Electron repulsion per unit volume

[taylaron]

Hi, I am trying to calculate how many electrons I need to confine in one cubic centimeter to make the pressure on the "walls" 1psi. I've tried the equation for the repulsion of two charges, but we're talking about trillions of electrons here and they're all pushing on each other however slightly. Yes, the force exerted on the electrons toward the center of the cube will have neutral net repulsion but its the ones on the edge that stump my calculations.
Could anyone help me out here or suggest a reference?

Thanks in advance-

-Tay

 

[Vanadium 50]

You can calculate the energy of a sphere (that's probably the easiest shape to start with) of radius R and total charge Q, and then look at dE/dr.

 

[pixel01]

Sorry, the wrong topic