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- Homework Statement
- Find the number of microstates for a gas of N hard spheres of radius r and volume v in box taking into account the reduced volume after each sphere. V sphere << V box.

Find the state equation for the gas.

- Relevant Equations
- ##\Omega = \frac{N!}{(N-n)!n!}##

##dE = Tds - Pdv##

Hi,

I have to found the number of microstates for a gas of N spheres of radius r and volume v in box taking into account the reduced volume after each sphere. V sphere << V box.

I'm struggling to find the microstates in general.

I don't see how to find the number of microstates without knowing the volume.

After each hard sphere the free space decreases, so the pression increase and if the pression increase the temperature should increase as well and so the energy.

If this statement is right I don't know know how to write it mathematically to find ##\Omega##

I have to found the number of microstates for a gas of N spheres of radius r and volume v in box taking into account the reduced volume after each sphere. V sphere << V box.

I'm struggling to find the microstates in general.

I don't see how to find the number of microstates without knowing the volume.

After each hard sphere the free space decreases, so the pression increase and if the pression increase the temperature should increase as well and so the energy.

If this statement is right I don't know know how to write it mathematically to find ##\Omega##

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