Complete and balance the nuclear equations for the following fission or fusion reactions: (a) 21H + 21H¡32He + _

Video transcript

Welcome back everyone in this example we're given the following fission or fusion reaction and we need to complete and balance this nuclear equation below. So we have for our first to react ints a particle of trillium which reacts with the second particle of trillium and produces helium five and a second unknown new Clyde product. So we're going to fill in the blank here as our unknown new Clyde product which has the unknown chemical symbol X. The unknown atomic number A ah sorry the unknown mass number A. And our unknown atomic number Z. So we're going to need to solve for A. And Z. In an expression and we're going to ultimately understand what our identity of our chemical symbol is. X. By figuring out our atomic number Z. So going back to our equation, we want to solve for our expression of our unknown mass number A beginning with our knowns where we see on our reaction side that we have a known mass number of three from our treaty um particles reacting with each other. So that would be three plus three for both of those mass numbers of trillium set equal to our product side where we have our mass number of our helium atom being five added to our unknown mass number A which we are solving for. and so to simplify this, we would have six equal to five plus a meaning that we would simplify the mass number so that it's equal, we would say a are mass number is equal to one. And we would recognize that when we have a mass number equal to one, this corresponds to the particle being a neutron. So lower case N. Now solving for our unknown atomic number Z. We would begin with our knowns. On our reactant side we know we have the atomic number one for our treaty um atoms added to one another. Set equal to our product side. Where we have our atomic number of our helium atom being to which is added to our unknown atomic number Z. Which is what we're solving for. And so simplifying this, we would have to equal to two plus Z. Where we would say that our unknown atomic number Z is equal to the value of zero, which also corresponds to the atomic number of the particle which we recognize as a neutron. And so right now for our symbol of our product, new Clyde, we would have N for neutron. The mass number being one and the atomic number being zero. Where we can write out our full our full nuclear equation where we have our three or sorry, our trillium mass number of three with its atomic number one reacting with a second atom of trillium with mass number three and atomic number one producing as a product are mass number five for helium with its atomic number two And our new glide product being our neutron with the atomic number zero and mass number of one. So for our final answer we have identified our complete balanced nuclear equation here. So this is our final answer. I hope everything I explained was clear. If you have any questions, leave them down below, and I will see everyone in the next practice video.