Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Question
Chapter 42, Problem 68GP
(a)
To determine
Find the mass of uranium-235 was actually fissioned in the first atomic bomb.
(b)
To determine
Find the actual mass transformed to energy.
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Assume that burning one metric ton (1,000 kg) of coal releases 3.30 1010 J of energy, while the fission of one nucleus of uranium-235 releases 200 MeV. What mass of uranium-235 (in g) produces the same energy in fission as burning five metric tons of coal?
According to one estimate, the first atomic bomb released an energy equivalent to 20. kilotons of TNT. If 1.0 ton of TNT releases about 4.0 x 109 J, how much uranium was lost through fission in this bomb? (Assume 208 MeV released per fission.)
(a) How much energy (in MeV is released when Radium – 226 (m2-25 = 226.025402 u)
alpha decays and becomes Radon – 222 (m-m = 222.017571 u)? The mass of the
a – particle is mg=4.002602 u. Write the nuclear reaction.
(b) If the nucleus was initially at rest, calculate the velocities of the a- particle and the
Radon– 222 nucleus in part (a).
(c) What percentage of the total kinetic energy does the a- particle carry away?
Chapter 42 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 42.1 - Prob. 1AECh. 42.3 - Prob. 1BECh. 42.4 - Return to the first Chapter-Opening Question, page...Ch. 42.4 - Prob. 1DECh. 42.6 - Prob. 1EECh. 42 - Prob. 1QCh. 42 - Prob. 2QCh. 42 - Prob. 3QCh. 42 - Why are neutrons such good projectiles for...Ch. 42 - Prob. 5Q
Ch. 42 - Prob. 6QCh. 42 - Prob. 7QCh. 42 - Prob. 8QCh. 42 - Prob. 9QCh. 42 - Prob. 10QCh. 42 - Prob. 11QCh. 42 - Why would a porous block of uranium be more likely...Ch. 42 - Prob. 13QCh. 42 - Prob. 14QCh. 42 - Prob. 15QCh. 42 - Prob. 16QCh. 42 - Prob. 17QCh. 42 - Prob. 18QCh. 42 - Prob. 19QCh. 42 - Prob. 20QCh. 42 - Prob. 21QCh. 42 - Prob. 22QCh. 42 - Prob. 23QCh. 42 - Prob. 24QCh. 42 - Prob. 25QCh. 42 - How might radioactive tracers be used to find a...Ch. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - (I) What is the effective cross section for the...Ch. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 34PCh. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - Prob. 38PCh. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 42PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65GPCh. 42 - Prob. 66GPCh. 42 - Prob. 67GPCh. 42 - Prob. 68GPCh. 42 - Prob. 69GPCh. 42 - Prob. 70GPCh. 42 - Prob. 71GPCh. 42 - Prob. 72GPCh. 42 - Prob. 73GPCh. 42 - Prob. 74GPCh. 42 - Prob. 75GPCh. 42 - Prob. 76GPCh. 42 - Prob. 77GPCh. 42 - Prob. 78GPCh. 42 - Prob. 79GPCh. 42 - Prob. 80GPCh. 42 - Prob. 81GPCh. 42 - Prob. 82GPCh. 42 - Prob. 83GPCh. 42 - Prob. 84GPCh. 42 - Prob. 85GPCh. 42 - Prob. 86GPCh. 42 - Prob. 87GPCh. 42 - Prob. 88GP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forward(a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardThe electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forward
- (a) Write the complete + decay equation for llC. (b) Calculate the energy released in the decay. The masses of 11C and 11B are 11.011433 and 11.009305 u, respectively.arrow_forward(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardWhat mass is converted into energy by a 1.00MT bomb?arrow_forward
- (a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forwardIf the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV respectively, what is the difference in their masses in kilograms?arrow_forwardDerive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forward
- The electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical power. What is the thermal nuclear power output in megawatts? How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? What mass of 235U is fissioned in 1 year of full-power operation?arrow_forward(a) Calculate the energy released in the neutroninduced fission reaction n+239Pu96Sr+140Ba+4n, given m(96Sr)=95.921750u and m(140Ba)=139.910581u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forward(a) How much energy would be released if the proton did decay 1uria the conjectured reaction (b) Given that the decays to two (s and that the will find an electron to annihilate, what total energy is ultimately produced in proton decay? (c) Why is this energy greater than the proton's total mass (converted to energy)?arrow_forward
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