Write a nuclear equation for the indicated decay of each nuclide. e. Cr-51 (electron capture)

Video transcript

Hello everyone. So in this video we're going to provide a nuclear equation if the C. 0 57 decays by electron capture. So electric capture occurs when a nucleus absorbed an electron to create a new element. So for an electron it has no atomic mass and is represented by the letter lowercase E. So we have this E. Zero and negative one. When this top number represents is going to be the mass number. And over at the bottom that's going to be our atomic number. Okay. And for the elements we have very similar structure. So we have X. Such a say, and then we have A and C. So this X. That's going to be our element symbol. And then on top would be the same as over to the right with the electron will be mass number and then on the bottom again it will be the same. So atomic No. Alright, so let's go ahead and provide the nuclear equation. If CO 57 decays by electron capture. So let's first kind of sort out the information that we're given just by looking at this here. So we're given the mass number then is equal to And then our atomic number by looking at our pair table is 27. So using our representation like this, we can go ahead and write out C O 27 on the bottom and 57 on the top. So how direction would look Is we have that CO27 plus that electron to zero negative one E. To make some sort of new element. Alright, so we know that the mass number of reactors were equal to the mass number of products. That just means the mass number of our ceo here plus the atomic number electron will equal to the mass number nucleus. So in math ways that just means just below squiggly. That just means we have the mass number of the C. O. Which is 57 Plus the atomic number of electron which is zero but equal to eight Because that's what our mass number of the nucleus is. So then I would get our eight. You're going to 57. Okay then we go ahead and software our Z value. So the atomic number of reacting equal to the atomic number of products. So that just means the atomic number of Ceo. But that is then by looking at over here on the top, asterix, the atomic number of C. O. Is 27. We're gonna go ahead and add that with the atomic number of the electron which is the -1. And this should all equal to the atomic number of nucleus, which we don't know is Z. So putting that into my calculator, I'll get 26. Alright, so now that we know this atomic number of 26. Looking at the period table, the one that comes up as 26 is going to be iron. Okay, the element symbol is F. E. Alright. So now finally running out our balanced nuclear equation. So we have our 57 27 C. O. Plus our zero negative one E. Is gonna go ahead and create our iron. So F. E. 57 26 that is going to be my final answer for this problem. Thank you so much for watching.