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Conceptual questions

Explain why the fission of heavy nuclei releases energy. Similarly, why is it that energy input is required to fission light nuclei?

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Explain, in terms of conservation of momentum and energy, why collisions of neutrons with protons will thermalize neutrons better than collisions with oxygen.

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The ruins of the Chernobyl reactor are enclosed in a huge concrete structure built around it after the accident. Some rain penetrates the building in winter, and radioactivity from the building increases. What does this imply is happening inside?

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Since the uranium or plutonium nucleus fissions into several fission fragments whose mass distribution covers a wide range of pieces, would you expect more residual radioactivity from fission than fusion? Explain.

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The core of a nuclear reactor generates a large amount of thermal energy from the decay of fission products, even when the power-producing fission chain reaction is turned off. Would this residual heat be greatest after the reactor has run for a long time or short time? What if the reactor has been shut down for months?

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How can a nuclear reactor contain many critical masses and not go supercritical? What methods are used to control the fission in the reactor?

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Why can heavy nuclei with odd numbers of neutrons be induced to fission with thermal neutrons, whereas those with even numbers of neutrons require more energy input to induce fission?

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Why is a conventional fission nuclear reactor not able to explode as a bomb?

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Problem exercises

(a) Calculate the energy released in the neutron-induced fission (similar to the spontaneous fission in [link] )

n + 238 U 96 Sr + 140 Xe + 3 n,

given m ( 96 Sr ) = 95.921750 u and m ( 140 Xe ) = 139.92164 . (b) This result is about 6 MeV greater than the result for spontaneous fission. Why? (c) Confirm that the total number of nucleons and total charge are conserved in this reaction.

(a) 177.1 MeV

(b) Because the gain of an external neutron yields about 6 MeV, which is the average BE/ A for heavy nuclei.

(c) A = 1 + 238 = 96 + 140 + 1 + 1 + 1, Z = 92 = 38 + 53 , efn = 0 = 0 size 12{A=1+"238"="96"+"140"+1+1+1,`Z="92"="38"+"53",`"efn"=0=0} {}

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(a) Calculate the energy released in the neutron-induced fission reaction

n + 235 U 92 Kr + 142 Ba + 2 n,

given m ( 92 Kr ) = 91 . 926269 u and m ( 142 Ba ) = 141 . 916361 u .

(b) Confirm that the total number of nucleons and total charge are conserved in this reaction.

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(a) Calculate the energy released in the neutron-induced fission reaction

n + 239 Pu 96 Sr + 140 Ba + 4 n ,

given m ( 96 Sr ) = 95 . 921750 u and m ( 140 Ba ) = 139 . 910581 u size 12{m \( "" lSup { size 8{"140"} } "Ba" \) ="139" "." "910581"`u} {} .

(b) Confirm that the total number of nucleons and total charge are conserved in this reaction.

(a) 180.6 MeV

(b) A = 1 + 239 = 96 + 140 + 1 + 1 + 1 + 1, Z = 94 = 38 + 56 , efn = 0 = 0 size 12{A=1+"239"="96"+"140"+1+1+1+1,`Z="94"="38"+"56",`"efn"=0=0} {}

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Confirm that each of the reactions listed for plutonium breeding just following [link] conserves the total number of nucleons, the total charge, and electron family number.

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Breeding plutonium produces energy even before any plutonium is fissioned. (The primary purpose of the four nuclear reactors at Chernobyl was breeding plutonium for weapons. Electrical power was a by-product used by the civilian population.) Calculate the energy produced in each of the reactions listed for plutonium breeding just following [link] . The pertinent masses are m ( 239 U ) = 239.054289 u , m ( 239 Np ) = 239.052932 u , and m ( 239 Pu ) = 239.052157 u .

238 U + n 239 U + γ 4.81 MeV

239 U 239 Np + β + v e 0.753 MeV

239 Np 239 Pu + β + v e size 12{"" lSup { size 8{"239"} } "Np" rightarrow "" lSup { size 8{"239"} } "Pu"+β rSup { size 8{ - {}} } +v rSub { size 8{e} } } {} 0.211 MeV

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The naturally occurring radioactive isotope 232 Th size 12{"" lSup { size 8{"232"} } "Th"} {} does not make good fission fuel, because it has an even number of neutrons; however, it can be bred into a suitable fuel (much as 238 U size 12{"" lSup { size 8{"238"} } U} {} is bred into 239 P size 12{"" lSup { size 8{"239"} } P} {} ).

(a) What are Z size 12{Z} {} and N size 12{N} {} for 232 Th size 12{"" lSup { size 8{"232"} } "Th"} {} ?

(b) Write the reaction equation for neutron captured by 232 Th and identify the nuclide A X produced in n + 232 Th A X + γ .

(c) The product nucleus β size 12{β rSup { size 8{ - {}} } } {} decays, as does its daughter. Write the decay equations for each, and identify the final nucleus.

(d) Confirm that the final nucleus has an odd number of neutrons, making it a better fission fuel.

(e) Look up the half-life of the final nucleus to see if it lives long enough to be a useful fuel.

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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.

(a) What is the thermal nuclear power output in megawatts?

(b) How many 235 U size 12{"" lSup { size 8{"235"} } U} {} nuclei fission each second, assuming the average fission produces 200 MeV?

(c) What mass of 235 U size 12{"" lSup { size 8{"235"} } U} {} is fissioned in one year of full-power operation?

(a) 2 . 57 × 10 3 MW size 12{2 "." "57" times "10" rSup { size 8{3} } `"MW"} {}

(b) 8.03 × 10 19 fission/s size 12{8 "." "04" times "10" rSup { size 8{"19"} } `"fission/s"} {}

(c) 991 kg

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A large power reactor that has been in operation for some months is turned off, but residual activity in the core still produces 150 MW of power. If the average energy per decay of the fission products is 1.00 MeV, what is the core activity in curies?

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Questions & Answers

what is power?
aron Reply
power P = Work done per second W/ t. It means the more power, the stronger machine
Sphere
e.g. heart Uses 2 W per beat.
Rohit
A spherica, concave shaving mirror has a radius of curvature of 32 cm .what is the magnification of a persons face. when it is 12cm to the left of the vertex of the mirror
Alona Reply
did you solve?
Shii
1.75cm
Ridwan
my name is Abu m.konnek I am a student of a electrical engineer and I want you to help me
Abu
the magnification k = f/(f-d) with focus f = R/2 =16 cm; d =12 cm k = 16/4 =4
Sphere
A weather vane is some sort of directional arrow parallel to the ground that may rotate freely in a horizontal plane. A typical weather vane has a large cross-sectional area perpendicular to the direction the arrow is pointing, like a “One Way” street sign. The purpose of the weather vane is to indicate the direction of the wind. As wind blows pa
Kavita Reply
hi
Godfred
what about the wind vane
Godfred
If a prism is fully imersed in water then the ray of light will normally dispersed or their is any difference?
Anurag Reply
the same behavior thru the prism out or in water bud abbot
Ju
If this will experimented with a hollow(vaccum) prism in water then what will be result ?
Anurag
What was the previous far point of a patient who had laser correction that reduced the power of her eye by 7.00 D, producing a normal distant vision power of 50.0 D for her?
Jaydie Reply
What is the far point of a person whose eyes have a relaxed power of 50.5 D?
Jaydie
What is the far point of a person whose eyes have a relaxed power of 50.5 D?
Jaydie
A young woman with normal distant vision has a 10.0% ability to accommodate (that is, increase) the power of her eyes. What is the closest object she can see clearly?
Jaydie
29/20 ? maybes
Ju
In what ways does physics affect the society both positively or negatively
Princewill Reply
how can I read physics...am finding it difficult to understand...pls help
rerry Reply
try to read several books on phy don't just rely one. some authors explain better than other.
Ju
And don't forget to check out YouTube videos on the subject. Videos offer a different visual way to learn easier.
Ju
hope that helps
Ju
I have a exam on 12 february
David Reply
what is velocity
Jiti
the speed of something in a given direction.
Ju
what is a magnitude in physics
Jiti Reply
Propose a force standard different from the example of a stretched spring discussed in the text. Your standard must be capable of producing the same force repeatedly.
Giovani Reply
What is meant by dielectric charge?
It's Reply
what happens to the size of charge if the dielectric is changed?
Brhanu Reply
omega= omega not +alpha t derivation
Provakar Reply
u have to derivate it respected to time ...and as w is the angular velocity uu will relace it with "thita × time""
Abrar
do to be peaceful with any body
Brhanu Reply
the angle subtended at the center of sphere of radius r in steradian is equal to 4 pi how?
Saeed Reply
if for diatonic gas Cv =5R/2 then gamma is equal to 7/5 how?
Saeed
Practice Key Terms 9

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Source:  OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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