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Why is the probability that the collision angle will be in the range of 0 to 60 degrees than in the range of 60 to 180 degrees

Pretty much the title. It is given that the probability that the collision angle will be in the range of 0 to 60 degrees than in the range of 60 to 180 degrees I don't remember seeing such statement ...
22 views

Collision frequency of ideal gas and velocities of molecule

Is collision frequency of gas molecule $= \frac{V_{RMS}}{\lambda}$ where $\lambda$ is mean free path. Shouldn't it be $\frac{V_{average}}{\lambda}$? (I often see that in theories books suggest that ...
63 views

Kinetic Molecular theory ideal gases, deriving the equation $PV = \frac{1}{3}mN C^2$

The problem I have with this proof is how to acquire the fraction $\frac{1}{3}$. In theory we were taught by taking into consideration a rectangular vessel which obviously has three paths which a ...
61 views

Ideal gas equation vs Kinetic theory equation

From the ideal gas equation: $PV = NkT$, since Pressure times Volume = Energy, my understanding is that the total (internal) energy of $N$ molecules of a gas $= NkT$. However from the kinetic theory ...
56 views

What is the PDF of relative collision speeds in an ideal gas?

In the Kinetic theory of gases, the speeds of particles follow a Maxwell-Boltzmann distribution. However, what if one is interested in the distribution of relative collision speeds, aggregated over ...
125 views

Derive the kinetic gas equation [closed]

I need a proof of high school level I have confusion in taking probabilities in all directions not yet concluded this, and I need a proof using momentum i.e I need a high school level proof
30 views

What happens when a photon hits a particle (radiative heat transfer, photoelectric effect)?

By relating temperature to particle motion, the kinetic theory of gases gives an intuitive explanation of conductive heat transfer; faster particles collide with slower ones to transfer kinetic energy....
29 views

Determining Gas Constant $R$ from Boyles Law?

I have done an experiment (Boyles Law experiment using Boyles Law Apparatus) in order to determine the value of the gas constant $R$. I have also taken into account the dead space volume in my ...
50 views

Why use a cube as a reference volume in the kinetic theory of gases?

In basic kinetic theory we often use cubes. For example, the derivation of the ideal gas law is done with a cubical volume. Is a cube necessary for it to work? If not, wouldn't a sphere be more ...
35 views

612 views

When gas from a cooking gas cylinder is used, the pressure does not fall appreciably until the last few minutes. Why?

When gas from a cooking gas cylinder is used, the pressure does not fall appreciably until the last few minutes. Why? This was a question in one of my reference books and I couldn't answer it. ...
1k views

What is the speed a gas expands into a vacuum?

A gas in a Joule free expansion expands into an evacuated chamber. It does this with a certain speed. Since gas molecules move into the vacuum, that speed must be dependent on the molecules' mean ...
41 views

What is the microscopic equation to calculate sound speed in an ideal gas? [duplicate]

The common equations to calculate the sound speed in an ideal gas use macroscopic quantities, e.g.: $$c = \sqrt{\frac{\gamma RT}{M}}$$ What I am interested in is an equation that determines the ...
57 views

What is the kinetic energy of a number of discrete particles and question related to Thermodynamics [duplicate]

If I have a Number of gas molecules in a container each having some velocity $v(i)$, what would be the $K.E$ of the gas? Will it be the sum of kinetic energies of the individual particles or will it ...
499 views

Derivation of Specific Heat of an Ideal Monatomic Gas at a Fixed Volume from Maxwell-Boltzmann Distribution

How do I derive the specific heat of an ideal monatomic gas from the Maxwell-Boltzmann distribution? I think I understand the derivation based on degrees of freedom, but I'm supposed to be able to ...
520 views

Is mean kinetic energy related to temperature of a system of interacting classical particles?

I'm trying to intuitively understand what temperature is for a system of classical particles. The usual definitions via Gibbs measure or entropy appear very unintuitive me. But, as for ideal gas ...
390 views

Relationship between energy and temperature in ideal gas

I have encountered this old question and since I was bored I figured I use statisical mechanics to derive the relationship $E=\frac{3}{2}kT$ for a single particle in an ideal gas without using outside ...
79 views

Pressure of a Gas and average velocities in each direction

I am learning to derive the equation of pressure of the gas which is given at the bottom of following photo. Just want the explanation of the statement "Because there are many molecules and because ...
1k views

Limitations of the ideal gas law: When does it fail?

Motivation I ask this question precisely because I am looking for a fundamental, quantitative explanation of the limitations of the ideal gas law and when it should not be used. Note, I have found ...
2k views

Rate of collision of gas molecules

On what factors does the rate of collisions of gas molecules with walls of a container depends? I know one would be temperature but are there any other factors like density,pressure,volume etc. I ...
507 views

How Quickly Do Gases Mix?

When I pick up my scuba tanks from the dive shop, I measure the nitrogen and oxygen levels in it. I check that they are close to what I specified and calculate the maximum depth it's safe to go to to ...
513 views

Compressibility factor and deviation from ideal gas behaviour

I have recently started to study the deviation of ideal gas behavior. The source from which I am reading doesn't give me an intuitive understanding of the compressibility factor. I dont understand how ...
332 views

Ohnesorge Number - why square root?

I understood the Weber number, but why would the Ohnesorge Number go like this: $$Oh = \frac{\text{viscous forces}}{\sqrt{\text{inertia \cdot surface tension}}}$$ Why the root? There seems to be no ...
165 views

What VOLUME does exactly the $V$ term in ideal gas equation represent?

According to kinetic theory of gases 'the actual volume occupied by the gas molecules are negligible in comparison to the volume of the container.' I believe that this assumption is significant ...
518 views

How does pressure change over time in an open box?

Imagine that you have a 1 cubic meter metal box with two 20 mm diameter holes. One of them is connected to an air-compressor that constantly pressurizes the inside of cube. Let's say 5 atm. The other ...
703 views

Deriving Ideal Gas law from Hamiltonian Mechanics

I just don't understand the explanation in Wikipedia. Is there a nice & elegant way of arriving at the Ideal Gas Law from Hamilton's Equations?
$$E = (3/2) kT$$ For average kinetic energy of a molecule gas.The constant $k$ does not depend on the type of molecule. Can this result be true for both hydrogen and chlorine?
$\mathbf{Q:}$ While teaching "Real Gases", my professor remarked last day that "Liquid phase is a highly compressed gaseous phase." But he did not explain the reason behind it and left it as food for ...