Decay of which nucleus will lead to the following products: (c) tantalum-179 by electron capture?

Video transcript

Welcome back everyone in this example. We need to identify the new glide that produces chromium 53 when it undergoes an electron capture. So what we're going to write out is our reaction so far, we know that an unknown new Clyde with an unknown atomic mass and an unknown atomic number. Z. Is going to be undergoing an electron capture. So reacting with an electron where we would recall that electron is a beta particle that has a atomic number of negative one and a mass number of zero. And according to the prompt, our product is going to be chromium 53. Where 53 we recognizes our isotopes name, which we recognize as the mass number here and on our periodic tables, we see that chromium corresponds to the atomic number being 24. So we need to identify this identity of this unknown new Clyde particle. And we would recognize that if we can figure out its mass number and specifically its atomic number, recall that our atomic number tells us based on the periodic table the identity of our chemical symbol X. So what we're going to do is solve for A and Z. Where A. We recall again is our mass number and Z again is our atomic number. So beginning with our solution for a we would plug in what we know right now. We don't know what a is on the reacting side, but we know that it's being added to our known mass number of our electron beta particle being zero, which is set equal to our product side being our mass number for chromium of 53. So simplifying for a we would have that a should equal 53. Now moving on to solving for our atomic number. We're going to plug in our knowns. We don't know our atomic number of our new glide on the reacting side, but we know that it's reacting with our atomic number of an electron being negative one. So what we would actually have here is this being set equal to our product side where we have the atomic number 24. And so simplifying for Z. We would just add one to both sides so that Z is equal to 25 as our atomic number. And so now that we have things filled in. We know that for our chemical symbol of our new glide, we should have Referring to our periodic table for Atomic # 25. We would see that that corresponds to the atom manganese which has atomic number 25. And in this case is the isotope of manganese with the atomic mass of 53. And so to give our Full radioactive bounced equation, we have our new glide being 53 manganese With the atomic number 25 undergoing an electron capture Where it produces chromium 53. Our final answer to complete this example is our identified new Clyde here, Manganese 53. I hope everything I reviewed was clear. If you have any questions, please leave them down below and I will see everyone in the next practice video.