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...
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...
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?
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...
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...
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...
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...
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 +...
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...
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##...
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...