00:01
Hi, so to solve for this, we have two questions here.
00:06
First one, we are to solve for the final volume.
00:10
So let's write first the given information.
00:12
We have the initial temperature t1.
00:14
So we're dealing with a gas here and we will use a gas law equation.
00:19
That means we have to convert our temperature to kelvin.
00:23
So always remember that when you're using any gas law equation, always convert your temperature to kelvin.
00:30
Now the initial temperature is 9 degrees celsius.
00:33
So how do we convert degrees celsius to kelvin? we have to add 273 .15 and this will be 282 .15 kelvin.
00:43
Then corresponding volume is 1290 meters.
00:48
And final temperature is 79 degrees celsius.
00:52
Again, add 273 .15.
00:55
This will give us 352 .15 kelvin.
01:00
And v2 is our unknown here.
01:02
So we will use charles's law gas equation v1 over t1 is equivalent to v2 over t2.
01:11
Rearranging this to solve for v2, we'll have v1, t2 over t1.
01:17
And then v1, we'll plug in the information that we have, 1290 meters.
01:22
Final temperature is 352 .15 kelvin over the initial temperature 282 .15 kelvin.
01:32
So that means we have to cancel the unit for temperature and the remaining unit, as you can see, is meters...