A mixture of chlorine, hydrogen, and oxygen gas is in a container at STP. Which curve represents oxygen gas? (LO 10.8) (a) Curve (a) (b) Curve (b) (c) Curve (c)

Video transcript

Hi everyone. This problem reads The following diagram shows a mixture of argon helium and nitrogen gas at standard temperature and pressure identify the curve that depicts argon gas, Okay. And the answer choices are below curve, C curve, B or curve A. So how do we tackle this problem? The way that we're going to tackle this problem is writing down the equation for root mean square velocity of gas particles and that equation is the velocity of the root. Mean square is equal to the square root of three R. T over M. Okay, so we know we have three gasses, argon helium and nitrogen. So what we want to look at in terms of variables in this equation is molar mass and the velocity. Okay, so from here we see that they have an inverse relationship. Okay, so with this inverse relationship, what that means is if we're looking at molar mass and velocity, if the velocity is low, that means the molar mass is going to be high. They have an inverse relationship. So let's go ahead and write down the molar mass for each of our gasses. Okay, so we have argon gas, we have helium and we have nitrogen gas. Okay, so argun has a mass of 39.948 g per mole Helium has a molar mass of 4.003 g per mole. And nitrogen gas has a molar mass of 28.02 g per mole. Okay, so looking at the molar masses, argon is the heaviest. Okay, so if argon is the heaviest and we're looking at the relationship between molar mass and velocity. If argon is the heaviest, which means it has a high molar mass, that means that it's going to have the slowest speed. Alright? And it's gonna be the left most curve. If we're looking at speed, the slowest speed. Alright? So with that when we identify the curve that depicts argon gas, we're looking for the left most curve that has the slowest speed and that is curve A. So out of the answer choices. Given answer choice. C. Is going to be the correct answer. Argon gas is represented by a curve. A. That's it for this problem. I hope this was helpful.