Two 112-L tanks are filled with gas at 330 K. One contains 5.00 mol of Kr, and the other contains 5.00 mol of O₂. Considering the assumptions of kinetic–molecular theory, rank the gases from low to high for each of the following properties.

(c) Average speed

Video transcript

Welcome back everyone. Two containers with a volume of 150 L are filled with a gas at 350. Kelvin, one container holds five moles of organ while another holds five moles of carbon monoxide based on kinetic molecular theory, which gas has a faster average speed. Let's recall that the average speed, the average can be calculated as square root of eight multiplied by the universal gas constant multiplied by the absolute temperature divided by pi multiplied by the molar mass. M. What we can see from here is that since we have the same temperature for each condition, the only variable that matters is the molar mass that the average speed is inversely proportional to the square root of the molar mass, meaning the lower the molar mass, the higher the average speed. So we essentially want to compare the molar mass of organ which is 39.95 to the molar mass of carbon monoxide. The molar mass of carbon monoxide would be 28.01. So which one is lower? Well, 28.01 is lower than 39.95. And based on the fact that the molecules of co are lighter than the molecules of Argan. This would produce a higher average speed at the same temperature. And therefore our answer is co or carbon monoxide, carbon monoxide would have a faster average speed than organ because it is lighter. Thank you for watching.