00:01
Okay, here's our thermometer before and after the expansion of mercury.
00:06
Real quick, we should look up the volume expansion coefficient of mercury, which is 1 .82 times 10.
00:14
It's negative 4 inverse degrees celsius.
00:18
Now we can look at the volume expansion equation.
00:21
Delta v is equal to beta the initial times delta t.
00:27
We know that our volume equation for a sphere, which is the initial volume of mercury, it just fills this spherical bulb, is four -thirds pi, and then r -cubed, which for us is the diameter, half of the diameter.
00:45
There's, of course, diameter is twice the radius, and we're given the diameter, so we're going to work in terms of diameters.
00:51
But this is diameter of the bulb, of course.
00:54
And that's all cubed times delta t.
00:58
So let's work in our numbers.
01:00
Delta v is equal to 1 .82 times 10 negative 4 times, i'm going to change my brackets here, 4 thirds, pi of the diameter of the ball...