Recent content by Seydlitz

  1. Seydlitz

    Deriving Ideal Gas using Molecular Flux Equation

    There exist indeed the derivation of pressure already, but I'm trying to do the same using only the molecular flux formula created beforehand without integrating all of the quantities from the beginning. I think I understand now, what you said makes sense. All of the particles in the flux...
  2. Seydlitz

    Deriving Ideal Gas using Molecular Flux Equation

    Here is one way of deriving it. (Page 3 Molecular flux) http://www.lehman.edu/faculty/dgaranin/Statistical_Thermodynamics/Molecular_theory.pdf The derivation sums molecules moving in one direction per surface I think but you can re-check it. If we need to half the molecules, the final formula...
  3. Seydlitz

    Deriving Ideal Gas using Molecular Flux Equation

    Ah yes. It makes sense, thanks for noticing that. But can I find any workaround though if I still want to use the derivation, or it's just not possible to get the ideal gas equation back?
  4. Seydlitz

    Deriving Ideal Gas using Molecular Flux Equation

    This might be the reason why there's that strange factor. I thought I can replace that term that looks like average kinetic energy with the usual ##3kT/2##. Maybe I can't? But I don't see any problem. The mass of the particles are all the same and I'm using average velocity. So it's the average...
  5. Seydlitz

    Deriving Ideal Gas using Molecular Flux Equation

    Sure. So basically instead of using the usual ideal gas derivation, I just take the molecular flux, which is the rate of the number of molecules per area and multiplied it by the change of momentum of one particle to get the pressure. The reasoning is pretty similar to the classic superman...
  6. Seydlitz

    Why is the flux through the top of a cylinder zero?

    What textbook? It's important to know what kind of charge distribution you have inside the cylinder and how it's positioned.
  7. Seydlitz

    Deriving Ideal Gas using Molecular Flux Equation

    So basically I was wondering whether it's possible to get the expression of ideal gas using molecular flux equation which is ##\phi = \frac{1}{4}\bar{v}n##. The derivation should be straightforward. I need to get the expression of pressure. Because the flux by definition already gives the rate...
  8. Seydlitz

    Effect of different atom on Compton Shift?

    Hi guys long time no see, I'm having a small difficulty here in understanding the process. Looking at the equation and the derivation of it, it seems clear that the shift in wavelength can only be caused by the target mass. If we are talking about electron being hit by x-ray, then I take it...
  9. Seydlitz

    Finding an upper-estimate for a sequence.

    Ok guys thanks for the input. I'll try the sandwiching the guys first.
  10. Seydlitz

    Finding an upper-estimate for a sequence.

    Hi guys, I'm on the verge of sandwiching this particular sequence but I need rather tight upper estimate to trap the limit to 1. I can only manage to get the sequence that converges to ##e## as the current upper estimate. Is it possible to get tighter bound than that? \\ 1 +...
  11. Seydlitz

    Notation used in matrix representation of linear transformation

    It's an example problem. The desired matrix is just the same with my own work, but somehow transposed.
  12. Seydlitz

    Notation used in matrix representation of linear transformation

    Thanks micromass for the help. It makes sense. I managed to get that matrix by post-multiplying ##[T]_b## with the transition matrix ##P_{B' \to B}##. I was just really confused because one of the text that I'm reading apparently got the matrix wrong. (Not considering the fact that they use...
  13. Seydlitz

    Notation used in matrix representation of linear transformation

    Hello guys, Let ##T: \mathbb{R^2} \to \mathbb{R^2}##. Suppose I have standard basis ##B = \{u_1, u_2\}## and another basis ##B^{\prime} = \{v_1, v_2\}## The linear transformation is described say as such ##T(v_1) = v_1 + v_2, T(v_2) = v_1## If I want to write the matrix representing ##T##...
  14. Seydlitz

    Why Does an Object at a Lens's Focal Point Create an Image at the Same Location?

    Wow I have never thought it like that, thanks for pointing that one out!
  15. Seydlitz

    Why Does an Object at a Lens's Focal Point Create an Image at the Same Location?

    Homework Statement A small object is located on some distance from a converging lens. At some distant behind a converging lens lies a flat mirror. The resulting image is exactly at the same location as the small object. Why can we deduce that the object is located in the focal point of the...
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