00:01
All right, so let's say we have 0 .021 moles of a diatomic gas at a temperature of 24 degrees celsius.
00:11
And it's at an initial volume of, right of the 1 ,700 cubic centimeters.
00:20
And it contracts, it was compressed to a final volume of 550 cubic centimeters.
00:25
And throughout this process, the pressure times the volume squared, we're told, is constant.
00:33
And so we want to know how much heat is added to the gas here.
00:38
So first off, let's find the initial pressure.
00:40
This should be, you know, n times r times the initial temperature over the initial volume.
00:46
This should be 30 ,502 .5 pascals.
00:52
And so if we call this constant k, it'll be useful to know what k is.
00:57
So k is going to be p -i times v -i -squared.
01:02
And so this is like 0 .088, and we could say it's pascal's times, you know, a meter to the sixth power, because the volume is in a cubic meter.
01:16
So with that said, the work done, which we need to find, is going to be the negative integral of p dv...