Re: [Phys-l] Temp & Energy density

[Brian Whatcott <betwys1@sbcglobal.net>]

Paul Lulai wrote:
> Hello.
> I am curious about the conditions for which energy density = temp of a  
> gas.
> For this question I have a small cylinder if gas with only a few gas  
> particles.
> Using work, if I squeeze a piston down when the few gas particles are  
> at the bottom of the cylinder, then I have not given them any extra  
> energy through a work process. Their temperature should remain constant.
> Using energy density, this sneaky work  can't be ignored. Energy  
> density would show a temp difference regardless of how the piston was  
> compressed.
> This leads me to think the energy density solution includes some  
> assumptions that I do not know.
> I appreciate any help available.
> Thanks.
>
>
>   
If you compress a cylinder of gas (even a few molecules) then, in the
usual kinetic theory the pressure which those molecules exerted on
impacting walls and pistons now impact a smaller area, a higher
pressure and warmer, surely?

Brian W