Well, remember, a mole has an avocado's number of molecules. So I simply take my formula and divide it by N. So three times R times two divided by two N. The reason I singled out the R and the N is because this guy is known as a Boltzmann constant. In other words, scientists use some value k that equals r divided by n. So we replace this R divided by n with k called the Bolton constant, and our equation becomes three times k times t over two. Which is the same thing as saying three times R times t divided by two times n.
So once again, for one molecule, a single molecule, to find the kinetic average of that molecule, we simply use this formula where k is at boltsman constant. Now, to find the average kinetic energy of a mole of molecules, we have to use this formula. Now note that at any given time, our molecule can have any kinetic energy.