Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 41, Problem 76GP
(a)
To determine
The activity of
(b)
To determine
The activity of
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Taking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy K, of the alpha particle in
the following decay of a 235U nucleus at rest.
235 U
231 Th+a
K₁ ==
MeV
4
216
A
Po nucleus undergoes alpha decay according to the reaction
216
Ро >
84
216
Po be 216.0019 u, the atomic
212
Pb + He. Determine the following. (Let the atomic mass of
82
84
2
84
212
4
mass of
Pb be 211.9919 u and the atomic mass of He be 4.0026 u.)
82
2
(a) Q value (in MeV) for the process (Enter your answer to at least two decimal places.)
MeV
(b) Kinetic energy (in MeV) of the alpha particle after the decay (Enter your answer to at least two decimal places.)
MeV
(c)
Kinetic energy (in MeV) of the daughter nucleus after the decay
MeV
Plutonium-239 is used as the energy source for heart pacemakers and space probes. It decays to
uranium-235 by alpha emission. How much energy (in kilojoules) is given off by the decay? (235U =
= 239.0522 amu; He = 4.0026 amu; 1 amu = 1.661x10-24 g.)
23⁹ Pu
235.0439 amu;
94
O
-1.5 x 10-13 kJ
-1.5 x 10-10 kJ
-1.5 x 10-16 kJ
Ⓒ -1.5 x 10-15 kJ
Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 41.2 - Prob. 1AECh. 41.2 - Prob. 1BECh. 41.4 - Prob. 1CECh. 41.8 - Prob. 1DECh. 41.8 - Prob. 1EECh. 41.8 - Prob. 1FECh. 41.8 - Prob. 1GECh. 41 - Prob. 1QCh. 41 - Prob. 2QCh. 41 - Prob. 3Q
Ch. 41 - Prob. 4QCh. 41 - Prob. 5QCh. 41 - How do we know there is such a thing as the strong...Ch. 41 - Prob. 7QCh. 41 - What is the experimental evidence in favor of...Ch. 41 - Prob. 9QCh. 41 - Prob. 10QCh. 41 - Prob. 11QCh. 41 - Prob. 12QCh. 41 - Prob. 13QCh. 41 - Prob. 14QCh. 41 - Prob. 15QCh. 41 - When a nucleus undergoes either or + decay, what...Ch. 41 - Prob. 17QCh. 41 - Prob. 18QCh. 41 - Prob. 19QCh. 41 - Prob. 20QCh. 41 - An isotope has a half-life of one month. After two...Ch. 41 - Prob. 22QCh. 41 - Prob. 23QCh. 41 - Prob. 24QCh. 41 - Prob. 25QCh. 41 - Prob. 26QCh. 41 - Prob. 27QCh. 41 - Prob. 28QCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5PCh. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 12PCh. 41 - Prob. 13PCh. 41 - Prob. 14PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 22PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 35PCh. 41 - Prob. 36PCh. 41 - Prob. 37PCh. 41 - Prob. 38PCh. 41 - Prob. 39PCh. 41 - Prob. 40PCh. 41 - Prob. 41PCh. 41 - Prob. 42PCh. 41 - Prob. 43PCh. 41 - Prob. 44PCh. 41 - Prob. 45PCh. 41 - Prob. 46PCh. 41 - Prob. 47PCh. 41 - Prob. 48PCh. 41 - Prob. 49PCh. 41 - Prob. 50PCh. 41 - Prob. 51PCh. 41 - Prob. 52PCh. 41 - Prob. 53PCh. 41 - Prob. 54PCh. 41 - Prob. 55PCh. 41 - Prob. 56PCh. 41 - (II) The activity of a radioactive source...Ch. 41 - Prob. 58PCh. 41 - Prob. 59PCh. 41 - Prob. 60PCh. 41 - Prob. 61PCh. 41 - Prob. 62GPCh. 41 - Prob. 63GPCh. 41 - Prob. 64GPCh. 41 - Prob. 65GPCh. 41 - Prob. 66GPCh. 41 - Prob. 67GPCh. 41 - Prob. 68GPCh. 41 - Prob. 69GPCh. 41 - Prob. 70GPCh. 41 - Prob. 71GPCh. 41 - Prob. 72GPCh. 41 - Prob. 73GPCh. 41 - Prob. 74GPCh. 41 - Prob. 75GPCh. 41 - Prob. 76GPCh. 41 - Prob. 77GPCh. 41 - Prob. 78GPCh. 41 - Prob. 79GPCh. 41 - Prob. 80GPCh. 41 - (a) A 72-gram sample of natural carbon contains...Ch. 41 - Prob. 82GPCh. 41 - Prob. 83GPCh. 41 - Prob. 84GPCh. 41 - Almost all of naturally occurring uranium is...Ch. 41 - Prob. 86GPCh. 41 - Prob. 87GPCh. 41 - Prob. 88GPCh. 41 - Prob. 89GPCh. 41 - Prob. 90GP
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- (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_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 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
- What is the dose in mSv for: (a) a 0.1 Gy xray? (b) 2.5 mGy of neutron exposure to the eye? (c) 1.5 mGy of exposure?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_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_forward
- Data from the appendices and the periodic table may be needed for these problems. Show that the activity of the 14C in 1.00 g of 12C found in living tissue is 0.250 Bq.arrow_forward(a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.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 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 neutron generator uses an (source, such as radium, to bombard beryllium, inducing the reaction 4He+9Be12C+n. Such neutron sources are called RaBe sources, 0r PuBe sources if they use plutonium to get the (s. Calculate the energy output of the reaction in MeV.arrow_forward(a) A cancer patient is exposed to rays from a 5000Ci 60Co transillumination unit for 32.0 s. The rays are collimated in such a manner that only 1.00% of them strike the patient. Of those, 20.0% are absorbed in a tumor having a mass of 1.50 kg. What is the dose in rem to the tumor, it the average energy per decay is 1.25 MeV? None of the s from the decay reach the patient. (b) Is the dose consistent with stated therapeutic doses?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
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