Homework Answers
Energy released by one fission (one nucleus) = 190 MeV
= 190 x 106 eV =
190 x 106 x 1.6 x 10-19 J
= 304 x 10-13 J
235 g of uranium contains Avogadro number of nuclei = 6.022 x
1023
1 g contains 6.022 x 1023 / 235
= 25.6255 x 1020 nuclei
Energy released when 25.6255 x 1020 nuclei undergoes
nuclear fission
= 25.6255 x 1020 x 304 x 10-13 J
= 7.79 x 1010 J
Total mass needed in grams = Total energy / Energy of 1 gm
= 8.1 x 1019 / 7.79 x 1010 J
= 1.0398 x 109 g
= 1.0398 x 106 kg
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