Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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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…
Another series of nuclear reactions that can produce energy in the interior of stars is the cycle described below. This cycle is most efficient when the central temperature in a star is above 1.6 × 107 K. Because the temperature at the center of the Sun is only 1.5 × 107 K, the following cycle produces less than 10% of the Sun’s energy. (a) A high-energy proton is absorbed by 12 C. Another nucleus, A , is produced in the reaction, along with a gamma ray. Identify nucleus A decays through positron emission to form nucleus B. (c) Nucleus B absorbs a proton to produce nucleus C and a gamma ray. Identify 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. What is nucleus F ? Note: If nucleus F is not 12C—that is, the nucleus you started with—you have made an error and should review the sequence…
Chapter 43 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 43.1 - Prob. 43.1QQCh. 43.5 - Prob. 43.3QQCh. 43.5 - Which of the following is the correct daughter...Ch. 43.8 - When a nucleus undergoes fission, the two daughter...Ch. 43.8 - Prob. 43.6QQCh. 43.10 - Prob. 43.7QQCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4P
Ch. 43 - Prob. 5PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 13PCh. 43 - Prob. 15PCh. 43 - Prob. 17PCh. 43 - Prob. 18PCh. 43 - Prob. 19PCh. 43 - Prob. 20PCh. 43 - Prob. 21PCh. 43 - Prob. 22PCh. 43 - Prob. 23PCh. 43 - Prob. 24PCh. 43 - Enter the correct nuclide symbol in each open tan...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 35PCh. 43 - Prob. 37PCh. 43 - Prob. 39PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 44PCh. 43 - Prob. 45APCh. 43 - Prob. 46APCh. 43 - Prob. 47APCh. 43 - Prob. 48APCh. 43 - Prob. 49APCh. 43 - Prob. 50APCh. 43 - Prob. 51APCh. 43 - Prob. 52APCh. 43 - As part of his discovery of the neutron in 1932,...Ch. 43 - Prob. 55APCh. 43 - Prob. 56APCh. 43 - Prob. 58APCh. 43 - Prob. 59APCh. 43 - Prob. 60APCh. 43 - Prob. 62APCh. 43 - Prob. 63APCh. 43 - Prob. 64APCh. 43 - Prob. 65APCh. 43 - Prob. 66CP
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- a) Calculate the energy in joules released by the fusion of a 1.75 -kg mixture of deuterium and tritium, which produces helium. There are equal numbers of deuterium and tritium nuclei in the mixture. b) If this process takes place continuously over a period of a year, what is the average power output in units of megawatts?arrow_forwardThe fission process in a reactor is represented by the equation below: U235 + n1 = La148+ Br85 + 3n1. If the elements in the above equation have the following atomic mass units (a.m.u ): U235 =235.124, n1 =1.009 La148= 147.96 and Br85 = 84.938. Given that mass of 1 a.m.u =1.67 x 10 -27 kg and 1.619 x 10-19 J = eV. 235g of Uranium contains 6.03 x 1023 atoms. a.Calculate the mass of Uranium atom that will be converted into heat energy by the fission process. b. Calculate the total amount of energy in MeV released during the fission process c.Calculate the amount of energy in J that can be obtained from one kilogramme of Uranium during a fission processarrow_forwardAnother series of nuclear reactions that can produce energy in the interior of stars is the cycle described below. This cycle is most efficient when the central temperature in a star is above 1.6 x107 K. Because the temperature at the center of the Sun is only 1.5 x 107 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. What is nucleus F? Note: If nucleus F is not 12C— that is, the nucleus you started with —…arrow_forward
- Consider two reactions: (a) Compute the Q values for these reactions. Identify whether each reaction is exothermic or endothermic. (b) Which reaction results in more released energy? Why? (c) Assuming the difference is primarily due to the work done by the electric force, calculate the distance between the two protons in helium - 3.arrow_forwardWhat is the Q-value for the reaction where the products are 0.005 0 u less than the reactants? (1 u = 931.5 MeV/c2)arrow_forwardIn order to have the fission reaction to start a nuclear reactor, you need to be able to produce as many neutrons needed in order to maintain the reaction stable during the time. If you have too few fissions, then there will be a lack of neutrons and this will turn off the reaction chain. If you have too many fissions, then there will be an excess of neutrons, and you will end up with a Chernobyl-like issue. This is called the criticality of the reactor. Hence, you need to compute the exact amount of fuel to put inside your reactor, in order to maintain the reaction chain. Such a calculus of criticality is very complex, and out of reach for this class. It is, however, possible to estimate it, with the Oklo reactor. The Oklo reactor is located near Franceville, in Gabon. It is the only natural nuclear reactor known so far. At some point in history, what would become the mining pit of Oklo was a place containing a lot of uranium and water, which acted as a moderator, hence allowing the…arrow_forward
- What size disinfection chamber will be needed to achieve a 3 log disinfection of viruses, using chloramine, at 20°C, and achieve a residual of 0.23mg/L after 5 days, if the decay constant is 1016/day? The plant processes 1m hr a. 34.1m Q3 b. 3.3m3 c. 38.7m3 d. 4.3m3 Calculation / Reasoning:arrow_forwardOn absorption of a single neutron, plutonium Pu-239 can undergo fission into xenon Xe-134 plus zirconium Zr-103 plus three neutrons. The masses of these nuclei are, mpu-239 = 239.052 amu, mxe-134 = 133.905 amu, and mzr-103 = 102.927 amu. Calculate the energy given off in this nuclear reaction. Back Alt+Left arrowarrow_forwardCobalt-60 and iodine-131 are used in treatments for some types of cancer. Cobalt-60 decays with a half-life of 5.27 years, emitting beta particles with a maximum energy of 0.32 MeV. Iodine-131 decays with a half-life of8.04 days, emitting beta particles with a maximumenergy of 0.60 MeV.(a) Suppose a fixed small number of moles of each of these isotopes were to be ingested and remain in the body indefinitely. What is the ratio of the number of millisieverts of total lifetime radiation exposure that would be caused by the two radioisotopes?(b) Now suppose that the contact with each of these isotopes is for a fixed short period, such as 1 hour. What is the ratio of millisieverts of radiation exposure for the two in this case?arrow_forward
- One of the fusion reactions that goes on in massive stars is silicon burning, 28Si + 28Si→56Ni + γ. This reaction is how fusion reactions eventually reach the most stable iron/nickel region. It is also a precursor to the end of a star’s life and may lead to a supernova, if the star’s mass is suffi cient. (a) Calculate the ignition temperature required for this reaction. (b) How much energy is expended in this reaction?arrow_forwardPlease help. This problem involves finding the amount of deuterium needed to generate a certain amount of energy. Thank you.arrow_forwardA normal family living in a villa has an approximate energy consumption of 20 MWh per year. Now suppose that the family is supplied by energy from a fusion power plants that utilize the energy released from the nuclear reaction We also assume that the power plant has an efficiency of 25%. How many grams of deuterium are needed each year to produce more energy this family?arrow_forward
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