Teacher:--"We have already seen that the average kinetic energy of the molecules in a gas is proportional to the absolute temperature of the gas."--
J. Ghitis:** Each of the molecules of a fluid --gas or liquid-- possesses its own kinetic energy resulting from its movement as an object. Thus, each molecule has the momentum of mass times velocity. There is no absolute temperature of the fluid, but of each molecule, thus an average temperature of the total molecules of the fluid in a container. The kinetic energy of each molecule as an object may be referred to as 'macrokinetic.'
If a fluid is forced to move, its kinetic energy increases proportionally to its movement, even though its heat (measured as temperature) remains unchanged. What you say is almost true only when the fluid is static, i.e., when its inertia is determined only by its mass.
Completely different is the case of 'microkinetic' energy, which is the 'vibrational momentum' present exclusively in the outermost electrons of atoms, which is manifested as what we call 'heat' and is topically measured as 'temperature.' Such energy is received by the outermost electrons of each atom from a source of external energy, such as chemical or luminous. The temperature of a whole object cannot be measured, so that when a given degree is stated, it refers to the presumed temperature of the object when assumed that all its atoms' electrons have the same microkinetic (vibrational) energy. We can see the agitation of water at boiling temperature, and know what will happen if we touch it. What we might not know is that such agitation is actually the manifestation of convection, and that its (macro) momentum is relatively insignificant. It is the microkinesis of the component water atoms what causes damage to our skin. Does the wall of the container show agitation at that same temperature? Yet it causes a more extensive burning, because its dense material contains more atoms than the fluid inside. The few air molecules in a hot house oven cause no significant damage to a hand that avoids touching its walls. **
T:--In a gas the atoms are moving randomly. In a solid, the atoms can move randomly about their equilibrium positions. In addition, the solid as a whole can move with a given velocity and have ordered kinetic energy. Only the kinetic energy associated with the random motion of the atoms is proportional to the absolute temperature of the solid.
The average kinetic energy associated with the random motion of a any substance is proportional to the absolute temperature of the substance.--
JG:** Again, it is the microkinetic energy of the vibrating electrons of the atoms heated from an external source what determines the temperature of the solid. The "ordered" kinetic energy of a solid as a whole is of the macrokinetic order, being the (macro) momentum of the solid.
I postulate that the need to conceive macro- from micro- kinesis as different physical entities is evident. **