welcome to our next unit on the kinetic theory of how these are actually controlled by what the atoms air doing, as in what their speeds and kinetic energy czar. So this connection will allow us to measure something very macroscopic, like a temperature or pressure, and actually determined the average speed of an individual atom inside that system. So this is an extremely powerful theory. Now, in order to do this, we need to have the right picture inside our head, which is that inside a box filled with gas, we have many particles that are all moving in different ways. They're moving in different directions, and they're moving with different speeds. So what we're looking for here is some sort of way to average out the behavior of these particles and also determine what is the net effect of that average behavior, which will hopefully lead us to a relationship to pressure, volume, temperature, things like that. Now, in order to do this, we're still going to need some pretty strong assumptions here. So we're going to stick with the ideal gas assumptions. Remember, this means that we have a low density high temperature, no interactions between the atoms except elastic collisions off each other and elastic collisions off the walls. Eso all of that still applies here, except we're going to take it in kind of a in a smaller perspective, where we're going to think about how are these atoms running into each other, as opposed to simply What is it that we are measuring in a macroscopic perspective? And if we do this right, hopefully by the end of it, you'll have some understanding about how the macro and the micro relate to each other.