(a) Calculate the energy released in the neutron−induced fission (similar to the spontaneous fission in Example 32.3) n + 238 U → 96 Sr + 140 Xe + 3 n , given m ( 96 Sr ) = 95.921750 u and m ( 140 Xe ) = 139.92164 . (b) This result is about 6 MeV greater than the result for spontaneous fission. Why? (c) Con?rm that the total number at nucleons and total charge are conserved in this reaction.
(a) Calculate the energy released in the neutron−induced fission (similar to the spontaneous fission in Example 32.3) n + 238 U → 96 Sr + 140 Xe + 3 n , given m ( 96 Sr ) = 95.921750 u and m ( 140 Xe ) = 139.92164 . (b) This result is about 6 MeV greater than the result for spontaneous fission. Why? (c) Con?rm that the total number at nucleons and total charge are conserved in this reaction.
(a) Calculate the energy released in the neutron−induced fission (similar to the spontaneous fission in Example 32.3)
n
+
238
U
→
96
Sr
+
140
Xe
+
3
n
,
given
m
(
96
Sr
)
=
95.921750
u
and
m
(
140
Xe
)
=
139.92164
. (b) This result is about 6 MeV greater than the result for spontaneous fission. Why? (c) Con?rm that the total number at nucleons and total charge are conserved in this reaction.
Calculate the energy released (in MeV) in this rare neutron-induced fission.
According to one estimate, there are 4.4 x 106 metric tons of world uranium reserves extractable at $130/kg or less. About 0.70% of naturally occurring uranium is the fissionable isotope 235U. (a) Calculate the mass of 235U in this reserve in grams. (b) Find the number of moles of 235U and convert to a number of atoms. (c) Assuming 208 MeV is obtained from each reaction and all this energy is captured, calculate the total energy that can be extracted from the reserve in joules. (d) Assuming world power consumption to be constant at 1.5 x 1013 J/s, how many years could the uranium reserves provide for all the world’s energy needs using conventional reactors that don’t generate nuclear fuel? (e) What conclusions can be drawn?
According to one estimate, there are 4.35 × 10° metric tons of world uranium reserves extractable at $130/kg or less. About 0.7% of naturally occurring uranium is the fissionable isotope
235U.
(a) Calculate the mass of 23³U in this reserve in grams.
(b) Find the number of moles of 235U and convert to a number of atoms.
mol
atoms
(c) Assuming 208 MeV is obtained from each reaction and all this energy is captured, calculate the total energy that can be extracted from the reserve in joules.
(d) Assuming world power consumption to be constant at 1.52 x 10-3 J/s, how many years could the uranium reserves provide for all the world's energy needs using conventional reactors that
don't generate nuclear fuel?
yr
(e) What conclusion can be drawn?
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