Recent content by Calstiel

  1. Calstiel

    I On Mixing Colors of Light

    Can you give me the name from the paper from this diagram?
  2. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    I'm currently working on a computer simulation of the topic here, so I'm a bit off the thread, but in general its often important to check the sources in Wiki, maybe someone here is doing that.
  3. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    My visualization was a bit different, I first tried to insert it into a "different system" and that doesn't work without relative speed. I had done it like that before (as mentioned in the link above) (in a different area), but somehow I didn't see it right away (I'm a bit tired). Then I...
  4. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    I would have done it the same way. My model that I mentioned earlier was based on particles at rest, so I hadn't thought about the relative speeds. I would have solved it the same way. I must mention, however, that I am assuming hard determinism, which only appears to be random because we lack...
  5. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    The approach on tec-science.com reminds me of Feynman's path integral method. This is typically how I approach these things, and I hope this method is more precise than it may initially seem to you. I'm curious to see how PeroK will respond. The "German solution" (tec-science) seems solid to me...
  6. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    At the moment i think √2 is correct. https://www.tec-science.com/thermodynamics/kinetic-theory-of-gases/mean-free-path-collision-frequency/
  7. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    Yes, i do. :) This would be an very interesting and important point, but i can not comment on that at the moment, i will follow your discussion about it.
  8. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    Of course that's correct, but in the course of the thread I was only concerned with whether the derivation via the "other way" also works. The background is that I had followed an approach there that I had already worked on and I specifically put the book down to see whether I could derive it...
  9. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    Did you understand why this (In my context) leads to p ∝1/V (p = pressure) ? If the connection is not clear I will plot it in the next days step by step with Jupyter in python.
  10. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    @Charles Link I do not speak about n in chemistry books, i speak about the relationship between pressure and volume (p1*V1=p2*V2). If I increase the volume by double, the pressure decreases by half, and vice versa.I think you won't doubt that? It should be easy to see how one arrives at the...
  11. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    As I wrote, I took a standard volume of 1, N/1 is always N, so n = N. This gives me the relationship I described above, which ultimately leads to p1*V1 = p2*V2 and that is also stated in all chemistry books, so i think this is also a way to go.
  12. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    I think we need to change here the number 1 with the volumina and in the calculation above we need to add the units. As fair as i understand the way its an absolute reference without the units.
  13. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    Yes there is a maximum for n. If n is high enought, then we had P = 0, because we have so many atoms, that no atom can move. But yes your are right, we need to add the case to (but there are some more additions to make). So: Px = 1-n* σ * Δx If Px ≥ 0 ⟶ P = Px If Px < 0 ⟶ P = 0
  14. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    First i have try to get your first post, he is a little dense. I have started to loosen up a bit: Thoughts on Ideal Gas (Mathematically) ----------------- The probability that a particle travels a very short distance (Δ𝑥) without colliding with another particle decreases depending on the...
  15. Calstiel

    Question About Ideal Gas and Average Free Movement of Molecules

    @Charles Link I had a quick look at it yesterday and I agree with the beginning of the derivation, it looks like a solid way to solve the problem, but I think I have one more comment to make, which I will probably comment on later. Is this your derivation or a standard solution?
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