# Questions tagged [kinetic-theory]

Kinetic theory is part of statistical physics. DO NOT USE this tag for macroscopic kinematics; use the [kinematics] tag instead.

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### What Assumptions Govern the Applicability of the Boltzmann Distribution?

In the book "Concepts in Thermal Physics" the Boltzmann distribution is derived with the following assumptions: There are two systems, one enormous heat reservoir and one comparatively ...
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### How is this relation between energy, temperature and number of microstates derived?

In "Concepts in Thermal Physics" (second edition) by Blundell and Blundell, temperature is defined using the following relation: $\frac{1}{k_BT}=\frac{\mathrm{d}\ln(\Omega)}{\mathrm{d}E}$. ...
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### Intuition behind order of speeds in kinetic gas theory

In kinetic gas theory, we have the following result for the order of speeds $v_{rms}>v_{av}>v_{mp}$ i.e: the ratio of $1:1.128:1.224$ for the speeds $v_{mp}:v_{av} : v_{rms}$. Definitions (...
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### How can mean free path affect the propagation of sound in a gas?

I was thinking, since mean free path is a measure of "how long" a particle has to travel to collide with another, that this surely must influence sound propagation somehow. I would say this ...
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### How can kinetic theory be used to verify Dalton's law of partial pressures?

I have been told Dalton's law of partial pressures can be proved from kinetic theory. This is my reasoning for why this might be: Since in kinetic theory there are no forces of attraction between the ...
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### The range of velocity in Maxwell Velocity Distribution [closed]

If we see the formula for velocity distributions in x,y, and z-direction their range of velocity goes from -infinity to +infinity but when we take the whole velocity distribution, the range goes from ...
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### What is contribution of Rotational Kinetic energy in temperature of gas according to kinetic theory of gasses?

We know that, for one molecule of ideal gas, $U = \text{Kinetic energy} = \frac{f}{2}RT$ where $f$ is the number of degrees of freedom, $R$ is the gas constant and $T$ is the absolute temperature. So ...
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### Difference in deriving sound waves in liquids and gases

In our fluids course we derive the small amplitude approximation of waves in both a perfect gas and liquids using the Navier Stokes Equations, Mass Conservation Equation and then: for a perfect gas, ...