00:01
Hi.
00:03
So we have the question here.
00:04
What is the root mean square speed? brms for the gas that if uses the fastest and the temperature is 20 degrees celsius, but we're not given with the identity of the gas here.
00:16
So i'm just going to assume that this will be a gas that has a lower molar mass because as the molar mass increases, then the root main square speed will decrease.
00:30
So that means, heavier molecules will move slower than lighter molecules.
00:36
Remember this formula, vrms, is equivalent to, square root of 3 multiplied by the gas constant temperature over the molar mass of the gas.
00:50
So assuming that we have a light or a gas with a lower molar mass, let's say that the gas is hydrogen gas and the molar mass of h2 is 2.
01:02
0 .02 grams per mole.
01:05
Now the value of r that we will use in this equation is in terms of joles per mole kelvin.
01:12
So we need to convert grams to kilograms and we know that a thousand grams is equivalent to one kilogram two point zero two divided by a thousand.
01:27
This is 2 .02 times 10 to the negative 3 and this is in kilograms per mole.
01:33
So plug in the values here 8 .314, chowels per mole kelvin.
01:43
Remember that jules is kilogram meter squared per second squared.
01:48
That's joles per small kelvin.
01:53
The temperature is negative 20...