Chapter 24
Chemistry Matter and Change · 85 exercises
Problem 1
A List the different types of radiation and their charges
3 step solution
Problem 3
Explain how you know whether the reaction is chemical or nuclear when an atom undergoes a reaction and attains a more-stable form.
4 step solution
Problem 4
Calculate Table 24.2 gives approximate energy values in units of MeV. Convert each value into joules using the following conversion factor \(1 \mathrm{MeV}=1.6 \times 10^{-13} \mathrm{J}\)
4 step solution
Problem 6
Write a balanced nuclear equation for the reaction in which oxygen-15 undergoes positron emission.
2 step solution
Problem 7
Thorium-229 is used to increase the lifetime of fluorescent bulbs. What type of decay occurs when thorium-229 decays to form radium-225?
4 step solution
Problem 9
Bandages can be sterilized by exposure to gamma radiation from cobalt-60, which has a half-life of 5.27 y. How much of a 10.0-mg sample of cobalt-60 is left after one half-life? Two half-lives? Three half-lives?
5 step solution
Problem 10
If the passing of five half-lives leaves 25.0 mg of a strontium-90 sample, how much was present in the beginning?
5 step solution
Problem 12
A Describe what happens to unstable nuclei.
5 step solution
Problem 13
Explain how you can predict whether or not an isotope is likely to be stable if you know its number of neutrons and protons.
4 step solution
Problem 14
Describe the forces acting on the particles within a nucleus and explain why neutrons are the glue holding the nucleus together.
4 step solution
Problem 15
Predict the nuclear equation for the alpha decay of radium-226 used on the tips of older lightning rods.
3 step solution
Problem 16
Calculate how much of a 10.0-g sample of americium-241 remains after four half-lives. Americium-241 is a radioisotope commonly used in smoke detectors and has a half-life of 430 y.
3 step solution
Problem 17
Calculate After 2.00 y, 1.986 g of a radioisotope remains from a sample that had an original mass of 2.000 \(\mathrm{g}\) . a. Calculate the half-life. b. How much of the radioisotope remains after 10.00 y?
4 step solution
Problem 18
Graph A sample of polonium-214 originally has a mass of 1.0 g. Express the mass remaining as a percent of the original sample after a period of one, two, and three half-lives. Graph the percent remaining versus the number of half- lives. Approximately how much time has elapsed when 20% of the original sample remain?
4 step solution
Problem 19
Write the balanced nuclear equation for the induced transmutation of aluminum-27 into sodium-24 by neutron bombardment. An alpha particle is released in the reaction.
3 step solution
Problem 20
Write the balanced nuclear equation for the alpha-particle bombardment of \(_{94}^{239} \mathrm{Pu}\) . One of the reaction products is a neutron.
5 step solution
Problem 22
Compare and contrast nuclear fission and nuclear fusion reactions. Describe the particles that are involved in each type of reaction and the changes they undergo.
4 step solution
Problem 23
Describe the process that occurs during a nuclear chain reaction and explain how to monitor a chain reaction in a nuclear reactor.
4 step solution
Problem 24
Explain how nuclear fission can be used to generate electric power.
6 step solution
Problem 25
Formulate an argument supporting or opposing nuclear power as your state’s primary power source. Assume the primary source of power currently is the burning of fossil fuels.
5 step solution
Problem 26
Calculate What is the energy change \((\Delta E)\) associated with a change in mass \((\Delta m)\) of 1.00 \(\mathrm{mg}\) ?
3 step solution
Problem 28
Explain one way in which nuclear chemistry is used to diagnose or treat disease.
5 step solution
Problem 29
Describe several methods used to detect and measure radiation.
4 step solution
Problem 30
Compare and contrast somatic and genetic biological damage
4 step solution
Problem 31
Explain why it is safe to use radioisotopes to diagnose medical problems
3 step solution
Problem 32
Calculate A lab worker receives an average radiation dose of 21 mrem each month. Her allowed dose is 5,000 mrem/y. On average, what fraction of her yearly dose does she receive?
3 step solution
Problem 34
Compare and contrast chemical reactions and nuclear reactions in terms of energy changes and the particles involved.
7 step solution
Problem 35
Match each numbered choice on the right with the correct radiation type on the left $$ \begin{array}{ll}{\text { a. alpha }} & {\text { 1. high-speed electrons }} \\\ {\text { b. beta }} & {\text { 2. } 2+\text { charge, blocked easily }} \\\ {\text { c. gamma }} & {\text { 3. no charge, electromagnetic radiation }}\end{array} $$
4 step solution
Problem 37
What is the difference between X rays and gamma rays?
4 step solution
Problem 38
Dental crown Uranium-234 is used to make dental crowns appear brighter. The alpha decay of uranium234 produces what isotope?
4 step solution
Problem 39
Detecting Material Flaws Flaws in welded metal parts of airplanes can be identified by placing the isotope iridium-192 on one side of the weld and photographic film on the other side to detect gamma rays that pass through. How does the gamma ray emission affect the atomic number and mass number of the iridium?
3 step solution
Problem 40
Colored Glass Thorium-230 can be used to provide coloring in glass objects. One method of producing thorium-230 is through the radioactive decay of actinium-230. Is this an example of alpha decay or beta decay? How do you know?
5 step solution
Problem 41
Plastic Bags Thin sheets of plastic are used to make items such as grocery bags. The sheets move under a source of promethium-147, emitting beta particles. The radiation intensity, measured under the plastic sheets, is used to monitor the thickness of the plastic. During this process, promethium changes into which element?
5 step solution
Problem 42
What is the strong nuclear force? On which particles does it act?
4 step solution
Problem 43
Explain the difference between positron emission and electron capture.
3 step solution
Problem 45
What is the significance of the band of stability?
5 step solution
Problem 46
What is a radioactive decay series? When does it end?
4 step solution
Problem 47
Radioisotopes What are the factors that determine the amount of a given radioisotope in nature?
5 step solution
Problem 49
Carbon-14 Dating Carbon-14 dating makes use of a specific ratio of two different radioisotopes. Define the ratio used in carbon-14 4 dating. Why is this ratio constant in living organisms?
4 step solution
Problem 50
Calculate the neutron-to-proton ratio for each atom a. \(\operatorname{tin}-134\) b. silver-107 c. carbon- 12 d. carbon- 14
3 step solution
Problem 51
Complete the following equations. $$a.\quad_{83}^{214} \mathrm{Bi} \rightarrow_{2}^{4} \mathrm{He}+?$$ $$b.\quad_{93}^{239} \mathrm{Np} \rightarrow_{94}^{239} \mathrm{Pu}+?$$
14 step solution
Problem 52
Write a balanced nuclear equation for the alpha decay of americium-241.
5 step solution
Problem 53
Write a balanced nuclear equation for the beta decay of cesium-137.
5 step solution
Problem 54
Bone Formation The electron capture of strontium-85 can be used by physicians to study bone formation. Write a balanced nuclear equation for this reaction.
4 step solution
Problem 55
Nuclear mishap The half-life of tritium \(\left(_{1}^{3} \mathrm{H}\right)\) is 12.3 \(\mathrm{y}\) If 48.0 \(\mathrm{mg}\) of tritium is released from a nuclear power plant during the course of a mishap, what mass of the nuclide will remain after 49.2 \(\mathrm{y} ?\) After 98.4 \(\mathrm{y} ?\)
3 step solution
Problem 56
Static Charge Static charge can interfere with the production of plastic products by attracting dust and dirt. To reduce it, manufacturers expose the area to polonium-210, which has a half-life of 138 days. How much of a 25.0-g sample will remain after one year (365 days)?
2 step solution
Problem 57
The half-life of polonium-218 is 3.0 min. If you start with 20.0 g, how long will it be before only 1.0 g remains?
4 step solution
Problem 58
An unknown radioisotope exhibits 8540 decays per second. After 350.0 min, the number of decays has decreased to 1250 per second. What is the half-life?
6 step solution
Problem 59
Define transmutation. Are all nuclear reactions also transmutation reactions? Explain.
4 step solution
Problem 62
What is a chain reaction? Give an example of a nuclear chain reaction.
5 step solution