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Problem 15 Easy Difficulty

When a star has exhausted its hydrogen fuel, it may fuse other nuclear fuels. At temperatures above $1.0 \times 10^{8} \mathrm{K}$ , helium fusion can occur. Write the equations for the following processes. (a) Two alpha particles fuse to produce a nucleus $A$ and a gamma ray. What is nucleus $A ?$ (b) Nucleus
$A$ absorbs an alpha particle to produce a nucleus $B$ and a gamma ray. What is nucleus $B ?(c)$ Find the total energy released in the reactions given in parts (a) and (b). Note: The mass of $_{4}^{8} \mathrm{Be}=8.005305 \mathrm{u} .$

Answer

a) $_{2}^{4} H e+_{2}^{4} H e \rightarrow_{4}^{8} B e+\gamma$
b) $_{4}^{8} B e+_{2}^{4} H e \rightarrow_{6}^{12} C+\gamma$
c) 7.27 $\mathrm{MeV}$

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Video Transcript

in this question. Yeah. Looking its hold star, actually refuse. Undergo in your confusion. And what a way that it's possible is the fusion off so far particles and off course alphabetical after diffusion. And you can't gonna go for the fusion. So we're gonna go get Why did he processes? So I give up. The first reaction is to alpha particles fusing together to form an unknown You could see along with a summary. So in order to identify what is the unknown? You kousky, we can use t conservation off our nuclear number. Spls, The proton number I saw a nuclear number is two number at the top and put on almost one test below. And the left inside the total brought a number. Must be the same as the right hand side. So they stack the conservation off the proton number Elevens I received. That's a total of four. So on the right, we must have for us. Well, since camera, it doesn't have any protons a myself for once, say, for the nuclear number, this must be in eat since left side and sigh cure for blast forages eat Looking up the periodic table for an element with four protons. We see that this is actually really right. So this is actually verily, um, it No, you're given that this really heat actually undergoes further absorption off a how far particle should be right and gives us another new crispy with a company. Now, what is thesis on? Don't be. We do the same process there is. We look at the total proto number in total nuclear numbers and you must be constant. So we have six proton number and shelf. So looking at the periodic table for an element with six protons, that must be coupled. So this is actually covered. Come on, shelf now to find what if the throat energy least we are going to combine this too Reactions into one every. Do that by cancelling out. You know, common common elements that common new collapsed actually appear on both sites off the equation. That is, if you add this up together, we get tree off the l four porticos. Plus it's four very young. Your first for very Liam with Gorbachev. If two primaries, we see that very them actually appears on both sex, so we can actually know this. They will cancel each other out, not to find. What s the energy does released from here? That is cute value you need to find What is the change in the mess? Multiplied it by C squared. So change your message is defined as the initial rectum. Smith's minus away the product's mess, right? And so the messes for the intro victims will be three times the mass off Alpha particle in every subject by D mess off carbon show. Bye bye. See Square, No case the mess Softy now for particle. Just he he loved you can't. Yes. 4.26 Your tree, you mess off Gorbachev is chop off you c Square. We're gonna use the form 91.4 night for MTV for you. Since we are doing we four point mess units putting it to co creator, we should get a very off 7.27 and maybe

National University of Singapore
Top Physics 103 Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

LB
Liev B.

Numerade Educator

Zachary M.

Hope College