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Consider a fission reaction where a Uranium-235 nucleus absorbs a neutron and th

ID: 1561207 • Letter: C

Question

Consider a fission reaction where a Uranium-235 nucleus absorbs a neutron and then splits to Strontium, Xenon, and some neutrons. If the strontium nucleus has a mass number of (89) and the Xenon nucleus has a mass number of (144), how much energy is released in a single reaction? Use the attached table for the atomic masses of the nuclei. Give your answer in MeV and with 4 significant figures. (Hint: Balance the reaction first)

Isotope Masses for Fission | Z | A |Atomic mass (u) Neutron 1.008665 Uranium 92 235 Strontium 86.908877 88 87.90561 2 88.907451 90 89.907738 91 90.91 0203 92 91.91 1 038 93 92.914026 94 93915361 95 94919359 96 95.921697 96.9261 53 98 97.928453 99 | 98933240 Xenon 54 133 132.905910 134 133.905395 135 134.907227 136 135.90721 9 137 136.911 562 138 137913950 139 138918793 140 139.921640 141 140.926650 142 141.929710 143 142.935 1 1 0 144 143.938510 145 144.944070 146 145.947750 030000000 6197330 594511175 2597667150 2003361 0145916 0000111222 08 04 2399999999999999 00001111122 9999999999999 333334444 89012345678 33333334444 88999999999 Z| 0-28

Explanation / Answer

235 U 92 + 1 n => 89 Sr 38 + 144 Xe 54 + 3 n

ON left side :

total mass = 235.043923 + 1.008665 = 236.052588 u


On right side:

total mass = 88.907451 + 143.938510 + 3 (1.008665) = 235.871956

mass diff = left side mass - right side masss

= 0.1806332 u


Energy released = 0.1806332 x 931.5 MeV

= 168.26 MeV

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