University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 10, Problem 36P
A sample of pure carbon-14 (
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A sample of wood from an Egyptian mummy case taken from an archaeological site is subjected to radiocarbon dating. The activity due to 14C has a specific activity of 10.41 d/min.g. The activity of a carbon sample of equal mass from fresh wood is 16.3 d/m.g. How old is the case?
1.The half life of radium - 226 isn1. 8×10^3 years.
a. What is the activity in Curries of 3.00 g sample of Ra-226?
b. What is the mass in grams of a sample of Ra-226 that has an activity of 1.30×10^9 atoms /min.
E. The radioactive isotope Gold-198 has a half-life of 64.80 hrs. A sample
containing this isotope has an initial activity of 40.0 µCi. Calculate the number
of nuclei that will decay in the time interval from 10 hrs to 12 hrs.
Chapter 10 Solutions
University Physics Volume 3
Ch. 10 - Check Your Understanding Nucleus X is two times...Ch. 10 - Check Your Understanding If the binding energy per...Ch. 10 - Check Your Understanding A radioactive nuclide has...Ch. 10 - Check Your Understanding In radioactive beta...Ch. 10 - Check Your Understanding Which has a larger energy...Ch. 10 - Check Your Understanding Where does the energy...Ch. 10 - Check Your Understanding Radiation propagates in...Ch. 10 - Define and make clear distinctions between the...Ch. 10 - What are isotopes? Why do isotopes of the same...Ch. 10 - Explain why a bound system should have less mass...
Ch. 10 - Why is the number of neutrons greater than the...Ch. 10 - To obtain the most precise value of the binding...Ch. 10 - How is the initial activity rate of a radioactive...Ch. 10 - For the carbon dating described in this chapter,...Ch. 10 - What is the key difference and the key similarity...Ch. 10 - What is the difference between rays and...Ch. 10 - What characteristics of radioactivity show it to...Ch. 10 - Consider Figure 10.12. If the magnetic field is...Ch. 10 - Why is Earth’s core molten?Ch. 10 - Should an atomic bomb really be called nuclear...Ch. 10 - Why does a chain reaction occur dining a fission...Ch. 10 - In what way is ail atomic nucleus like a liquid...Ch. 10 - Explain the difference between nuclear fission and...Ch. 10 - Why does the fusion of light nuclei into heavier...Ch. 10 - IB. Wliv is a PET scan more accurate than a SPECT...Ch. 10 - Isotopes that emit a radiation are relatively safe...Ch. 10 - Ionizing radiation can impair the ability of a...Ch. 10 - Find the atomic numbers, mass numbers, and neutron...Ch. 10 - Silver has two stable isotopes. The nucleus,...Ch. 10 - The mass (M) and the radius (r) of a nucleus can...Ch. 10 - A particle has a mass equal to 10 u. If this mass...Ch. 10 - Find the length of a side of a cube having a mass...Ch. 10 - The detail that you can observe using a probe is...Ch. 10 - How much energy would be released if six hydrogen...Ch. 10 - Find the mass defect and the binding energy for...Ch. 10 - 56 Fe is among the most tightly bound of all...Ch. 10 - is the heaviest stable nuclide, and its BEN is low...Ch. 10 - (a) Calculate BEN for 235U, the rarer of the two...Ch. 10 - The fact that BEN peaks at roughly A = 60 implies...Ch. 10 - A sample of radioactive material is obtained from...Ch. 10 - Show that: T=1.Ch. 10 - The half-life of strondum-91, 3891Sris 9.70 h....Ch. 10 - A sample of pure carbon-14 ( T1/2=5730y ) has an...Ch. 10 - A radioactive sample initially contains 2.40102...Ch. 10 - An old campfire is uncovered during an...Ch. 10 - Calculate the activity R , in curies of 1.00 g of...Ch. 10 - Natural uranium consists of 235U(percent abundance...Ch. 10 - World War II aircraft bad instruments with glowing...Ch. 10 - , The 210Po source used in a physics laboratory is...Ch. 10 - Armor-piercing shells with depleted uranium cores...Ch. 10 - undergoes alpha decay, (a) Write the reaction...Ch. 10 - (a) Calculate the energy released in the a decay...Ch. 10 - The particles emitted in the decay of 3H (tritium)...Ch. 10 - (a) Write the complete decay equation for 90Sr, a...Ch. 10 - Write a nuclear decay reaction that produces the...Ch. 10 - Write the complete decay equation in the complete...Ch. 10 - If a 1.50-cm-thick piece of lead can absorb 90.0%...Ch. 10 - An electron can interact with a nucleus through...Ch. 10 - (a) Write the complete reaction equation for...Ch. 10 - A rare decay mode has been observed in which...Ch. 10 - A large power reactor that has been in operation...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - (a) Calculate the energy released in the neutron-...Ch. 10 - The electrical power output of a large nuclear...Ch. 10 - Find the total energy released if 1.00 kg of...Ch. 10 - Verify that the total number of nucleons, and...Ch. 10 - Calculate the energy output in each of the fusion...Ch. 10 - Show that the total energy released in the proton-...Ch. 10 - Two fusion reactions mentioned in the text are...Ch. 10 - The power output of the Sun is 41026 W. (a) If 90%...Ch. 10 - Another set of reactions that fuses hydrogen into...Ch. 10 - (a) Calculate the energy released by the fusion of...Ch. 10 - What is the dose in mSv for: (a) a 0.1-Gy X-ray?...Ch. 10 - Find the radiation dose in Gy for: (a) A 10-mSv...Ch. 10 - Find the mass of 239Puthat has an activity of...Ch. 10 - In the 19805, the term picowave was used to...Ch. 10 - What is the dose in Sv in a cancer treatment that...Ch. 10 - One half the rays from 99mTcare absorbed by a...Ch. 10 - How many Gy of exposure is needed to give a...Ch. 10 - A plumber at a nuclear power plant receives a...Ch. 10 - Calculate the dose in rem/y for the lungs of a...Ch. 10 - The wiki-phony site states that the atomic mass of...Ch. 10 - A particle physicist discovers a neutral particle...Ch. 10 - A nuclear physicist finds 1.0of 236Uin a piece of...Ch. 10 - A group of scientists use carbon dating to date a...Ch. 10 - According to your lab partner, a 2.00-cm-thick...Ch. 10 - In the science section of the newspaper, an...Ch. 10 - The ceramic glaze on a red-orange “Fiestaware”...Ch. 10 - Large amounts of depleted uranium (238U)are...Ch. 10 - A piece of wood from an ancient Egyptian tomb is...Ch. 10 - This problem demonstrates that the binding energy...Ch. 10 - The Galileo space probe was launched on its long...Ch. 10 - Find the energy emitted in the decay of 60Co .Ch. 10 - Engineers are frequently called on to inspect and,...Ch. 10 - If two nuclei are to fuse in a nuclear reaction,...Ch. 10 - For the reaction, sw n+3He4He+ , find the amount...Ch. 10 - Engineers are frequently called on to inspect and,...
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- (a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forward(a) Calculate the number of grams of deuterium in an 80.000L swimming pool, given deuterium is 0.0150% of natural hydrogen. (b) Find the energy released in joules if this deuterium is fused via the reaction 2H+2H3He+n. (c) Could the neutrons be used to create more energy? (d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant.arrow_forwardHow many kilograms of water are needed to obtain the 198.8 mol of deuterium, assuming that deuterium is 0.01500% (by number) of natural hydrogen?arrow_forward
- (a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forwardThe atomic weight of cadmium is 112.41, and its density is 8.65 g/cm3. Using Figure 14.3, estimate the attenuation distance of a thermal neutron beam in cadmium. (The attenuation distance is the distance traveled after which the intensity of the beam is reduced to 1/e of its initial value, where e is the base of the natural logarithms.)arrow_forwardUnreasonable Results The relatively scarce naturally occurring calcium isotope 48Ca has a halflife at about 21016y. (a) A small sample of this isotope is labeled as having an activity of 1.0 Ci. What is the mass of the 48Ca in the sample? (b) What is unreasonable about this result? (c) What assumption is responsible?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_forwardData from the appendices and the periodic table may be needed for these problems. Unreasonable Results (a) Repeat Exercise 31.57 but include the 0.0055% natural abundance of 234U with its 2.45105y halflife. (b) What is unreasonable about this result? (c) What assumption is responsible? (d) Where does the 234U come from if it is not primordial?arrow_forward(a) An aspiring physicist wants to build a scale model of a hydrogen atom for her science fair project. If the atom is 1.00 m in diameter, how big should she try to make the nucleus? (b) How easy will this be to do?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_forwardNeutrons from a source (perhaps the one discussed in the preceding problem) bombard natural molybdenum, which is 24 percent 98Mo. What is the energy output of the reaction 98Mo+n99Mo+ ? The mass of 98MB is given in Appendix A: Atomic Masses, and that of 99Mo is 98.907711 u.arrow_forwardWhat is the mass of 60Co in a cancer therapy transillumination unit containing 5.00 kCi of 60Co?arrow_forward
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