Rank these systems in order of decreasing entropy. rank from high...

Question

Rank these systems in order of decreasing entropy. rank from highest to lowest entropy. to rank items as equivalent, overlap them.

Accepted Answer

Hey everyone. So here it says arrange the following systems in order of decreasing highest to lowest entropy. Alright, so when we take a look at these options from 1 to 7, we should see that the majority of them are gasses except four, option five, which is liquid krypton. Remember in terms of the phases, gasses have the highest entropy and then after them we have liquids and then solids now because we have a liquid there, we know that's gonna have the lowest entropy. So we know that we're gonna end with five as an option. So we can take that out right now. Now the remaining ones are gasses and they're found at different temperatures. Different volumes then themselves have different complexities because they are composed of either a single element or a group of elements together. Now, if we take a look here for a majority of them, We have our temperature being at 273. Remember the higher temperature, the greater entropy. If we look at option seven though, it's at 130 Kelvin. So automatically we should say that one's at a lower temperature than the others. So we should expect it not to have as high of an entropy. So seven should come just before five in terms of entropy, Let's keep going, let's try to find differences here. Alright, so all of them have the same temperature. What else is different about them. Well, if we look we can see that their volumes are different. So volume could play a role. More space for more entropy, more chaos, more moving molecules. So here we have volumes of 60 and 30. All right. And basically this one's a little bit trickier because the molecules themselves um they can be one element or a cluster of elements together. So let's just write out what their formulas are. We have carbon tetrachloride, which is cf four gas, Krypton is mono atomic gas. Again, this is this is one whole krypton gas here, this is half a mole of krypton gas. This is one more event to gas. And then here we have one mole of krypton gas again. Alright, so if we look we have one whole mole of gas, one whole mole of gas, one home mole of gas and one whole mole of gas. Which one is the odd one out, option three. It's only half a mole of a gas. So it shouldn't have as much entropy because there's less gas molecules involved. Alright, let's keep going. We're trying to find differences here. Alright, so what do we have left? We have 124 and six remaining. So, if we look here, we can see that six is at 30 liters. We can see that four is at 30 liters. We can see that too is at 60 liters and one is at 60 liters. Alright, so we're gonna stay here at this point. Let's try to figure this out. We can say here the one that has the greatest entropy out of Everyone would have to be option one. Why? Because it has the most um complexity or micro states. It is composed of one carbon and four flooring. So that's five total elements. None of the other gasses have that many elements comprising it. So they're not as complex. They don't have as many micro states. So one should be the most entropic. Let's keep going. So we have 24 and six remaining. Alright, so let's see. We have one krypton, one Krypton 1 and two. All right. So N two is more complex has more micro states because it's two nitrogen comprising it. So it should have the second most entropy. So then That means that we have left are two and 6. Both of them are just one krypton gas. Both of them have the same temperature whereas the difference the difference is in their volume, greater volume means we have more space being taken up by gasses which increases their possibility of chaos or disorder because of that option too, should be next. And then here option six would be after that. So this would be the order from the most entropic with option one. All the way down to the least in tropic would option five. Alright, so this would be the answer to our question

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Rank these systems in order of decreasing entropy. rank from highest to lowest entropy. to rank items as equivalent, overlap them.

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