00:01
Chapter 1, problem 37, asks us to calculate the density of a hydrogen nucleus and a hydrogen atom, using information provided in the chapter.
00:11
So let's start with calculating the density for the hydrogen nucleus.
00:18
If you remember the equation for density, density is mass over volume.
00:28
And in this case, we'll be using grams over centimeters cubed.
00:36
So let's first start by looking at the mass of the nucleus.
00:39
Nucleus.
00:40
This is pretty easy.
00:41
It'll just be the mass of the proton in the nucleus, which, given in the textbook, is 1 .67 times 10 to the negative 24 grams.
00:55
Now let's consider the volume.
00:58
We're given in the textbook that the radius of the nucleus is 5 times 10 to the negative 14 centimeters.
01:05
If you remember the volume equation for a sphere, it's four thirds, pi, r to the cube.
01:16
And we know that r in this case, or the radius, is 5 times 10 to the negative 14.
01:25
So that's our equation for the volume.
01:28
And calculating that out, we get 5 .23 times 10 to the negative 40 centimeters.
01:37
Cubed...