00:01
So in this problem, we're asked to calculate the root -mean square velocity and kinetic energy of chlorine, chlorine, and bromine gas at 298 kelvin, and then rank them with respect to their rate of a fusion.
00:15
So the first thing we want to do, let's look at f2.
00:19
I've written down the formula for root -mean square velocity here.
00:23
And so all we really need to do is plug this in.
00:26
So 3 times 8 .314 times 298 divided by the molar mass fluorine gas be 19 .00 times 2.
00:45
And now because our 8 .314 is in joules, this has to be in kilograms.
00:51
So normally this is in grams to convert to kilograms, divide by, or sorry, multiply by 10 to the negative 3.
01:02
You can plug this in 3 times 8 .314 times 298, divided by 19, divided by 2 times 1 ,000, and then take the square root of that.
01:18
400 and 42 .3 meters per second.
01:29
Can do the same for chlorine.
01:38
The constants on top, it's the same.
01:46
Just changed the molar mass 35 .45.
02:01
You plug that in and you get 320 .3 .8 meters per second.
02:11
Finally, you got bromine.
02:36
You plug this in and you get 215 .7 meters per second.
02:44
Okay...