# Temperature change inside pressure chamber

Let's say there is a pressure chamber with some sort of sample / specimen (e.g. protein crystal) in it. Now I apply a certain amount of gas pressure, e.g. 10 or 20 atm. Let's say I use xenon as a gas.

I'm wondering what will happen to the temperature inside my chamber - from the ideal gas law you get a reciprocal relationship between temperature and pressure, so given all other things stay the same (i.e. the chamber volume), what is the temperature change / final temperature as seen by my sample? I'd start at room temperature and go from there .. Obviously, the gas is compressed to start with (and has a certain temperature as well).

-

-
Charles's law is about interdependence of volume and temperature .. i want to work at constant volume and vary the pressure. Since according to the ideal gas law varying P or V is equivalent, I could still use the same principle as in Charles's law though. However I would get that going from 1 atm at 293 K (ambient conditions) to 2 atm would mean cooling the interior of the chamber by 146.5 K in a (possibly) short amount of time, thereby shock frosting my sample .. is that correct? And does it not make a difference that the gas used for pressurization is already compressed? –  user9730 Mar 27 '13 at 17:16
$$PV=NkT$$
In the kind of pressure chamber I think you have in mind, the pressure is typically increased by pumping more air (or other gas) into the chamber, i.e. increasing $N$. The effect on the temperature will depend on how the compressor works. Here you can read about the temperature effects of compressing gas depending on the process.