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Chapter 43: Q11P (page 1331)
Calculate the disintegration energy Q for the fission of into two equal fragments. The masses you will need are
role="math" localid="1661753124790"
The disintegrated energy is .
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The isotope decays by alpha emission with a half-life of . It also decays (rarely) by spontaneous fission, and if the alpha decay did not occur, its half-life due to spontaneous fission alone would be .
(a) At what rate do spontaneous fission decays occur in 1.0 g of ?
(b) How many alpha-decay events are there for every spontaneous fission event?
Calculate and compare the energy released by (a) the fusion of1.0 kg of hydrogen deep within the Sun and (b) the fission of 1.0 kgofin a fission reactor.
In an atomic bomb, energy release is due to the uncontrolled fission of plutonium (or ). The bomb鈥檚 rating is the magnitude of the released energy, specified in terms of the mass of TNT required to produce the same energy release. One megaton of TNT releases of energy. (a) Calculate the rating, in tons of TNT, of an atomic bomb containing 95 kg of , of which 2.5 kg actually undergoes fission. (See Problem 4.) (b) Why is the other 92.5 kg of needed if it does not fission?
The fission properties of the plutonium isotope are very similar to those of . The average energy released per fission is 180 MeV. How much energy, in MeV, is released if all the atoms in 1.0 kg of pure undergo fission?
Question:(a) A neutron of mass and kinetic energy K makes a head-on elastic collision with a stationary atom of mass . Show that the fractional kinetic energy loss of the neutron is given by .
Find role="math" localid="1661942719139" for each of the following acting as the stationary atom:
(b) hydrogen,
(c) deuterium,
(d) carbon, and
(e) lead.
(f) If K=1.00MeV initially, how many such head-on collisions would it take to reduce the neutron鈥檚 kinetic energy to a thermal value (0.25 eV) if the stationary atoms it collides with are deuterium, a commonly used moderator? (In actual moderators, most collisions are not head-on.)
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