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Ch.21 - Nuclear Chemistry

Chapter 21, Problem 29e

Complete and balance the following nuclear equations by supplying the missing particle: (e) 5926Fe → 0-1e + ?

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hey everyone, we're asked to identify the missing new Clyde then complete and balanced and nuclear equation as we can see right here, we have a beta particle and the reason why we know it's a beta particle is because it has no atomic mass and it is typically represented by an electron or the symbol beta. Now, since we have that beta particle, this means we are undergoing beta decay. Now in order to find our missing new Clyde, we first must determine our mass number and our atomic number. Starting off with our mass number. We can label this as a and we can go ahead and add that zero from our beta particle. And this will be equal to the mass number Of our thallium, which is 208. Now when we use our algebra, it turns out our mass number is also 208 for our missing new Clyde. Now to solve our atomic number To solve our atomic number, we're going to take the same steps and so we have our atomic number Z. And we're going to go ahead and add that -1 from our beta particle. This will be equal To the atomic number of Thallium, which is 81. Now we can go ahead and add that plus one onto both sides. And this will get us an atomic number of 82. And when we look at our periodic table, we find that the element with the atomic number 82 turns out to be led. So completing this into our nuclear equation, we have An atomic number of And a mass number of 208, and we can go ahead and add that beta particle. And again we have our thallium 208, and this is going to be our final balanced nuclear equation. Now, I hope that made sense and let us know if you have any questions.