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Introduction to General, Organic and Biochemistry

Frederick A. Bettelheim, William H. Brown, Mary K. Campbell

Chapter 9

Nuclear Chemistry - all with Video Answers

Educators


Chapter Questions

01:11

Problem 1

Iodine-139 is a beta emitter. Write an equation for this nuclear reaction and identify the product formed.

David Collins
David Collins
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01:19

Problem 2

Thorium- 223 is an alpha emitter. Write an equation for this nuclear reaction and identify the product formed.

David Collins
David Collins
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01:05

Problem 3

Arsenic-74 is a positron emitter used in locating brain tumors. Write an equation for this nuclear reaction and identify the product.

David Collins
David Collins
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01:14

Problem 4

Thallium-201, a radioisotope used to evaluate heart function in exercise stress tests, decays by electron capture and gamma emission. Write an equation for this nuclear decay and identify the product.

David Collins
David Collins
Numerade Educator
01:24

Problem 5

Barium-122 has a half-life of 2 minutes. Suppose you obtained a sample weighing $10.0 \mathrm{g}$ and it takes 10 minutes to set up an experiment in which the barium-122 is to be used. How many grams of barium-122 will remain at the point when you begin the experiment?

David Collins
David Collins
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01:10

Problem 6

A radioactive isotope in a 9.0 -mL vial has an intensity of $300 .$ mCi. A patient is required to take $50 .$ mCi intravenously. How much liquid should be used for the injection?

David Collins
David Collins
Numerade Educator
01:04

Problem 7

A radioactive isotope in a 9.0 -mL vial has an intensity of $300 .$ mCi. A patient is required to take $50 .$ mCi intravenously. How much liquid should be used for the injection?

David Collins
David Collins
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01:33

Problem 8

What is the relationship between frequency and wavelength? frequency and energy? wavelength and energy?

Rithvik Manne
Rithvik Manne
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00:43

Problem 9

What is the difference between an alpha particle and a proton?

Rithvik Manne
Rithvik Manne
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01:43

Problem 10

Microwaves are a form of electromagnetic radiation that is used for the rapid heating of foods. What is the frequency of a microwave with a wavelength of $5.8 \mathrm{cm} ?$

Rithvik Manne
Rithvik Manne
Numerade Educator
05:19

Problem 11

In each case, given the frequency, give the wavelength in centimeters or nanometers and tell what kind of radiation it is.
(a) $7.5 \times 10^{14} / \mathrm{s}$
(b) $1.0 \times 10^{10} / \mathrm{s}$
(c) $1.1 \times 10^{15} / \mathrm{s}$
(d) $1.5 \times 10^{18} / \mathrm{s}$

Rithvik Manne
Rithvik Manne
Numerade Educator
02:06

Problem 12

Red light has a wavelength of $650 \mathrm{nm}$. What is its frequency?

Rithvik Manne
Rithvik Manne
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01:22

Problem 13

Which has the longest wavelength: (a) infrared,
(b) ultraviolet, or
(c) X-rays? Which has the highest energy?

Rithvik Manne
Rithvik Manne
Numerade Educator
01:32

Problem 14

Write the symbol for a nucleus with the following components:
(a) 9 protons and 10 neutrons
(b) 15 protons and 17 neutrons
(c) 37 protons and 50 neutrons

Hailey Tomashek
Hailey Tomashek
Numerade Educator
01:30

Problem 15

In each pair, tell which isotope is more likely to be radioactive:
(a) Nitrogen-14 and nitrogen-13
(b) Phosphorus-31 and phosphorus-33
(c) Lithium- 7 and lithium- 9
(d) Calcium-39 and calcium-40

Rithvik Manne
Rithvik Manne
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00:30

Problem 16

Which isotope of boron is the most stable: boron- 8 boron-10, or boron-12?

Rithvik Manne
Rithvik Manne
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00:19

Problem 17

Which isotope of oxygen is the most stable:
oxygen-14, oxygen-16, or oxygen-18?

Rithvik Manne
Rithvik Manne
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12:14

Problem 18

Answer true or false.
(a) The majority (greater than $50 \%$ ) of the more than 300 naturally occurring isotopes are stable.
(b) More artificial isotopes have been created in the laboratory than there are naturally occurring stable isotopes.
(c) All artificial isotopes created in the laboratory are radioactive.
(d) The terms "beta particle," "beta emission," and "beta ray" all refer to the same type of radiation.
(e) When balancing a nuclear equation, the sum of the mass numbers and the sum of the atomic numbers on each side of the equation must be the same.
(f) The symbol of a beta particle is $_{-1}^{0} \beta$
(g) When a nucleus emits a beta particle, the new nucleus has the same mass number but an atomic number one unit higher.
(h) When iron-59 $\left(\frac{59}{26} \mathrm{Fe}\right)$ emits a beta particle, it is converted to cobalt- $59\left(\frac{59}{27} \mathrm{Co}\right)$
(i) When a nucleus emits a beta particle, it first captures an electron from outside the nucleus and then emits it.
(j) For the purposes of determining atomic numbers in a nuclear equation, an electron is assumed to have a mass number of zero and an atomic number of -1
(k) The symbol for an alpha particle is $_{2}^{4} \mathrm{He}$
(1) When a nucleus emits an alpha particle, the new nucleus has an atomic number two units higher and a mass number four units higher.
(m) When uranium- $238\left(^{238} \mathrm{U}\right)$ undergoes alpha emission, the new nucleus is thorium- $234\left(\frac{234}{90} \mathrm{Th}\right)$
(n) The symbol of a positron is $+1 \beta$
(o) A positron is sometimes referred to as a positive electron.
(p) When a nucleus emits a positron, the new nucleus has the same mass number but an atomic number one unit lower.
(q) When carbon-11 $\left(\frac{11}{6} \mathrm{C}\right)$ emits a positron, the new nucleus formed is boron-11 $\left(_{5}^{11} \mathrm{B}\right)$
(r) Alpha emission and positron emission both result in the formation of a new nucleus with a lower atomic number.
(s) The symbol for gamma radiation is $\gamma$
(t) When a nucleus emits gamma radiation, the new nucleus formed has the same mass number and the same atomic number.
(u) When a nucleus captures an extranuclear electron, the new nucleus formed has the same atomic number but a mass number one unit lower.
(v) When gallium-67 $\left(\begin{array}{l}67 \\ 31\end{array}\right)$ undergoes electron capture, the new nucleus formed is germanium-67 $\left(_{32}^{67} \mathrm{Ge}\right)$

David Collins
David Collins
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01:09

Problem 19

Samarium-151 is a beta emitter. Write an equation for this nuclear reaction and identify the product nucleus.

Rithvik Manne
Rithvik Manne
Numerade Educator
01:24

Problem 20

The following nuclei turn into new nuclei by emitting beta particles. Write an equation for each nuclear reaction and identify the product nucleus.
(a) $^{159} 63 \mathrm{E}$
(b) 141
56
(c) 242
95

David Collins
David Collins
Numerade Educator
01:04

Problem 21

Chromium-51 is used in diagnosing the pathology of the spleen. The nucleus of this isotope captures an electron according to the following equation. What is the transmutation product?
\[
\frac{51}{24} \mathrm{Cr}+_{-1}^{0} \longrightarrow ?
\]

David Collins
David Collins
Numerade Educator
01:24

Problem 22

The following nuclei decay by emitting alpha particles. Write an equation for each nuclear reaction and identify the product nucleus.
(a) 210
83
(b) $\frac{238}{94} \mathrm{Pu}$
(c) 174
72 $\mathrm{Hf}$

David Collins
David Collins
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01:27

Problem 23

Curium-248 was bombarded, yielding antimony-116 and cesium-160. What was the bombarding nucleus?

David Collins
David Collins
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01:16

Problem 24

Phosphorus- 29 is a positron emitter. Write an equation for this nuclear reaction and identify the product nucleus.

Ronald Prasad
Ronald Prasad
Numerade Educator
01:40

Problem 25

For each of the following, write a balanced nuclear equation and identify the radiation emitted.
(a) Beryllium-10 changes to boron-10
(b) Europium-151" changes to europium-151
(c) Thallium-195 changes to mercury-195
(d) Plutonium-239 changes to uranium-235

David Collins
David Collins
Numerade Educator
01:39

Problem 26

In the first three steps in the decay of uranium- 238 the following isotopic species appear: uranium-238 decays to thorium, which then decays to protactinium-234, which then decays to uranium-234. What kind of emission occurs in each step?

David Collins
David Collins
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01:18

Problem 27

What kind of emission does not result in transmutation?

David Collins
David Collins
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02:22

Problem 28

Complete the following nuclear reactions
(a) $\frac{16}{8} \mathrm{O}+_{8}^{16} \mathrm{O} \longrightarrow ?+_{2}^{4} \mathrm{He}$
$(c)^{13} C+\frac{4}{2} H e \longrightarrow^{16} S+?$
(d) $^{210}_{83} \mathrm{Bi} \longrightarrow ?+_{-1}^{0}$
(e) $^{12} \mathrm{C}+_{1}^{1} \mathrm{H} \longrightarrow ?+\gamma$

David Collins
David Collins
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01:45

Problem 29

Americium-240 is made by bombarding plutonium-239 with $\alpha$ particles. In addition to americium- $240,$ a proton and two neutrons are also formed. Write a balanced equation for this nuclear reaction.

David Collins
David Collins
Numerade Educator
01:55

Problem 30

Answer true or false.
(a) Half-life is the time it takes one-half of a radioactive sample to decay.
(b) The concept of half-life refers to nuclei undergoing alpha, beta, and positron emission; it does not apply to nuclei undergoing gamma emission.
(c) At the end of two half-lives, one-half of the original radioactive sample remains; at the end of three half-lives, one-third of the original sample remains.
(d) If the half-life of a particular radioactive sample is 12 minutes, a time of 36 minutes represents three half-lives.
(e) At the end of three half-lives, only $12.5 \%$ of an original radioactive sample remains.

David Collins
David Collins
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01:07

Problem 31

Iodine-125 emits gamma rays and has a half-life of 60 days. If a 20 -mg pellet of iodine- 125 is implanted into a prostate gland, how much iodine-125 remains there after one year?

David Collins
David Collins
Numerade Educator
01:14

Problem 32

Polonium- 218 , a decay product of radon- 222 (see Chemical Connections $9 \mathrm{B}$ ), has a half-life of $3 \mathrm{min}$. What percentage of the polonium- 218 formed will remain in the lung 9 min after inhalation?

David Collins
David Collins
Numerade Educator
01:07

Problem 33

A rock containing $1 \mathrm{mg}$ of plutonium- 239 per $\mathrm{kg}$ of rock is found in a glacier. The half-life of plutonium-239 is 25,000 years. If this rock was deposited 100,000 years ago during an ice age, how much plutonium-239 per kilogram of rock was in the rock at that time?

David Collins
David Collins
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01:13

Problem 34

The element radium is extremely radioactive. If you converted a piece of radium metal to radium chloride (with the weight of the radium remaining the same), would it become less radioactive?

David Collins
David Collins
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03:22

Problem 35

In what ways can we increase the rate of radioactive decay? Decrease it?

Colton Wang
Colton Wang
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01:05

Problem 36

Suppose $50.0 \mathrm{mg}$ of potassium- $45,$ a beta emitter was isolated in pure form. After one hour, only 3.1 mg of the radioactive material was left. What is the half-life of potassium- $45 ?$

David Collins
David Collins
Numerade Educator
02:00

Problem 37

A patient receives $200 \mathrm{mCi}$ of iodine- 131 , which has
a half-life of eight days.
(a) If $12 \%$ of this amount is taken up by the thyroid gland after two hours, what will be the activity of the thyroid after two hours, in millicuries and in counts per minute?
(b) After 24 days, how much activity will remain in the thyroid gland?

David Collins
David Collins
Numerade Educator
07:02

Problem 38

Answer true or false.
(a) Ionizing radiation refers to any radiation that interacts with neutral atoms or molecules to create positive ions.
(b) Ionizing radiation creates positive ions by striking a nucleus and knocking one or more electrons from the nucleus.
(c) Ionizing radiation creates positive ions by knocking one or more extranuclear electrons from a neutral atom or molecule.
(d) The curie (Ci) and becquerel (Bq) are both units by which we report radiation intensity.
(e) The units of a curie (Ci) are disintegrations per second (dps).
(f) A microcurie $(\mu \mathrm{Ci})$ is a smaller unit than a curie (Ci).
(g) The intensity of radiation is inversely related to the square of the distance from the radiation source; for example, the intensity at three meters from the source is $1 / 9$ of what it is at the source.
(h) Alpha particles are the most massive and highly charged type of nuclear radiation and, therefore, are the most penetrating type of nuclear radiation.
(i) Beta particles have both a smaller mass and a smaller charge than alpha particles and, therefore, are more penetrating than alpha particles.
(j) Gamma rays, with neither mass nor charge, are the least penetrating type of nuclear radiation.
(k) After one half-life, the mass of a radioactive sample remaining is approximately $50 \%$ of the original mass.

David Collins
David Collins
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03:35

Problem 40

What do Geiger-Müller counters measure: (a) the intensity or (b) the energy of radiation?

Colton Wang
Colton Wang
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01:17

Problem 41

It is known that radioactivity is being emitted with an intensity of $175 \mathrm{mCi}$ at a distance of $1.0 \mathrm{m}$ from the source. How far in meters from the source should you stand if you wish to be subjected to no more than $0.20 \mathrm{mCi} ?$

David Collins
David Collins
Numerade Educator
01:08

Problem 42

Briefly contrast the three different units used to describe the effects of radiation on the body.

David Collins
David Collins
Numerade Educator
00:39

Problem 43

Does a curie (Ci) measure radiation intensity or energy?

Rithvik Manne
Rithvik Manne
Numerade Educator
01:33

Problem 44

What property is measured with each of the following terms?
(a) Rad
(b) Rem
(c) Roentgen
(d) Curie
(e) Gray
(f) Becquerel
(g) Sievert

David Collins
David Collins
Numerade Educator
01:15

Problem 45

A radioactive isotope with an activity (intensity) of $80.0 \mathrm{mCi}$ per vial is delivered to a hospital. The vial contains 7.0 cc of liquid. The instruction is to administer $7.2 \mathrm{mCi}$ intravenously. How many cubic centimeters of liquid should be used for one injection?

David Collins
David Collins
Numerade Educator
03:22

Problem 46

Why does exposure of a hand to alpha rays not cause serious damage to the person, whereas entry of an alpha emitter into the lung as an aerosol produces very serious damage to the person's health?

Colton Wang
Colton Wang
Numerade Educator
01:08

Problem 47

A certain radioisotope has an intensity of $10^{6} \mathrm{Bq}$ at 1-cm distance from the source. What would be the intensity at $20 \mathrm{cm} ?$ Give your answer in both $\mathrm{Bq}$ and $\mu \mathrm{Ci}$ units.

David Collins
David Collins
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01:05

Problem 48

Assuming the same amount of absorbed radiation, in rads from three sources, which would be the most damaging to the tissues: alpha particles, beta particles, or gamma rays?

David Collins
David Collins
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02:39

Problem 49

In an accident involving radioactive exposure, person A received 3.0 Sv while person B received 0.50 mrem exposure. Who was hurt more seriously?

Colton Wang
Colton Wang
Numerade Educator
07:13

Problem 50

Answer true or false.
(a) Of the radioisotopes listed in Table $9-5,$ the majority decay by beta emission.
(b) Isotopes that decay by alpha emission are rarely if ever used in nuclear imaging because alpha emitters are rare.
(c) Gamma emitters are so widely used in medical imaging because gamma radiation is penetrating and, therefore, can easily be measured by radiation detectors outside the body.
(d) When selenium-75 ( $_{34}^{\text {75 }}$ Se ) decays by electron capture and gamma emission, the new nucleus formed is arsenic- $75\left(\begin{array}{c}75 \\ 34\end{array}\right)$
(e) When iodine-131 $\left(\frac{131}{53} \mathrm{I}\right)$ decays by beta and gamma emission, the new nucleus formed is xenon-131 $\left(\begin{array}{c}131 \\ 54\end{array}\right)$
(f) In positron emission tomography (a PET scan), the detector counts the number of positrons emitted by a tagged material and the location within the body where the tagged material accumulates.
(g) The use of 18 -fluorodeoxyglucose (FDG) in PET scans of the brain depends on the fact that FDG behaves in the body as does glucose.
(h) A goal of radiation therapy is to destroy pathological cells and tissues without at the same time damaging normal cells and tissues.
(i) In external beam radiation, radiation from an external source is directed at a tissue either on the surface of the body or within the body.
(j) In internal beam radiation, a radioactive material is implanted in a target tissue to destroy cells in the target tissue without doing appreciable damage to surrounding normal tissues.

David Collins
David Collins
Numerade Educator
01:12

Problem 51

In $1986,$ the nuclear reactor in Chernobyl had an accident and spewed radioactive nuclei that were carried by the winds for hundreds of miles. Today, among the child survivors of the event, the most common damage is thyroid cancer. What radioactive nucleus do you expect to be responsible for these cancers?

David Collins
David Collins
Numerade Educator
01:14

Problem 52

Cobalt- $60,$ with a half-life of 5.26 years, is used in cancer therapy. The energy of the radiation from cobalt- 62 is even higher (half-life $=14$ minutes). Why isn't cobalt- 62 also used for cancer therapy?

David Collins
David Collins
Numerade Educator
01:18

Problem 53

Match the radioactive isotope with its proper use:
(a) Cobalt- 60
(b) Thallium-201
(c) Tritium
(d) Mercury-197
1. Heart scan during exercise
2. Measure water content of body
3. Kidney scan
4. Cancer therapy

Hailey Tomashek
Hailey Tomashek
Numerade Educator
04:51

Problem 54

Answer true or false.
(a) In nuclear fusion, two nuclei combine to form a new nucleus.
(b) The energy of the sun is derived from the fusion of two hydrogen-1 $\left(_{1}^{1} \mathrm{H}\right)$ nuclei to form a helium- 4 $\left(_{2}^{4} \mathrm{He}\right)$ nucleus.
(c) The energy of the sun occurs because once two hydrogen nuclei fuse, the two positive charges no longer repel each other
(d) Fusion of hydrogen nuclei in the sun results in a small decrease in mass, which appears as an equivalent amount of energy.
(e) Einstein's famous $E=m c^{2}$ equation refers to the energy released when two particles of the same mass collide with the speed of light.
(f) Nuclear fusion occurs only in the sun.
(g) Nuclear fusion can be carried out and controlled in the laboratory.

David Collins
David Collins
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03:13

Problem 55

What are the products of the fusion of hydrogen- 2 and hydrogen-3 nuclei?

Colton Wang
Colton Wang
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01:30

Problem 56

Assuming that one proton and two neutrons will be produced in an alpha-bombardment fusion reaction, what target nucleus would you use to obtain berkelium-249?

David Collins
David Collins
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01:41

Problem 57

Element 109 was first prepared in $1982 .$ A single atom of this element $\left(_{109}^{266} \mathrm{Mt}\right),$ with a mass number of $266,$ was made by bombarding a bismuth-209 nucleus with an iron-58 nucleus. What other products, if any, must have been formed besides $_{109}^{266} \mathrm{Mt}$ ?

David Collins
David Collins
Numerade Educator
01:19

Problem 58

A new element was formed when lead- 208 was bombarded by krypton- $86 .$ One could detect four neutrons as the product of the fusion. Identify the new element.

David Collins
David Collins
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04:12

Problem 59

Boron-10 is used in control rods for nuclear reactors. This nucleus absorbs a neutron and then emits an alpha particle. Write an equation for each nuclear reaction and identify each product nucleus.

Colton Wang
Colton Wang
Numerade Educator
05:51

Problem 60

The most abundant isotope of uranium, $238 \mathrm{U}$, does not undergo fission. Instead, it captures a neutron and emits two $\beta$ particles to make a fissionable isotope of plutonium, which can then be used as fuel in a nuclear reactor. Write an equation for the nuclear reaction and identify the product nucleus.

Colton Wang
Colton Wang
Numerade Educator
01:46

Problem 61

(Chemical Connections $9 \mathrm{A}$ ) Why is it accurate to assume that the carbon- 14 to carbon-12 ratio in a living plant is constant over the lifetime of the plant?

David Collins
David Collins
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01:14

Problem 62

(Chemical Connections $9 \mathrm{A}$ ) In a recent archeological dig in the Amazon region of Brazil, charcoal paintings were found in a cave. The carbon-14 content of the charcoal was one-fourth of what is found in charcoal prepared from that year's tree harvest. How long ago was the cave settled?

David Collins
David Collins
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01:12

Problem 63

(Chemical Connections $9 \mathrm{A}$ ) Carbon-14 dating of the Shroud of Turin indicated that the plant from which the shroud was made was alive around AD $1350 .$ To how many half-lives does this time period correspond?

David Collins
David Collins
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01:27

Problem 64

(Chemical Connections $9 \mathrm{A}$ ) The half-life of carbon-14 is 5730 years. The wrapping of an Egyptian mummy gave off 7.5 counts per minute per gram of carbon. A piece of linen purchased today would give an activity of 15 counts per minute per gram of carbon. How old is the mummy?

David Collins
David Collins
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02:26

Problem 65

(Chemical Connections $9 \mathrm{B}$ ) How does radon- 222 produce polonium-218?

Colton Wang
Colton Wang
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01:50

Problem 66

(Chemical Connections $9 \mathrm{C}$ ) Why is high-energy radiation exposure of water in the body dangerous to rapidly dividing cells?

David Collins
David Collins
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01:13

Problem 67

(Chemical Connections 9 D) How is the presence of the hydrogen atom in the body used in MRI?

David Collins
David Collins
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01:21

Problem 68

(Chemical Connections $9 \mathrm{E}$ ) In a nuclear accident, one of the radioactive nuclei that concerns people is iodine-131. Iodine is easily vaporized and can be carried by the winds to locations that are hundreds-even thousands- of miles away. Why is iodine-131 especially harmful?

David Collins
David Collins
Numerade Educator
01:13

Problem 69

Phosphorus- $32\left(\mathrm{t}_{\mathrm{V} 2}=14.3 \mathrm{h}\right)$ is used in the medical imaging and diagnosis of eye tumors. Suppose a patient is given $0.010 \mathrm{mg}$ of this isotope. Prepare a graph showing the mass in milligrams remaining in the patient's body after one week. (Assume that none is excreted from the body.)

David Collins
David Collins
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01:20

Problem 70

During the bombardment of argon-40 with protons, one neutron is emitted for each proton absorbed. What new element is formed?

David Collins
David Collins
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03:18

Problem 71

Neon-19 and sodium-20 are positron emitters. What products result in each case?

Colton Wang
Colton Wang
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01:07

Problem 72

The half-life of nitrogen- 16 is 7 seconds. How long does it take for $100 \mathrm{mg}$ of nitrogen- 16 to be reduced to $6.25 \mathrm{mg} ?$

Rithvik Manne
Rithvik Manne
Numerade Educator
01:03

Problem 73

Do the curie and the becquerel measure the same or different properties of radiation?

David Collins
David Collins
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01:20

Problem 74

Selenium-75 has a half-life of 120.4 days, so it would take 602 days (five half-lives) to diminish to $3 \%$ of the original quantity. Yet this isotope is used for pancreatic scans without any fear that the radioactivity will cause undue harm to the patient. Suggest a possible explanation.

David Collins
David Collins
Numerade Educator
01:32

Problem 75

Use Table $9-4$ to determine the percentage of annual radiation we receive from the following sources:
(a) Naturally occurring sources
(b) Diagnostic medical sources
(c) Nuclear power plants

David Collins
David Collins
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01:14

Problem 76

$^{225} \mathrm{Ac}$ is an alpha emitter. In its decay process, it produces three more alpha emitters in succession. Identify each of the decay products.

David Collins
David Collins
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01:04

Problem 77

Which radiation will cause more ionization, X-rays or radar?

David Collins
David Collins
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01:16

Problem 78

You have an old wristwatch that still has radium paint on its dial. Measurement of the radioactivity of the watch shows a beta-ray count of 0.50 count/s. If 1.0 microcurie of this sort of radiation produces 1000 mrem/year, how much radiation in mrem do you expect from the wristwatch if you wear it for one year?

David Collins
David Collins
Numerade Educator
01:29

Problem 79

Americium-241, which is used in some smoke detectors, has a half-life of 432 years and is an alpha emitter. What is the decay product of americium-241, and approximately what percentage of the original americium-241 will be still around after 1000 years?

David Collins
David Collins
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01:08

Problem 80

On rare occasions, a nucleus will capture a beta particle instead of emitting one. Berkelium- 246 is such a nucleus. What is the product of this nuclear transmutation?

David Collins
David Collins
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02:54

Problem 81

A patient is reported to have been irradiated by a dose of
1 sievert in a nuclear accident. Is he in mortal danger?

Colton Wang
Colton Wang
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01:20

Problem 82

What is the ground state of a nucleus?

David Collins
David Collins
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01:26

Problem 83

Explain the following:
(a) It is impossible to have a completely pure sample of any radioactive isotope.
(b) Beta emission of a radioactive isotope creates a new isotope with an atomic number one unit higher than that of the radioactive isotope.

David Collins
David Collins
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01:06

Problem 84

Yttrium- $90,$ which emits beta particles, is used in radiotherapy. What is the decay product of yttrium-90?

David Collins
David Collins
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01:35

Problem 85

The half-lives of some oxygen isotopes are as follows:
\[
\begin{array}{ll}
\text { Oxygen- } 14=71 \mathrm{s} & \text { Oxygen-15 }=124 \mathrm{s} \\
\text { Oxygen-19 }=29 \mathrm{s} & \text { Oxygen-20 }=14 \mathrm{s}
\end{array}
\]
Oxygen-16 is the stable, nonradioactive isotope. Do the half-lives indicate anything about the stability of the other oxygen isotopes?

David Collins
David Collins
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01:19

Problem 86

$^{225} \mathrm{Ac}$ is effective in prostate cancer therapy when administered at kBq levels. If an antibody tagged with $^{225} \mathrm{gg}$ c has an intensity of 2 million $\mathrm{Bq} / \mathrm{mg}$ and if a solution contains $5 \mathrm{mg} / \mathrm{L}$ tagged antibody, how many milliliters of the solution should you use for an injection to administer 1 kBq intensity?

David Collins
David Collins
Numerade Educator
01:27

Problem 87

When $_{82}^{208} \mathrm{Pb}$ is bombarded with $_{28}^{64} \mathrm{Ni}$, a new element and six neutrons are produced. Identify the new element.

David Collins
David Collins
Numerade Educator
01:33

Problem 88

Americium-241, the isotope used in smoke detectors, has a half-life of 432 years, which is sufficiently long to allow for handling it in large quantities. This isotope is prepared in the laboratory by bombarding plutonium-239 with $\alpha$ particles. In this reaction, plutonium-239 absorbs two neutrons and then decays by emission of a $\beta$ particle. Write an equation for this nuclear reaction and identify the isotope formed as an intermediate between plutonium- 239 and americium-241.

David Collins
David Collins
Numerade Educator
01:22

Problem 89

Boron-10, an effective absorber of neutrons, is used in control rods of uranium-235 fission reactors (see Figure $9-10$ ) to absorb neutrons and thereby control the rate of reaction. Boron-10 absorbs a neutron and then emits an $\alpha$ particle. Write a balanced equation for this nuclear reaction and identify the nucleus formed as an intermediate between boron-10 and the final nuclear product.

David Collins
David Collins
Numerade Educator
01:13

Problem 90

Tritium, $_{1}^{3} \mathrm{H}$, is a beta emitter widely used as a radioactive tracer in chemical and biochemical research. Tritium is prepared by the bombardment of lithium- 6 with neutrons. Complete the following nuclear equation:
$$\left\{\mathrm{Li}+\frac{1}{0} \mathrm{n} \longrightarrow \mathrm{H}+?\right.$$

David Collins
David Collins
Numerade Educator
01:44

Problem 91

Radon-222 decays to a stable nucleus by a series of three alpha and two beta decays. Determine the stable nucleus that is formed.

David Collins
David Collins
Numerade Educator
01:31

Problem 92

Neptunium-237 decays by a series of steps to bismuth-209. How many alpha and beta particles are produced by this overall decay process?

David Collins
David Collins
Numerade Educator
01:32

Problem 93

Thorium-232 decays by a 10-step process, ultimately yielding lead-208. How many alpha particles and how many beta particles are emitted?

David Collins
David Collins
Numerade Educator