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

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SUMMARY

The discussion centers on the Joule-Thomson effect and its calculation for gases, specifically helium (He), carbon dioxide (CO2), and nitrogen (N2). The experimentally determined Joule-Thomson coefficients are μJT(CO2) = 0.815 bar/K, μJT(N2) = 0.1319 bar/K, and μJT(He) = -0.0949 bar/K. The participant encountered discrepancies while calculating theoretical values using the van der Waals equation, particularly for CO2, indicating potential issues with the applicability of the equation under specific experimental conditions.

PREREQUISITES
  • Understanding of the Joule-Thomson effect and its significance in thermodynamics.
  • Familiarity with van der Waals equation and its coefficients.
  • Knowledge of specific heat capacity (Cp) for various gases.
  • Experience with plotting experimental data and interpreting thermodynamic properties.
NEXT STEPS
  • Research literature on theoretical Joule-Thomson coefficients for real gases under varying conditions.
  • Study the application of the ideal gas law versus real gas behavior in thermodynamic calculations.
  • Explore other equations of state beyond van der Waals for calculating Joule-Thomson coefficients.
  • Investigate the impact of temperature and pressure on the Joule-Thomson effect for different gases.
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Students and researchers in thermodynamics, chemical engineering, and physical chemistry, particularly those involved in experimental gas studies and thermodynamic calculations.

Snoop06
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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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