Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 43.10, Problem 43.7QQ
To determine

Which of the following values for A is suitable for the fission reaction.

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In the core of a star, hydrogen nuclei combine in fusion reactions. Once the hydrogen has been exhausted, fusion of helium nuclei can occur. If the star is sufficiently massive, fusion of heavier and heavier nuclei can occur once the helium is used up. Consider a fusion reaction involving two nuclei with the same value of A. For this reaction to be exothermic, which of the following values of A are impossible? (a) 12 (b) 20 (c) 28 (d) 64
Another series of nuclear reactions that can produce energy in the interior of stars is the carbon cycle first proposed by Hans Bethe in 1939, leading to his Nobel Prize in Physics in 1967. This cycle is most efficient when the central temperature in a star is above 1.6 x 10^7 K. Because the temperature at the center of the Sun is only 1.5 x 10^7 K, the following cycle produces less than 10% of the Sun’s energy. (a) A high-energy proton is absorbed by 12C. Another nucleus, A, is produced in the reaction, along with a gamma ray. Identify nucleus A. (b) Nucleus A decays through positron emission to form nucleus B. Identify nucleus B. (c) Nucleus B absorbs a proton to produce nucleus C and a gamma ray. Identify nucleus C. (d) Nucleus C absorbs a proton to produce nucleus D and a gamma ray. Identify nucleus D. (e) Nucleus D decays through positron emission to produce nucleus E. Identify nucleus E. (f) Nucleus E absorbs a proton to produce nucleus F plus an alpha particle. Identify nucleus…
You are having a family holiday dinner with your extended family: grandparents, aunts, uncles, cousins, etc. The conversation turns to your studies in physics, and you tell everyone about your studies about fusion reactions in the Sun. One of your nephews says, “Oh, yeah? I think the Sun is just a big ball of gasoline burning away. How can you prove that that isn’t true?” (a) Based on the fact that gasoline delivers about 1.3 x 10^8 J of energy for each gallon burned, perform a calculation that will show your nephew how long the Sun would last if it were made of gasoline. (b) Perform a calculation to show your nephew that nuclear fusion of all the hydrogen in the Sun could last a lot longer.
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