COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Textbook Question
Chapter 31, Problem 66PE
Data from the appendices and the periodic table may be needed for these problems.
Unreasonable Results
A nuclear physicist finds 1.0 (g of 236U in a piece of uranium ore and assumes ii is primordial since its half−life is
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The theory of nuclear astrophysics is that all the heavy elements like uranium are formed in the interior of massive stars. These stars eventually explode, releasing the elements into space. If we assume that at the time of explosion there were equal amounts of 235U and 238U, how long ago were the elements that formed our Earth released, given that the present 235U/238U ratio is 0.007? (The half-lives of 235U and 238U are 0.70 x 109 yr and 4.47 x 109 yr, respectively.)
By making 238Pu alpha decay, it turns into 234U, which has a long half-life, and an energy of 6 MeV is released. Since the heat released is sufficiently high, it can be converted into electricity by radiothermal producers. The spacecraft named Voyager 2, which was sent to space on August 20, 1977, crossed 4 planets with Saturn on August 26, 1981.
a) When the Voyager 2 spacecraft crosses Saturn, how much 238Pu is needed to produce at least 295 W of electrical energy with an efficiency of 11%?
b) How much energy is available when the neptu is passed on August 24, 1989?
238U decays spontaneously by a emission to 234Th. Calculate (a) the total energy released by this process and (b) the recoil velocity of the 234Th nucleus. The atomic masses are 238.050788 u for 238U and 234.043601 u for 234Th.
Chapter 31 Solutions
COLLEGE PHYSICS
Ch. 31 - Suppose the range for 5.0 MeVa ray is known to be...Ch. 31 - What is the difference between (rays and...Ch. 31 - Ionizing radiation interacts with matter by...Ch. 31 - What characteristics of radioactivity show it to...Ch. 31 - What is the source of the energy emitted in...Ch. 31 - Consider Figure 31.3. If an electric field is...Ch. 31 - Explain how an (particle can have a larger range...Ch. 31 - Arrange the following according to their ability...Ch. 31 - Often, when people have to work around radioactive...Ch. 31 - Is it possible for light emitted by a scintillator...
Ch. 31 - The weak and strong nuclear forces are basic to...Ch. 31 - Define and make clear distinctions between the...Ch. 31 - What are isotopes? Why do different isotopes of...Ch. 31 - Star Trek fans have often heard the term...Ch. 31 - What conservation law requires an electron’s...Ch. 31 - Neutrinos are experimentally determined to have an...Ch. 31 - What do the three types of beta decay have in...Ch. 31 - In a 3109 yearold rock that originally contained...Ch. 31 - Does the number of radioactive nuclei in a sample...Ch. 31 - Radioactivity depends on the nucleus and not the...Ch. 31 - Explain how a bound system can have less mass than...Ch. 31 - Spontaneous radioactive decay occurs only when the...Ch. 31 - To obtain the most precise value of BE from the...Ch. 31 - How does the finite range of the nuclear force...Ch. 31 - Why is the number of neutrons greater than the...Ch. 31 - A physics student caught breaking conservation...Ch. 31 - When a nucleus (decays, does the (particle move...Ch. 31 - The energy of 30.0 eV is required to ionize a...Ch. 31 - A particle of ionizing radiation creates 4000 ion...Ch. 31 - (a) Repeat Exercise 31.2, and convert the energy...Ch. 31 - Suppose a particle of ionizing radiation deposits...Ch. 31 - Verify that a 2.31017kg mass of water at normal...Ch. 31 - Find the length of a side of a cube having a mass...Ch. 31 - What is the radius of an (particle?Ch. 31 - Find the radius of a 238Pu nucleus. 238Pu is a...Ch. 31 - (a) Calculate the radius of 58Ni, one of the most...Ch. 31 - The unified atomic mass unit is defined to be...Ch. 31 - What is the ratio of the velocity of a (particle...Ch. 31 - If a 1.50cmthick piece of lead can absorb 90.0% of...Ch. 31 - The detail observable using a probe is limited by...Ch. 31 - (a) Show that if you assume the average nucleus is...Ch. 31 - What is the radio of the velocity of a 5.00MeV...Ch. 31 - (a) What is the kinetic energy in MeV of a ray...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - In the following eight problems, write the...Ch. 31 - decay producing 137Ba. The parent nuclide is a...Ch. 31 - ( decay producing 90Y. The parent nuclide is a...Ch. 31 - decay producing 228Ra. The parent nuclide is...Ch. 31 - decay producing 208Pb. The parent nuclide is in...Ch. 31 - When an electron and position annihilate, both...Ch. 31 - Confirm That charge, electron family number, and...Ch. 31 - Confirm that charge, electron family number, and...Ch. 31 - Confirm that charge, electron family number, and...Ch. 31 - Confirm that charge, electron family number, and...Ch. 31 - A rare decay mode has been observed in which 222Ra...Ch. 31 - (a) Write the complete a decay equation for 226Ra....Ch. 31 - (a) Write the complete a decay equation for 249Cf....Ch. 31 - (a) Write the complete decay equation for the...Ch. 31 - (a) Write the complete decay equation for 90Sr,...Ch. 31 - Calculate the energy released in the + decay of...Ch. 31 - (a) Write the complete + decay equation for llC....Ch. 31 - (a) Calculate the energy released in the a decay...Ch. 31 - (a) Write the complete reaction equation for...Ch. 31 - (a) Write the complete reaction equation for...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - Data from the appendices and the periodic table...Ch. 31 - 2H is a loosely hound isotope of hydrogen. Called...Ch. 31 - 56Feis among the most tightly bound of all...Ch. 31 - 209Bi is the heaviest stable nuclide, and its BE/A...Ch. 31 - (a) Calculate BE/A for 235U, the rarer of the two...Ch. 31 - (a) Calculate BE/A for 12C. Stable and relatively...Ch. 31 - The fact that BE/A is greatest for A near 60...Ch. 31 - The purpose of this problem is to show in three...Ch. 31 - Unreasonable Results A particle physicist...Ch. 31 - Derive an approximate relationship between the...Ch. 31 - Integrated Concepts A 2.00T magnetic ?eld is...Ch. 31 - (a) Write the decay equation for the decay of...Ch. 31 - Unreasonable Results The relatively scarce...Ch. 31 - Unreasonable Results A physicist scatters (rays...Ch. 31 - Unreasonable Results A frazzled theoretical...Ch. 31 - Construct Your Own Problem Consider the decay of...Ch. 31 - Prob. 1TPCh. 31 - Prob. 2TPCh. 31 - Prob. 3TPCh. 31 - Prob. 4TPCh. 31 - Prob. 5TPCh. 31 - Prob. 6TPCh. 31 - Prob. 7TPCh. 31 - Prob. 8TPCh. 31 - Prob. 9TPCh. 31 - Prob. 10TPCh. 31 - Prob. 11TPCh. 31 - Prob. 12TP
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- The primary decay mode for the negative pion is What is the energy release in MeV in this decay?arrow_forward(a) What is the uncertainty in the energy released in the decay of a due to its short lifetime? (b) Is the uncertainty in 1his energy greater than or lees than the uncertainty in the mass of the tau neutrino? Discuss the source of the uncertainty.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
- Derive 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(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_forward(a) Estimate the mass of the luminous matter in the known universe, given there are 1011 galaxies, each containing 1011 stars of average mass 1.5 times that of our Sun. (b) How many protons (the most abundant nuclide) are there in this mates? (c) Estimate the total number of particles in the observable universe by multiplying the answer to (b) by two, since there is an electron for each proton, and then by 109, since there are far more particles (such as photons and neutrinos) in space than in luminous matter.arrow_forward
- (a) Write the complete a decay equation for 249Cf. (b) Find the energy released in the decay.arrow_forwardThe K0 meson is an uncharged member of the particle “zoo” that decays into two charged pions according to K0 → π+ + π−. The pions have opposite charges, as indicated, and the same mass, mπ = 140 MeV/c2. Suppose that a K0 at rest decays into two pions in a bubble chamber in which a magnetic field of 2.0 T is present (see Fig. P2.22). If the radius of curvature of the pions is 34.4 cm, find (a) the momenta and speeds of the pions and (b) the mass of the K0 meson.arrow_forwardData from the appendices and the periodic table may be needed for these problems. The Galilee space probe was launched on its long journey past several planets in 1989, with an ultimate goal of Jupiter. Its power source is 11.0 kg of 238Pu, a byproduct of nuclear weapons plutonium production. Electrical energy is generated thermoelectrically from the heat produced when the 5.59MeV (particles emitted in each decay crash to a halt inside the plutonium and its shielding. The halflife of 238Pu is 87.7 years. (a) What was the original activity of the 238Pu in becquerel? (b) What power was emitted in kilowatts? (c) What power was emitted 12.0 y after launch? You may neglect any extra energy from daughter nuclides and any losses from escaping rays.arrow_forward
- The sigmazero particle decays mostly via the reaction Explain how this decay and the respective quark compositions imply that the is an excited state of thearrow_forwardThe Galileo space probe was launched on its long journey past Venus and Earth in 1989, with an ultimate goal of Jupiter. Its power source is 11.0 kg of 238Pu, a by-product of nuclear weapons plutonium production. Electrical energy is generated thermoelectrically from the heat produced when the 5.59-MeV a panicles emitted in each decay crash to a halt inside the plutonium and its shielding. The half-life of 238Pu is 87.7 years. What was the original activity of the 238Pu in becquerels? What power was emitted in kilowatts? What power was emitted 12.0 y after launch? You may neglect any extra energy from daughter nuclides and any losses from escaping rays.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
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