00:01
Hi there, so for this problem we're told that if a glass specific gravity bottle holds 50 ,000 milliliters, so we're given its initial volume, 50 ,000 milliliters, add a temperature, we're going to call this the temperature 1, that is equal to 15 celsius degrees, and we need to find its capacity, so that we'll we need to find its new volume when the temperator, and we're going to call the temperateau 2, is now 25 celsius degrees.
00:43
We need to consider that a coefficient of linear expansion of the glass is 9 times 10 to the minus 6 celsius degrees to the minus 1.
00:52
So we know that the glass spans uniformly in all directions.
00:57
So the capacity spans in proportion to the glass.
01:00
So the volume coefficient of expansion is related to the linear coefficient.
01:07
So that will be that volume coefficient is three times the linear coefficient.
01:15
So with that set, the volume is going to be the volume b sub zero, and this times one plus three times the linear coefficient times the change in temperature.
01:31
And now we just need to simply substitute all of these values.
01:34
So we will have 50 ,000 milliliters...