Explanation Given i. In a particular fission event of 235 U by slow neutrons, no neutron is emitted, and one of the primary fission fragments is 83 Ge. ii. The disintegration energy Q = 170 MeV. iii. 235 U fissions into 2 fragments – one of which is 83 Ge. iv. Refer to Appendix F and G for details about nuclei Z and A. v. 1 u = 1.66 x 10 -27 kg vi. 1eV = 1.6 x 10 -19 J 1) Concept When a nucleus fissions, it releases energy; this energy is the mass difference between the parent nuclei and the fragment nuclear products. This is the disintegration energy Q = ∆mc 2 . When 2 nuclei are produced during fission, their initial momentum is zero. In a nuclear fission, we can find and identify the fragment nuclei because A, N and Z are conserved. 2) Equations i. Conservation of momentum: initial momentum = final momentum ii. KE = p 2 /2m, where p is momentum, p = mv 3) Calculations (a) If X represents the unknown fragment, then the reaction can be written 235 92 U + n 83 32 Ge + A Z X (no neutrons are emitted) Mass on the left hand side of this equation = 235 + 1 = 236 ……………………..(1) Mass of the right hand side = 83 +A ………………………………………………(2) Equating (1) and (2), because mass should be same on both the sides, we get A = 153. If we do similar calculations for Z, we get Z = 60 From Appendix G and F, we can say that nuclei with Z = 60 is Nd Thus the second fragment is 153 60 Nd. (b) Let us neglect the kinetic energy and momentum carried by the slow neutron that triggers the fission event. Then, Disintegration energy Q = KE of 83 32 Ge + KE of 153 60 Nd …………………(3) Remember that Ge and Nd were not formed before the fission. Thus initial momentum of Ge and Nd = 0 = p Ge + p Nd …………………….(4) KE = p 2 /2m Thus KE Nd = p N d 2 2 M N d Re-arranging, and using (4) we will get p C e 2 2 M N d = M C e M N d x p C e 2 2 M c e = M C e M N d x K<

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Nuclear Fission

Nuclear fission is a type of nuclear reaction in which heavier nuclei split into lighter nuclei by releasing a large quantity of energy. The elements like uranium-235 and plutonium-239 isotope undergo nuclear fission releasing energy. When nuclei undergo…

Endothermic Nuclear Reaction

A nuclear reaction can be described as a process where two atoms, or two nuclei or nucleus and subatomic particles such as a proton, neutron interact together, and a large amount of energy is produced and new elements are also produced.

Question

Chapter 43, Problem 17P

To determine

To find:

(a) the second fission fragment in a particular fission event of ²³⁵U by slow neutrons.

(b) the amount of energy that goes into the ⁸³Ge fragment.

(c) the amount of energy that goes into the other fragment.

(d) the speed of ⁸³Ge just after the fission.

(e) the speed of the other fragment just after the fission.

Expert Solution & Answer

Chapter 43 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 43 - Prob. 1Q Ch. 43 - Prob. 2Q Ch. 43 - Prob. 3Q Ch. 43 - Prob. 4Q Ch. 43 - Prob. 5Q Ch. 43 - Prob. 6Q Ch. 43 - Prob. 7Q Ch. 43 - Which of these elements is not cooked up by...Ch. 43 - Prob. 9Q Ch. 43 - Prob. 10Q

Ch. 43 - Prob. 11Q Ch. 43 - Prob. 12Q Ch. 43 - Prob. 1P Ch. 43 - Prob. 2P Ch. 43 - Prob. 3P Ch. 43 - Prob. 4P Ch. 43 - Prob. 5P Ch. 43 - Prob. 6P Ch. 43 - Prob. 7P Ch. 43 - Prob. 8P Ch. 43 - Prob. 9P Ch. 43 - Prob. 10P Ch. 43 - Prob. 11P Ch. 43 - Prob. 12P Ch. 43 - Prob. 13P Ch. 43 - Prob. 14P Ch. 43 - Prob. 15P Ch. 43 - Prob. 16P Ch. 43 - Prob. 17P Ch. 43 - Prob. 18P Ch. 43 - Prob. 19P Ch. 43 - Prob. 20P Ch. 43 - Prob. 21P Ch. 43 - Prob. 22P Ch. 43 - Prob. 23P Ch. 43 - Prob. 24P Ch. 43 - SSM a A neutron of mass mn and kinetic energy K...Ch. 43 - Prob. 26P Ch. 43 - Prob. 27P Ch. 43 - Prob. 28P Ch. 43 - Prob. 29P Ch. 43 - Prob. 30P Ch. 43 - Prob. 31P Ch. 43 - Prob. 32P Ch. 43 - Prob. 33P Ch. 43 - Prob. 34P Ch. 43 - Prob. 35P Ch. 43 - Prob. 36P Ch. 43 - Prob. 37P Ch. 43 - Prob. 38P Ch. 43 - Prob. 39P Ch. 43 - Prob. 40P Ch. 43 - Prob. 41P Ch. 43 - Prob. 42P Ch. 43 - Prob. 43P Ch. 43 - Prob. 44P Ch. 43 - Prob. 45P Ch. 43 - Prob. 46P Ch. 43 - SSM WWW Coal burns according to the reaction...Ch. 43 - Prob. 48P Ch. 43 - Prob. 49P Ch. 43 - Prob. 50P Ch. 43 - Prob. 51P Ch. 43 - Prob. 52P Ch. 43 - Prob. 53P Ch. 43 - Prob. 54P Ch. 43 - Prob. 55P Ch. 43 - Prob. 56P Ch. 43 - Prob. 57P Ch. 43 - Prob. 58P

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