00:01
And on this question, you were looking at, you know, the luteamine square aspect of diatomic gas molecules, like hydrogen molecules, oxygen molecules, right? you know, insomidynamic, insomac ribium, an ideal gas, the average kinetic energy of a molecule could take, the average kinetic energy of a molecule could take, is 3 kb t over 2.
00:36
Kb is a broadom constant.
00:38
And t is the temperature in calvins, right? and this is true whether you are a monoatomic or a diatomic molecule or not.
00:54
In the case of as long as you're looking at the lutamine square speed, which is constant.
01:01
With only the translational degree freedom.
01:04
So it has nothing to do with the rotation degree freedom, right? so as long as you're constantly with translational degree freedom, which is related to the speed, and the each degree freedom will carry energy, which is kbt over 2.
01:19
So you have three translation degree freedom, that would be 3 kbt over 2.
01:23
And this has to be the mean square speed, squared, right? so if i take squared, velocity times the mass of the molecule divided by two, and this must be the same, right? and if you look at the oxygen, which is much heavy and obviously, the speed will be less, maybe just a quarter there of the luminous, little minuscript speed of the hydrogen, right? so hydrogen is much lighter, so it's much more nimble, right? is four.
01:58
So actually, if you write the v for hydrogen, it would be four times that of oxygen, all right? because the left hands of this equation is constant at the same ratio on the right -hand side, where it will be constant as well.
02:12
So when the mass increase, this is squared with decrease.
02:17
And if we increase the temperature by 100 degrees, and of course on the right -hand side, we also increased.
02:28
And then we squared, we increased by how much? we increased by this much, one plus...