Calculating Average Density and Pressure for Denser Particles

[sam_021]

Homework Statement

I have a grid with
Surrounding density = rho
Surrounding Temp = T
Surrounding Pressure = P

And I also have denser particles which over all have
density = 10rho
temp = 10T
Pressure = P

Now I want to average the densities, and have that as my new surrounding density with no particles .. But if i take the averages, I will get a different value for the pressure whiche doesn't make sense
How would I take the average ?

Homework Equations

The Attempt at a Solution

 

[clamtrox]

If the particles don't follow the same equation of state, how do you calculate the pressure for the combined gas? Or should you have the temperature of denser particles be 1/10 T?

 

[sam_021]

If the particles don't follow the same equation of state, how do you calculate the pressure for the combined gas? Or should you have the temperature of denser particles be 1/10 T?

sorry yes T= 1/10 K
and I think i worked it out, would this be the average density:

(Volume of particle/total volume)*(10rho) + (Volume of surrounding/total volume)*rho = Average density