00:01
For this question, we are asked to calculate the volume of the nucleus and the volume of the atom and then determine the percentage of the volume that is occupied by the nucleus.
00:14
And we are also asked to assume two sig figs in our answer.
00:18
So we're given the radius of the nucleus is 2 .7 femtometers and that the atom is 70 picometers.
00:25
In order to be able to compare their volumes, they have to be in the same units.
00:30
And since both the nucleus and the atom are spheres, we're going to calculate the volume of the sphere using four -thirds pi r cubed.
00:39
So the prefix femto means 10 to the minus 15th.
00:44
So 2 .7 femtometers is 2 .7 times 10 to the negative 15th meters.
00:51
For the atom, we're given 70 picometers and pico is 10 to the minus 12th.
00:58
So that would be 70 times 10 to the minus 12 meters.
01:03
So we're going to calculate the volume of the nucleus and that's going to be four -thirds pi r cubed, which is four -thirds pi times 2 .7 times 10 to the minus 15th cubed.
01:25
And if you do that math correctly, it would be 8 .2 times 10 to the minus 44th cubic meters.
01:34
So that would be the volume of the nucleus...