00:01
Hey everyone, this is question number 12 from chapter 14.
00:03
In this problem, we're given a copper cylinder is at an initial temperature of 20 degrees celsius, and we're asked to find temperature when the volume is 0 .15 % larger.
00:15
Okay, so we're talking about volume, and we have temperatures, so we should be thinking thermal expansion, so volume expansion.
00:23
So we need our coefficient of volume expansion for copper, which is equal to 5 .1 times 10 to the negative 5.
00:41
Okay, so now we can write out our equation for volume expansion, which is delta v is equal to v -not beta delta t.
00:56
So we're solving for delta t, and when you're looking at this, we don't have v -0, but we do have a delta b because we're asked to find it when volume is 0 .15 times larger.
01:09
So that means that delta v is going to be equal to v0 times 0 .15, and then this is a percentage, so we have to move the decimal place over 2, or divide by 100, so 0 .15 times 10 to the minus 2.
01:30
So we do actually have an expression for delta v, and we can go ahead and solve this equation for delta t...