00:01
Okay, so we have a water tank filling with 20 degrees celsius water.
00:08
And they tell us that it can withstand tension caused by and a volume expansion of 0 .8%.
00:19
And we want to know the maximum rise in temperature allowed here.
00:24
So we have our t1, our initial temperature, of 20 degrees celsius.
00:35
And they also tell us that beta is constant, and that can just be beta at 40 degrees celsius.
00:42
And if you look that up, you find that it is 0 .377 times 10 to the negative 3.
00:59
And so what we need to do here is take a look at the equation for, beta.
01:12
So beta is equal to basically one over the change in temperature times the change in density over the actual density.
01:29
But density is proportional to the volume.
01:34
So we can use that and say that beta is also equal to delta t.
01:46
The volume.
01:47
The value.
01:48
Change times the volume, or divided by the volume.
01:54
And then we can use that to solve for delta t, which is what we need...