Is there a highest possible temperature?

Its not known but the hottest temperature (absaloute hot)

Is believed to be the Planck temperature which is 100 million million million million million degrees Celcius., or 10/32 Kelvin.

A hotter temperature than the hottest can exist theoretically though.

Infinite temperature is believed to be possible at the very centre point of the inside of a Black hole were all matter could be pushed into the size smaller than the head of a pin.

It depends on substance - how much demolition can it take before it turns to quantum mess.

Temperature is statistical term developed within thermodynamics. Thermodynamic itself was developed mostly in 19th century when atomic structure of substance wasn't known yet, or at least wasn't recognized as relevant. In TD, concepts of heat transfer were built through analogies with fluid flow, and matter was considered to be continuous. Temperature was used to describe thermal state of substance as a whole. Even when it became clear that matter consists of atoms and molecules with different energies, scientists continued to exploit this concept, and temperature became measurement of mean energetic state of set consisting of many particles.

As in every statistic, parameter that describe mean value become less and less relevant as number of elements in a sample decreases.

So it has no sense to calculate temperature of a single atom or molecule. We must have set of large number of some equivalent of "billiard balls" if we want to speak of temperature in classical sense (as in kinetic theory of gases).

And what happens when we add more and more energy to substance - it disintegrates to molecules, then atoms, then turns to plasma. Finally we get particles that are so small that "billiard balls" analogy cannot be applied, since wave phenomena and uncertainty come in.

Well, let's forget about reality and have some fun playing with numbers. Start with what Dr. R once said:

http://answers.yahoo.com/question/index?qid=200809...

Have fun!

No, because you can always add more thermal energy to particles to increase their temperature.

For any material at a particular pressure, there *is* a maximum temperature before it will go from a solid to a liquid, and then to a gas, and finally to a plasma.

well it actually depends on the substance... you can go up to 1000000 degrees with some substances.. so really there is no hottest temperature and even with the lowest temperature, again it depends on the substance, like for water the lowest temperature is 0 degrees, for other substance the freezing point is different

Probably but to experience it you would have to be at the center on the sun.