Van der Waals Gas Isotherms: Plotting with Maple

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SUMMARY

The discussion focuses on plotting isotherms using the Van der Waals gas theory in Maple. The user struggles to achieve the expected graph shape, which should resemble a 1/x curve with a sharp trough, but instead produces a standard 1/x curve. Key points include the importance of using the correct equation for pressure versus volume and ensuring appropriate values for the coefficients 'a' and 'b'. Additionally, it is crucial to select temperatures below the critical temperature for accurate isotherm representation.

PREREQUISITES
  • Understanding of Van der Waals gas law
  • Familiarity with plotting in Maple
  • Knowledge of thermodynamic concepts, particularly isotherms
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the Van der Waals equation for real gases
  • Learn how to implement graphing functions in Maple
  • Explore the significance of critical temperature in gas behavior
  • Study the effects of varying coefficients 'a' and 'b' on isotherm shapes
USEFUL FOR

Students in thermodynamics, physicists, and engineers interested in gas behavior modeling and graphing techniques in Maple.

ja87
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i have to plot isotherms using the van der waals gas theory. i am using Maple to do this but no matter how many different equations i use i cannot get the graphs to look right. it should look like a 1/x curve but with a sharpe trough in it, but all can get is a graph that looks like a normal 1/x curve. does anyone know the equation i should use to give me the curve of pressure against volume for different values of temperature.
 
Physics news on Phys.org
1. Henceforth, post such questions in the Homework & Coursework subforums.
2. Write down the equation you are using to plot the isotherms
3. What values have you assigned to the coefficients, b and a?
4. You may simply be looking at the isotherms above the critical temperature. Have you chosen values of T that are very small?
 

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