Hydrogen has two naturally occurring isotopes, 1H and 2H. Chlorine also has two naturally occurring isotopes, 35Cl and 37Cl. Thus, hydrogen chloride gas consists of four distinct types of molecules: 1H35Cl, 1H37Cl, 2H35Cl, and 2H37Cl. Place these four molecules in order of increasing rate of effusion.

Video transcript

Hi everyone for this problem, we're told that hydrogen and bruning both have two stable isotopes. This means that the acid hydra bronek acid has four different combinations of molecules. We need to list the molecules from the lowest to highest rate of effusion. Effusion is when gas goes through a small opening. And so Graham's law tells us that the rate of effusion of a gas is inversely proportional to its molar mass. So that means the higher the molar mass, that's going to equal the lower the rate. And this is the rate of effusion. So what we can do here is calculate the molar mass for each of our isotopes. And that will allow us to rate them from highest to lowest. And so we can go ahead and start with the first isotope. And so to get this motor mass, it's going to be one plus 79. So that gives us 80 her second isotope Gives us one plus Gives us a molar mass of 82. Our third isotope gives us a molar mass of 81. and our 4th isotope gives us a molar mass of 83. So now when we take a look at this, we see that this one has the highest molar mass, which means it has the lowest rate of effusion and the first one has the lowest molar mass, which means it has our highest rate of effusion. So going from there, we can now list in order and so we're going to list from lowest to highest rate of effusion. So our lowest rate of effusion is going to be the last one, and then that's followed by this one, and then we have, and then our highest rate of effusion is going to be okay. So this is going to be the list from lowest to highest, and this is our final answer. I hope this was helpful.