00:01
All right, so let's say the temperature of an ideal gas is initially 500 kelvin, and then it's increased by 1 ,500 kelvin.
00:08
So this is three times the initial temperature.
00:11
We want to know what factor does the average kinetic energy of the gas change.
00:16
So the average kinetic energy, we'll just call this k, is going to be like basically three halves kt.
00:25
And so the new energy k prime as we can see is just going to be three halves k t prime and you can see since t prime is three times this this should just equal three times the original kinetic energy and we want to know what about the rms speed so the rms speed is going to be the square root of three kt over m and so the new speed is just going to really just be the square root of three times the original value due to that and then what factor does the momentum that one molecule undergoes any collision with a particular wall? all right, so let's...
01:07
And so the change in momentum is just going to be like m times v or 2mv, basically under a collision.
01:16
And so this is going to equal, once again, the square root of three times like, we'll call this v prime, the square root of three times the original change...