College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 30, Problem 40P
To determine
Show that the net result of proton-proton fusion chain inside sun can be summarised as
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Part A
The proton-proton chain described in Section 43.8,
known as the p-p I chain, accounts for 83,3% of the
helium synthesis in the sun. This process uses six
protons to produce one alpha particle, two protons,
two neutrinos, and a least six gamma-ray photons.
We can determine the energies of each of the
products as follows.
The first reaction, 2H →? H+ B+ +ve, is followed immediately by the annihilation of the
positron by an electron into two photons, each with energy equal to the rest energy of an
electron. What is the remaining energy Ej carried by the deuteron and the neutrino?
Express your answer in megaelectron volts.
V ΑΣφ
E1 =
MeV
Figure 43.16
1 Two protons combine to
form a deuteron (H) ...
3 A third proton combines with the
deuteron, forming a helium nucleus
(He) and emitting a gamma-ray photon.
4 Two He nuclei fusc, forming a
4He nucleus and releasing two
protons.
"He
3He
... as well as a positron (B*)
and an electron neutrino (v).
The proton-proton chain.
The net effect…
The uranium isotope 235U can fission—break into two smaller-masscomponents and free neutrons—if it is struck by a free neutron. A typical reaction is 1/0n + 235/92U → 141/56Ba + 92/36Kr + 3/1/0nAs you can see, the subscripts (the number of protons) and the superscripts (the number of nucleons) “balance” before and after the fission event; there is no change in the number of protons or neutrons. Significant energy is released in this reaction. If a fission event happens in a large chunk of 235U, the neutrons released may induce the fission of other 235U atoms, resulting in a chain reaction. This is how a nuclear reactor works. The number of neutrons required to create a stable nucleus increases with atomic number. When the heavy 235U nucleus fissions, the lighter reaction products are thus neutron rich and are likely unstable. Many of the short-lived radioactive nuclei used in medicine are produced in fission reactions in nuclear reactors.
235U is radioactive,…
The uranium isotope 235U can fission—break into two smaller-masscomponents and free neutrons—if it is struck by a free neutron. A typical reaction is 1/0n + 235/92U → 141/56Ba + 92/36Kr + 3/1/0nAs you can see, the subscripts (the number of protons) and the superscripts (the number of nucleons) “balance” before and after the fission event; there is no change in the number of protons or neutrons. Significant energy is released in this reaction. If a fission event happens in a large chunk of 235U, the neutrons released may induce the fission of other 235U atoms, resulting in a chain reaction. This is how a nuclear reactor works. The number of neutrons required to create a stable nucleus increases with atomic number. When the heavy 235U nucleus fissions, the lighter reaction products are thus neutron rich and are likely unstable. Many of the short-lived radioactive nuclei used in medicine are produced in fission reactions in nuclear reactors.
If a 238/92U nucleus…
Chapter 30 Solutions
College Physics (10th Edition)
Ch. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - True or false? During one half-life, the mass of a...Ch. 30 - Changing the temperature of atoms affects their...Ch. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Prob. 7CQCh. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQ
Ch. 30 - Prob. 11CQCh. 30 - Prob. 12CQCh. 30 - Prob. 3MCPCh. 30 - Prob. 4MCPCh. 30 - Prob. 5MCPCh. 30 - Prob. 6MCPCh. 30 - Prob. 7MCPCh. 30 - Prob. 8MCPCh. 30 - Prob. 9MCPCh. 30 - Prob. 10MCPCh. 30 - Prob. 11MCPCh. 30 - Prob. 12MCPCh. 30 - Prob. 1PCh. 30 - Prob. 2PCh. 30 - Prob. 3PCh. 30 - Prob. 4PCh. 30 - Prob. 5PCh. 30 - Prob. 6PCh. 30 - Prob. 7PCh. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - Prob. 11PCh. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - Prob. 14PCh. 30 - Calcium-47 is a emitter with a half-life of 4.5...Ch. 30 - Prob. 16PCh. 30 - Prob. 17PCh. 30 - Prob. 18PCh. 30 - Prob. 19PCh. 30 - Prob. 20PCh. 30 - Prob. 21PCh. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Prob. 24PCh. 30 - Prob. 25PCh. 30 - Prob. 26PCh. 30 - Prob. 27PCh. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - Prob. 32PCh. 30 - Prob. 33PCh. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - Prob. 41PCh. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Prob. 47PCh. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - The results of activity measurements on a...Ch. 30 - Prob. 51GPCh. 30 - Prob. 52GPCh. 30 - Prob. 53GPCh. 30 - Prob. 54GPCh. 30 - Prob. 55GPCh. 30 - Prob. 56GPCh. 30 - Prob. 57GPCh. 30 - Prob. 58GPCh. 30 - Prob. 59GPCh. 30 - The atomic mass of 2056Co is 55.934939 u, and the...Ch. 30 - Prob. 61GPCh. 30 - Prob. 62GPCh. 30 - Prob. 63GPCh. 30 - Prob. 64PPCh. 30 - Prob. 65PPCh. 30 - Prob. 66PPCh. 30 - Prob. 67PPCh. 30 - Prob. 68PPCh. 30 - Prob. 69PPCh. 30 - Prob. 70PPCh. 30 - Prob. 71PP
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- (a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forward(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward
- (a) Calculate the energy released in the neutroninduced fission reaction n+235U92Kr+142Ba+2n, given m(92Kr)=91.926269 and m(142Ba)=141.916361u. (b) Confirm that the total number at nucleons and total charge are conserved in this reaction.arrow_forward(a) How much energy would be released if the proton did decay 1uria the conjectured reaction (b) Given that the decays to two (s and that the will find an electron to annihilate, what total energy is ultimately produced in proton decay? (c) Why is this energy greater than the proton's total mass (converted to energy)?arrow_forwardThe power output of the Sun is 41026W. (a) If 90% of this is supplied by the protonproton cycle, how many protons are consumed per second? (b) How many neutrinos per second should there be per square meter at the Earth from this process? This huge number is indicative of how rarely a neutrino interacts, since large detectors observe very few per day.arrow_forward
- The uranium isotope 235U can fission—break into two smaller-masscomponents and free neutrons—if it is struck by a free neutron. A typical reaction is 1/0n + 235/92U → 141/56Ba + 92/36Kr + 3/1/0nAs you can see, the subscripts (the number of protons) and the superscripts (the number of nucleons) “balance” before and after the fission event; there is no change in the number of protons or neutrons. Significant energy is released in this reaction. If a fission event happens in a large chunk of 235U, the neutrons released may induce the fission of other 235U atoms, resulting in a chain reaction. This is how a nuclear reactor works. The number of neutrons required to create a stable nucleus increases with atomic number. When the heavy 235U nucleus fissions, the lighter reaction products are thus neutron rich and are likely unstable. Many of the short-lived radioactive nuclei used in medicine are produced in fission reactions in nuclear reactors. Because the decay…arrow_forwardThe uranium isotope 235U can fission—break into two smaller-masscomponents and free neutrons—if it is struck by a free neutron. A typical reaction is 1/0n + 235/92U → 141/56Ba + 92/36Kr + 3/1/0nAs you can see, the subscripts (the number of protons) and the superscripts (the number of nucleons) “balance” before and after the fission event; there is no change in the number of protons or neutrons. Significant energy is released in this reaction. If a fission event happens in a large chunk of 235U, the neutrons released may induce the fission of other 235U atoms, resulting in a chain reaction. This is how a nuclear reactor works. The number of neutrons required to create a stable nucleus increases with atomic number. When the heavy 235U nucleus fissions, the lighter reaction products are thus neutron rich and are likely unstable. Many of the short-lived radioactive nuclei used in medicine are produced in fission reactions in nuclear reactors.arrow_forwardFind A and identify X in the following nuclear reactions: (a) ¹H + Be → AX + n; (b)¹²C + ¹H → AX; (c) 15N + ¹H→ 4He + AX. (a) A = (b) A = (c) A = HI i Hi X: X: X: >arrow_forward
- The sun radiates energy at the rate of 3.85 × 1026 W. Suppose the net reaction 4p + 2e− → α + 2υe + 6γ accounts for all the energy released. Calculate the number of protons fused per second. Note: Recall that an alpha particle is a helium-4 nucleus.arrow_forwardCalculate the Q value and threshold energy of the reaction 9F¹9(n,p)80¹⁹ ? mn=1.008665u, mp=1.007825u, m(80¹)= 19.003577u, m(9F¹9)=18.998403u, c²-931.5 MeV/uarrow_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
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