients for gases (He, CO2, N2) based on experimental measurements of temperature change (dT) and pressure change (dp). The experimentally determined coefficients were μJT(CO2) = 0.815 bar/K, μJT(N2) = 0.1319 bar/K, and μJT(He) = -0.0949 bar/K. The user encountered difficulties when calculating theoretical values using the van der Waals equation, yielding an unexpected result for CO2. It is suggested that the chosen equation may not be suitable for the specific conditions of the experiment, and literature on the Joule-Thomson coefficient for real gases should be consulted. Accurate theoretical values are essential for the lab report, highlighting the importance of using appropriate equations of state.
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Hey all, I'm not sure this is a homework problem, more a problem I'm having with equations and this effect.

Experimentally we measured dT and dp, I plotted them, then determined the Joule Thompson coefficients for 3 gases (He, CO2, N2). These values came out to be

μJT(CO2) = .815 bar/K
μJT(N2) = .1319 bar/K
μJT(He) = -.0949 bar/K

which seemed reasonable enough to me.

Now, I need to calculate theoretical values using various equations of state. I began with van der Waals, and got

μJT = 1/Cp((2a/RT)-b)

I thought this would be simple, just looking up the Cp, and using known van der Waals coefficients, but my calculation for CO2 comes out to be something like -4 or so, so something is wrong, but I can't figure out what it is. Also, I could not find anywhere theoretical μJT values, which I am supposed to put in my lab report.

Thanks for any tips!
 
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It is possible that the equation you are using to calculate the Joule-Thomson coefficient is not applicable for the particular conditions of your experiment. The ideal gas law equation is used to calculate the Joule-Thomson coefficient for an ideal gas, but in real gases the coefficients can be different. You should look for literature on the Joule-Thomson coefficient specific to the type of gas you are working with and its conditions.
 
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