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Ch.21 - Radioactivity & Nuclear Chemistry

Chapter 21, Problem 32e

Write a nuclear equation for the indicated decay of each nuclide. e. Pd-103 (electron capture)

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Hello everyone in this problem, we're trying to find a nuclear equation. If this GA- 67 decays by electron capture. So for an electron capture, it occurs when a nucleus absorbs an electron to create a new element. An electron has no atomic mass. So it's represented by this letter E. Is a very short hand way of writing electron. So usually there's two numbers on the left. We have one on top and one on bottom. But this top number represents is mass number and the bottom number right here represents atomic number. Okay, the element can also be represented as something very similar to what we had just written. So we have this X let's just say and then A and C. Okay. So what this X is is going to be the element symbol over on the top here. Again, we have the mass number and on the bottom we have the atomic number. All right. So for the information that we are given were given that the mass number Of this right here is 67. The atomic number. By looking at the pr table is 31. So go ahead and follow this right here. Then you'll have the element symbol as G. Okay. On the bottom we want the atomic number. So that's 31 and on top is 67. So then our reaction we have, Well, we had just right over here and then we have then this right here and that's gonna go ahead and make some sort of new element. So our mass number reactors were equal to the mass number of products. The mass number that's gonna write that actually, the mass number of C. O. Plus the atomic number electron is equal to the mass number nucleus. In that case that's going to be 67 plus zero equals eight. So a is equal to 67. Again, the atomic number of reactors will equal to the atomic number of products similar to buy just said earlier. Just go down. We're just putting asterisks here and here. Okay, so atomic number C. O. Let's see, atomic number electron equal to atomic number nucleus. That just means we have 31 plus negative one equals to Z. Z. Will equal to 30. The atomic number of this, which is 30. My parent table is going to be zinc. So sick. Okay, so finally composing our equation then it's going to be 67 31 for our G8 Plus that one electron To go ahead and make our new element ZN 67 30. Alright, and this is going to be my final answer for this question. Thank you all so much for watching