Consider the reaction 235 U + ¹n → 148 La + 87 Br + ¹n. 92 0 57 35 0 Element 235 U 92 in 0 148 La 57 87 Br 35 Atomic Mass (u) u 235.043923 1.008665 147.932236 (a) Write the conservation of relativistic energy equation symbolically in terms of the rest energy and the kinetic energy, setting the initial total energy to the final total energy. (Use the following as necessary: m₁, m, KE, KE and c.) u 86.92071119 (b) Using values given above, find the total mass of the initial particles (in u). (c) Using the values given above, find the total mass of the particles after the reaction takes place (in u). u (d) Subtract the final particle mass from the initial particle mass. (Enter your answer in u.) (e) Convert the answer to part (d) to MeV, obtaining the kinetic energy of the daughter particles. Neglect the kinetic energy of the reactants. MeV

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Consider the reaction
235 U
92
1
0
148
57
87
35
La
Br
Element Atomic Mass (u)
235
92
U
U +
1
U
0
n →
U
148
57
La +
235.043923
1.008665
147.932236
86.92071119
87
35
Br +
1
(a) Write the conservation of relativistic energy equation symbolically in terms of the rest energy and the kinetic energy, setting the initial total energy to the final total energy. (Use the following as
necessary: m;, mf, KE, KE, and c.)
0
(b) Using values given above, find the total mass of the initial particles (in u).
n.
(c) Using the values given above, find the total mass of the particles after the reaction takes place (in u).
(d) Subtract the final particle mass from the initial particle mass. (Enter your answer in u.)
(e) Convert the answer to part (d) to MeV, obtaining the kinetic energy of the daughter particles. Neglect the kinetic energy of the reactants.
MeV
Transcribed Image Text:Consider the reaction 235 U 92 1 0 148 57 87 35 La Br Element Atomic Mass (u) 235 92 U U + 1 U 0 n → U 148 57 La + 235.043923 1.008665 147.932236 86.92071119 87 35 Br + 1 (a) Write the conservation of relativistic energy equation symbolically in terms of the rest energy and the kinetic energy, setting the initial total energy to the final total energy. (Use the following as necessary: m;, mf, KE, KE, and c.) 0 (b) Using values given above, find the total mass of the initial particles (in u). n. (c) Using the values given above, find the total mass of the particles after the reaction takes place (in u). (d) Subtract the final particle mass from the initial particle mass. (Enter your answer in u.) (e) Convert the answer to part (d) to MeV, obtaining the kinetic energy of the daughter particles. Neglect the kinetic energy of the reactants. MeV
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