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Feb 19 at 21:34 comment added CBBAM Thank you for all your help! I understand now.
Feb 19 at 21:15 comment added QuantumBrachistochrone Again, $K$ is not well defined in the thermodynamics, so although you can interpret $K$ containing the information of heat, you usually thinks of $K$ ($mv²/2$) as something different of heat, in this case you have $E=K+U+I$, where $K$ and $U$ are more like classical mechanics. If you want to use something like $K=k_BT/2$, then $K$ is an intern energy, and we have $E=K+U$. It's just definition, you can use the definition you want, but be clear (a lot of texts are not clear).
Feb 19 at 19:22 comment added CBBAM What do you mean that those processes, such as adding heat, does not interfere with $K$ or $U$? Doesn't heat increase $K$?
Feb 19 at 19:13 comment added QuantumBrachistochrone You can define total Energy as many things, but in general yes, $E=K+U$ where $K$ and $U$ can vary, but $E$ remains constant. Internal Energy $I$ is a convenient another kind of energy that you can manipulate with processes that does not interfere in $K,U$, as adding heat.
Feb 19 at 19:09 comment added CBBAM Thank you. So if I have understood correctly, then the total energy is always $E = K + U$, but sometimes we distinguish the internal/external energy for convenience?
Feb 19 at 18:47 history answered QuantumBrachistochrone CC BY-SA 4.0