00:02
To solve this exercise, we're going to use a geode gas equation.
00:04
So for an ideal gas, we have that its pressure, times its volume, it's going to be equal to the number of moles inside the gas, times the universal gas constant, times the gas temperature.
00:19
This exercise, once it used this expression for the ideal gas, to prove that for a mixture of several, ideal gases, the total pressure of the mixture is going to be the pressure of each component, the so -called dalton's law, on which p1, p2, and p3 are the pressures for each component of the ideal gas mixture.
01:01
So if we have a mixture of ideal gases, so let's draw here, suppose we have a vessel with a mixture of several ideal gases.
01:15
So we have this red ideal gas, then we're going to have the green ideal gas, and the blue ideal gas, all of them occupying the same volume.
01:31
V, and all of them are going to be at the same temperature, t, okay? because this is a mixture of gases and because we are treating with a mixture, then all components of the mixed gas are going to have the same temperature.
01:54
Okay? now, we have that for the first component, we're going to have n1 moles of the green gas.
02:05
Then we're going to have the number of moles for the, red gas and the number of moles for the blue gas.
02:18
So that the total number of moles for the mixture is going to be n1 plus and 2 plus and 3.
02:29
And if we have other types of gases in here, other types of ideal gases, we're going to continue summing this up...