# Questions tagged [ideal-gas]

A gas that behaves as randomly moving, non-interacting molecules. This allows a simplified equation of state.

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### Gas confined in a box

I have a gas with $N$ particles in $D$ dimensions confined in a box, I have written the Hamiltonian as $$H = \sum_{p=1}^N\sum_{d=1}^D\frac{p^2_{pd}}{2m}+V_0[\theta(-q_{pd})+\theta({q_{pd}-L_d})]$$ ...
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### Why am I getting a different answer than my book?

Problem: $1 mol$ helium gas is kept at $2\times10^5Pa$ pressure and $600K$ temperature in a heat-insulating cylinder on top of which a frictionless piston is attached. Then the cylinder's pressure was ...
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### Physics 1 HW Problem: Finding the relative humidity given change in temperature [closed]

Air that is at its dew point of $5°C$ is drawn into a building where it is heated to $25°C$ . What will be the relative humidity at this temperature? Assume constant pressure of $1.0 \ \mathrm{atm}$. ...
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### Maxwell-Boltzmann distribution as the most probable [closed]

In Statistical Physics: An Introduction, by Daijiro Yoshioka, there's a neat derivation of the Maxwell-Boltzmann distribution as the most probable distribution of an Ideal Gas. He uses the method of ...
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### Elastic potential of a balloon and pressure equilibrium

There are two different pressures acting on the surface of a balloon, the external one is clearly weaker than the internal one, so there must be a force that create equilibrium and avoid the balloon ...
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### Deriving a formula for the pressure exerted on a container wall due to a single particle colliding on it/bouncing off it

I am writing a python script to simulate ideal gas particles in a circular container (in 2 dimensions only). One thing I need to do is add code to calculate the pressure on the container due to a ...
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### Does the compressibility factor of a gas depend on the number of moles of a gas?

$$\text{Compressibility factor}, Z=\frac{PV}{nRT}$$ Apparently, $Z$ depends on $n$. However, I suspect that $Z$ doesn't depend on $n$ because according to wiki, "It (Compressibility factor, $Z$) ...
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### If saturated vapor does not obey ideal gas laws then how is mass of the saturated vapor proportional to the saturated vapor pressure?

My textbook mentions that unsaturated vapor obeys ideal gas law but saturated vapor does not. I could understand that air/vapor are not ideal so they won't obey ideal gas laws. But how can unsaturated ...
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### Temperature increase needed to make pistons not move - where is my calculation wrong? [closed]

I feel like I'm missing something here. 2 pistons are connected like in the picture.I know the area of the big cylinder is 100 $cm^2$ while the one of the small cylinder is 50 $cm^2$ and that the ...
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### Why do we use the time taken between collisions for the time taken for the collisions to occur when deriving the pressure for an ideal gas

Why do we use the time taken between collisions for the time taken for the collisions to occur when deriving the pressure for an ideal gas $pV=1/3Nmc^2$. The impulse of the collision is $2mv$. Force = ...
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### Real process connecting two states of a gas?

If we start with an ideal gas at state 1 and perform an isentropic compression, then follow this with an isothermal expansion we could end up in state 2 that has higher temperature, higher pressure, ...
In a statistical physics lecture, I found an equation describing the entropy $S$ of an ideal gas and it is said that equation can be obtained thanks to elementary thermodynamics formulae. The equation ...