Drakkith said:
I'm not 100% sure of the mechanics of a gas, but arent you are either adding heat through gravity, or you are compressing the gas and its heat into a smaller space, raising the temperature but not adding any heat? (Not sure which one)
The latter.
Edit: Also, adding Heat is adding energy to something, isn't it? I realize that it might be a bit questionable to say heat = thermal energy, but everything I've read has used the 2 terms interchangeably. Seems pretty straightforward to me.
To a physicist, heat is the quantity Q in \Delta U = Q - W (or in terms of derivatives, dU/dt = \partial Q/\partial t - \partial W/\partial t). Heat (Q) and internal energy (U) are not the same thing. Internal energy is not even the same as temperature; temperature is but a component of the internal energy of some system.
Changes in temperature can result from
- Heat transfer (non-zero Q or \partial Q/\partial t),
- Work (non-zero W or \partial W/\partial t) or
- Changes in the components of internal energy itself.
Star collapse is an example of temperature change in which neither heat transfer nor work is involved. Here's another example: Suppose we have a very sturdy, thermally insulated gas chamber outfitted with a spark plug. Obviously closing the circuit on the spark plug will transfer heat to the gas in the chamber, but we can make this heat transfer quite negligible by making the time interval over which the circuit is closed very small.
Now fill the chamber with O
2 and close the circuit briefly. Not much happens. The O
2 gas will increase in temperature by a tiny amount due to the spark. But at least we have quantified how much heat transfer is involved with triggering the spark. Now empty the chamber and fill it with H
2. Once again, not much happens when the circuit is closed. Now add some O
2 to the H
2 already in the chamber such that there is one molecule of O
2 for every two H
2 molecules in the chamber. Now close the circuit.
Kaboom! This time there is a large change in temperature. We've just quantified how much energy the spark adds (not much). The chamber is thermally isolated, so except for that tiny amount of transfer from the spark the chamber is essentially adiabatic. The chamber is very sturdy and rigid, so no work is involved. The temperature has changed solely because of the conversion of chemical potential energy to thermal energy.