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Question 26Which of the following statements correct?the lattice energy 0f KCl is higher than the lattice energy of Mgothe lattice energy of LiF is higher than the ...

Question

Question 26Which of the following statements correct?the lattice energy 0f KCl is higher than the lattice energy of Mgothe lattice energy of LiF is higher than the lattice energy of LiBrthe lattice energy of NaCl is higher than the lattice energy of Mg3Nzthe lattice energy of Klis higher than the lattice energy Na2o

Question 26 Which of the following statements correct? the lattice energy 0f KCl is higher than the lattice energy of Mgo the lattice energy of LiF is higher than the lattice energy of LiBr the lattice energy of NaCl is higher than the lattice energy of Mg3Nz the lattice energy of Klis higher than the lattice energy Na2o



Answers

Specify which compound in each of the following pairs of ionic compounds should have the higher lattice energy: (a) KCl or $\mathrm{MgO},$ (b) LiF or LiBr, (c) $\mathrm{Mg}_{3} \mathrm{N}_{2}$ or $\mathrm{NaCl}$. Explain your choice.

Let's begin this problem by first identifying which of the circles are cat ions, in which of the circles are an ion. A general trend that we should know but ran ions tend to be larger cat ions. This is generally true if the ions are already similar in size. So of course, it's going to depend on which and I on and Cat Ion you're comparing. Let's compare the and ions and the cat ions in the eye on a compounds that were being asked about in the question. First, I on a compound that we were given this sodium chloride. So let's compare the size of sodium to the size of chloride. We know the chloride must have the larger atomic radius. This is because Corydon has one more energy level sodium. Recall that when ah cut ion is formed, electrons are being taken away. So when sodium loses its electron, it ends up having to energy levels instead of three. In contrast, Korean has three energy levels originally, and when it gains an electron, it still has three energy levels. The same logic can be applied when we compare my museum oxygen, in this case, magnesium and oxygen. Both have to energy levels. However, since magnesium has more protons done, it's going to have a stronger attraction between it's positively charged nucleus and its outer electrons. Because of the stronger attraction, the radius becomes smaller as the electrons are drawn inwards. This makes oxygen the larger. Now that we know that smaller ions tend to be cut ions, let's just label that on our pictures. So the smaller black dot is going to be a cat eye on in the A in the larger green dot is going to be our and I on and then be or larger red eye on is gonna be RN ion in our smaller blue eye on is gonna be our cat ion. So now that we know which is the cat ions and which is thean ions, we can compare the sizes of the cut islands in the and ions in the ionic compounds given to see which match the pictures. So let's start comparing the cat I owns. If we compare sodium to magnesium, then we know that sodium and magnesium as ions have the same number of electrons. This is similar to when we were comparing magnesium and oxygen again. If you have more protons, you're going tohave a smaller atomic radius due to a stronger attraction between the electrons and the nucleus. Since magnesium has one more proton than sodium that mics magnesium, slightly smaller than sodium. Next, let's compare the and ions. We're comparing Corinne to oxygen. This comparison is a bit easier to make. We know that quarry and has three energy levels, as we said before, and we know that oxygen has to. Therefore, Korean must be larger. So now we know that sodium and chlorine have larger atomic Grady. I then magnesium oxygen. When we look at the pictures, we see that in a both the cat ion and the an ion are larger than the cat ion and I on be therefore a must be sodium chloride and B must be magnesium oxide. Next, part of the question asks us about lattice energy. Let's recall how to calculate lattice energy. Lattice energy is equal to Carrie, which is a constant times. Q one, which is the charge of one eye on in the Ionic compound, comes Q two, which is the charge of the other island over the distance between the ions which is our looking at this equation, we can determine that the product of the charges, which is represented by Q. If it's larger, larger in magnitude, we'll have a larger let his energy. In addition, if we have a smaller Tom, I wanna Grady I. We have a larger lattice energy as well, so let's compare the relative lattice energies of sodium chloride in my museum. In sodium chloride, the queue is going to be equal to the charge of sodium times, the charge of chlorine just positive one negative one, respectively, So Q is going to be negative one. In addition, well, we don't have the exact value for our We know that sodium chloride has bigger ions, so they are is larger, at least in comparison to be, let's do the same thing for magnesium oxide, the Q will be equal to the charge of magnesium, plus two times the charge of oxygen just minus two. That gives us minus four. In addition, you know there are is gonna be smaller in comparison to a following the trends that we talked about earlier. We know that magnesium oxide has a larger Q and A smaller are so it must have the larger lettuce energy. So that is the answer for the final part of the question

Hello. So did I. Will be talking about how we can figure out the lattice energy, but in ionic compounds just by looking at them. So let the remember that the lattice energy is proportional to the charge of the first time to charge the second I on and the distance between them. So now let's take a look at our periodic table. So potassium is an alkali metal, so little is one electron and would form a plus. One charge. Chlorine is Ah, collagen has seven electrons, so it would want to gain one to become like are gone. I know what it take on and negative one charge. Now let's take a look at magnesium oxide, so magnesium has two electrons will lose them to form two plus charge, and oxygen has six electrons and would like to gain two to become like me on. So we get gain a to minus charge. So let's take a look at these two. So if you look, you'll notice that magnesium oxide has more, has more charge, has a more positive charge in a more negative charge. And if you look at our equation for lattice energy, you'll notice that means that the lattice energy of this one magnesium oxide will be greater if you think about it like think about it. If you have two magnets and they're stronger magnets, you'll have a harder time pulling them apart. The lattice energy. That strength of the bond is greater. Now let's take a look at lithium fluoride. So lithium is an alkali metal as one electron, so it'll lose it to form plus one charge. Flooring is a halogen. It has seven electrons. It would gain one to become like neon. So it's has a negative one charge. And if you look here, we have Lizzie, um, and bro Mean so bro mean is also, uh is also a halogen. If we want to become like kryptonite will gain one electron. But what's this? Both of these to have the same A magnitude of charges. So how can we tell which one would have a greater lattice energy? Well, if you look here, you'll notice flooring has less total electrons and less protons and neutrons. Thunder minutes. Flooring is a lot smaller, and if you notice in our equation, appear this the distance between the Adams is part of our equation. The closer they are, the stronger they are. You feel the pull more when you bring the magnets closer together than when they're farther apart. So, Lizzie, um and bro mean can't get as close together because bro mean is just bigger. So lithium fluoride would be more attracted, and it would have, ah, higher lattice energy. Now let's take a look at magnesium nitrogen. So magnesium isn't Allah kind earth metal. So has two electrons elect to losing to become two Plus. Now let's take a look in nitrogen. Nitrogen has five electrons, so if my Children would like to gain three to become like neon, so would form a negative three charge. But wait. These aren't balanced because the overall this has a negative one charge because nitrogen is negative. Three. And magnesium was positive, too. So we have to make this balanced, so we'll have to nitrogen ins and three magnesium size in total. Now let's take a look at sodium chloride, sodium alkaline metal, so have a lose one electron become a positive one. Chlorine. Seven Electrons will likes to gain one to become like are gone and get a one, and so you'll notice that magnesium and nitrogen have a greater magnitude of charge, so magnesium and with nitrogen would have ah, higher lattice energy.

Okay so lattice energy gets more eggs. A thermic as um the ionic charges increase and the distance between the ions increase. So if you're looking at a your charges here are plus one and minus one. So that really means we're going to be comparing the sizes of sodium and potassium. If you take a look at where they are on the periodic table, um potassium is going to be a larger atom than sodium. So therefore you want to pick the N. A. C. L. Then for B. You've got the same charges plus one minus one plus one minus one. So that really means that we're actually comparing the fluoride and chloride. If you look at their location on the periodic table, the chlorine is going to be larger than the floor. Een therefore the L. I. F. Would be the one that you would choose. And then in see you have a plus to an a -1 and then a plus to an a minus two here. So you've got larger charges here in M. G. O. Therefore I would pick the M. G. O. Than for D. You have a plus two minus one plus three in a minus one. So I would automatically pick F. E. O. H. Three. Then an E. You have plus one minus one plus one minus two. So I would automatically pick the N. A. Two. Oh then for F. You have plus two minus two plus two minus two. Then if you look at their proximity on the periodic table you've got magnesium and oxygen and then bury em is a lot further down, The magnesium and sulfur is further down than oxygen, so those are larger atoms, so I would pick the n g o.

To answer this question, we need to know two things about the force of attraction or the lattice energy between two ions. The more eggs, a thermic lattice energy will occur with an increased charge between the ions and a decreased size of the ions. So the smaller the ions, the more exotic thermic the latticed energy, the more positively and negatively charged the ions. The more exotic thermic the lattice energy. So sodium chloride is going to have more eggs. A thermic lattice energy because sodium is smaller than potassium lithium fluoride is going to have more eggs are thermic lattice energy because fluoride is smaller than chloride, magnesium oxide is going to have more Xel thermic lattice energy because magnesium is two plus than oxygen is two minus, wherein magnesium hydroxide magnesium is two plus. But the hydroxide czar only one minus less of a charge. Less exotic thermic lattice energy. We have iron three hydroxide versus iron. To hydroxide. The iron three hydroxide will have more exotic thermic lattice energy because of its three plus charge compared to the two plus charge. And if we have sodium oxide versus sodium chloride, a sodium oxide is going to have more eggs are thermic lattice energy because of the two minus charge on oxygen versus the one minus on chloride. And if we have magnesium oxide versus barium sulfide, they both have two plus and two minus, but the magnesium and the oxide are smaller than the berry. Um and the sulfide. So magnesium oxide will have the more exotic thermic lattice energy.


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