Fundamentals Of Physics - Volume 1 Only
11th Edition
ISBN: 9781119306856
Author: Halliday
Publisher: WILEY
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Chapter 43, Problem 43P
To determine
To calculate:
(a) Q for the fusion reaction 5 2H + 3He 4He + 1H +2n.
(b) the rating of the fusion part of the if it contains 500 kg of deuterium, 30.0% of which undergoes fusion.
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Verify that, as reported in Table 43-1, fissioning of the 235U in 1.0 kg of UO2 (enriched so that 235U is 3.0% of the total uranium) could keep a 100 W lamp burning for 690 y.
223
A
Ra nucleus undergoes alpha decay according to the reaction
223
219
He. Determine the following. (Let the
88
Ra →
88
86 Rn +
223
Ra be 223.0185 u, the atomic mass of
atomic mass of
219
Rn be 219.0095 u and the atomic mass of He be 4.0026 u.)
86
(a) Q value (in MeV) for the process (Enter your answer to at least two decimal places.)
MeV
(b) Kinetic energy (in MeV) of the alpha particle after the decay (Enter your answer to at least two decimal places.)
MeV
(c) Kinetic energy (in MeV) of the daughter nucleus after the decay
MeV
Consider the following a-decay of the Uranium nucleus
236 U → 332Th + a.
90
(a) Show how the mass number (Aa) and atomic number (Za) of the alpha particle are obtained from
this equation.
(b) Calculate the Q-value (Qa) of the reaction.
(c) Calculate the speed va = √2MQ of the alpha particle after it has been ejected from the parent
nucleus, in terms of the speed of light c. M =
-, mp and ma are the atomic masses
(ma+mp) x ma
mp
of the daugher nucleus and the alpha particle, respectively.
(d) Calculate the classical turning radius Re= 2Zpe²/Qa, where Zp is the atomic number of the
daughter nucleus, and e² = 1.44 MeV. fm.
(e) Calculate the decay probability Pa that the alpha particle will tunnel through the barrier.
HINT: In calculating the probability, use the fact that ħc=197.327 MeV fm. The formula to use
is given on page 5.
Chapter 43 Solutions
Fundamentals Of Physics - Volume 1 Only
Ch. 43 - Prob. 1QCh. 43 - Prob. 2QCh. 43 - Prob. 3QCh. 43 - Prob. 4QCh. 43 - Prob. 5QCh. 43 - Prob. 6QCh. 43 - Prob. 7QCh. 43 - Which of these elements is not cooked up by...Ch. 43 - Prob. 9QCh. 43 - Prob. 10Q
Ch. 43 - Prob. 11QCh. 43 - Prob. 12QCh. 43 - Prob. 1PCh. 43 - Prob. 2PCh. 43 - Prob. 3PCh. 43 - Prob. 4PCh. 43 - Prob. 5PCh. 43 - Prob. 6PCh. 43 - Prob. 7PCh. 43 - Prob. 8PCh. 43 - Prob. 9PCh. 43 - Prob. 10PCh. 43 - Prob. 11PCh. 43 - Prob. 12PCh. 43 - Prob. 13PCh. 43 - Prob. 14PCh. 43 - Prob. 15PCh. 43 - Prob. 16PCh. 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 - SSM a A neutron of mass mn and kinetic energy K...Ch. 43 - Prob. 26PCh. 43 - Prob. 27PCh. 43 - Prob. 28PCh. 43 - Prob. 29PCh. 43 - Prob. 30PCh. 43 - Prob. 31PCh. 43 - Prob. 32PCh. 43 - Prob. 33PCh. 43 - Prob. 34PCh. 43 - Prob. 35PCh. 43 - Prob. 36PCh. 43 - Prob. 37PCh. 43 - Prob. 38PCh. 43 - Prob. 39PCh. 43 - Prob. 40PCh. 43 - Prob. 41PCh. 43 - Prob. 42PCh. 43 - Prob. 43PCh. 43 - Prob. 44PCh. 43 - Prob. 45PCh. 43 - Prob. 46PCh. 43 - SSM WWW Coal burns according to the reaction...Ch. 43 - Prob. 48PCh. 43 - Prob. 49PCh. 43 - Prob. 50PCh. 43 - Prob. 51PCh. 43 - Prob. 52PCh. 43 - Prob. 53PCh. 43 - Prob. 54PCh. 43 - Prob. 55PCh. 43 - Prob. 56PCh. 43 - Prob. 57PCh. 43 - Prob. 58P
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- (a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws 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) 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) Find the total energy released in MeV in each carbon cycle (elaborated in the above problem) including the annihilation energy. (b) How does this compare with the protonproton cycle output?arrow_forward(a) Calculate the energy released in the neutron- induced fission n+238U96Sr+140Xe+3n , given m(96Sr)=95.921750uand m(140Xe)=139.92164 . This result is about 6 MeV greater than the result for spontaneous fission. Why? Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardAssume onefourth of the yield of a typical 320kT strategic bomb comes from fission reactions averaging 200 MeV and the remainder from fusion reactions averaging 20 MeV. (a) Calculate the number of fissions and the approximate mass of uranium and plutonium fissioned, taking the average atomic mass to be 238. (b) Find the number of fusions and calculate the approximate mass of fusion fuel, assuming an average total atomic mass of the two nuclei in each reaction to be 5. (c) Considering the masses found, does it seem reasonable that some missiles could carry 10 warheads? Discuss, noting that the nuclear fuel is only a part of the mass of a warhead.arrow_forward
- The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical power. What is the thermal nuclear power output in megawatts? How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? What mass of 235U is fissioned in 1 year of full-power operation?arrow_forwardDeuterium fuses with tritium by the following reaction:21H+31H⟶42He+10n12H+13H⟶24He+01nThe atomic masses of deuterium and tritium are 2.014102u2.014102u and 3.016049u3.016049u respectively. Calculate the energy in joules released by the fusion of a 2.5 -kg mixture of deuterium and tritium, which produces helium. There are equal numbers of deuterium and tritium nuclei in the mixture. If this process takes place continuously over a period of a year, what is the average power output in units of megawatts?arrow_forwardCalculate the energy released in the following nuclear fission reaction: 239Pu+n→98Tc+138Sb+4n239Pu+n→98Tc+138Sb+4n Recall that the atomic masses are 239 Pu239 Pu = 239.052157 u u, 98 Tc 98Tc = 97.907215 uu, 138 Sb 138Sb = 137.940793uarrow_forward
- (a) In addition to uranium, plutonium is also a well-suited starting product for the release of energy through nuclear fission. If you bombard a ²32Pu nucleus with a neutron the fission products 94 barium ¹Ba and strontium 3Sr are formed. 56 (i) Write down the full equation of the reaction. (ii) Calculate the reaction energy in eV units. Note that m(232Pu) = 239.052162u, 94 m(¹Ba) = 143.922955u, and m(Sr) = 93.915356u. (iii) Explain what triggers a chain reaction with 232 Pu. 94arrow_forwardCalculate the energy released (Q value) from the following fission reaction:arrow_forwardI need the answer as soon as possiblearrow_forward
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