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Ch.12 - Solids and Solid-State Materials

Chapter 12, Problem 51

Cesium chloride crystallizes in a cubic unit cell with Cl- ions at the corners and a Cs+ ion in the center. Count the numbers of + and - charges, and show that the unit cell is electrically neutral.

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Hello in this problem, we're told the potassium fluoride crystallizes in a cubic unit cell With a single potassium iron and eight Floridians at the corners. Here we have a cubic unit cell. We're told that we have Florida line at each of the eight corners of the cubic unit cell and we're told that we have a single potassium mine at the center of our cubic unit cell. Each of these corner ions is shared with eight other neighboring unit cells. So that means we have 1/8 of an ion at each corner. We have eight corners times 1/8 of the ion. So we have one lord iron contained within this unit cell. We also have one potassium mine which is fully enclosed within this unit cell. So we have a single florida in and a single potassium mine. So let's go through our possible answers. So we have a florida testing fluoride unit cell is electrically positive because it has one negative charge and four positive charges. So this is incorrect. We only have a single positive charge. Next answer, we have potassium florida unit cells electrically negative because it has four negative charges and one positive charge. This is again correct because we have one negative charge. The next answer we have potassium fluoride, it sells electrically positive because as one negative charge and two positive charges. Again, we only have a single potassium mine. So this is incorrect. The last answer, potassium fluoride unit cell is electrically neutral because it has one negative charge and one positive charge. And this is correct. That's what we found. We have one negative charge Floridian and one positive charge potassium mine. This answer also makes sense given the ratio of cat deigns to Annan's is 1-1 which is required for the formula of potassium florid. I hope this was helpful. Thanks for watching Bye.
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