An atom of uranium-235 (atomic 235.04392 u) de- 39.8 mass: m(23U) cays to thorium-231 (atomic mass: m(231 Th) = 231.03630 u) n 92 via the 90 a particle (nuclear 4.00151 u). emission of an mass: m(a) c = 2.998 x 108 m s-1. Use (a) What is the binding energy of an 235U nucleus (in J)? 92 (b) What is the binding energy of a 231 Th nucleus (in J)? 90 (c) What is the binding energy of an a particle (in J)?
An atom of uranium-235 (atomic 235.04392 u) de- 39.8 mass: m(23U) cays to thorium-231 (atomic mass: m(231 Th) = 231.03630 u) n 92 via the 90 a particle (nuclear 4.00151 u). emission of an mass: m(a) c = 2.998 x 108 m s-1. Use (a) What is the binding energy of an 235U nucleus (in J)? 92 (b) What is the binding energy of a 231 Th nucleus (in J)? 90 (c) What is the binding energy of an a particle (in J)?
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Transcribed Image Text:39.8
An atom of uranium-235 (atomic
mass: m(23U)
cays to thorium-231 (atomic mass:
231.
00 Th) = 231.03630 u)
emission of an
235.04392 u) de-
92
via
the
a particle (nuclear
4.00151 u).
m(ža)
c = 2.998 x 108 m s-1.
mass:
Use
%D
(a) What is the binding energy of an
235U nucleus (in J)?
92
(b) What is the binding energy of a
231 Th nucleus (in J)?
90
(c) What is the binding energy of an a
particle (in J)?
(d) What is the maximum possible ki-
netic energy (in J) of the a particle
emitted during this decay? (Hint:
what is the difference between the
mass of 23°U and the total mass of
92
231 Th and an a particle?)
90
(e) Whatis the maximum velocity of the
emitted a particle?
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