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Typical doses received during diagnostic x-ray exams
Procedure Effective Dose (mSv)
Chest 0.02
Dental 0.01
Skull 0.07
Leg 0.02
Mammogram 0.40
Barium enema 7.0
Upper GI 3.0
CT head 2.0
CT abdomen 10.0

What mass of 137 Cs Escaped chernobyl?

The Chernobyl accident in Ukraine (formerly in the Soviet Union) exposed the surrounding population to a large amount of radiation through the decay of 137 Cs . The initial radioactivity level was approximately A = 6.0 MCi . Calculate the total mass of 137 Cs involved in this accident.

Strategy

The total number of nuclei, N , can be determined from the known half-life and activity of 137 Cs (30.2 y). The mass can be calculated from N using the concept of a mole.

Solution

Solving the equation A = 0.693 N t 1 / 2 for N gives

N = A t 1 / 2 0.693 .

Entering the given values yields

N = ( 6.0 MCi ) ( 30.2 y ) 0.693 .

To convert from curies to becquerels and years to seconds, we write

N = ( 6.0 × 10 6 Ci ) ( 3.7 × 10 10 Bq/Ci ) ( 30.2 y ) ( 3.16 × 10 7 s/y ) 0.693 = 3.1 × 10 26 .

One mole of a nuclide A X has a mass of A grams, so that one mole of 137 Cs has a mass of 137 g. A mole has 6.02 × 10 23 nuclei. Thus the mass of 137 Cs released was

m = ( 137 g 6.02 × 10 23 ) ( 3.1 × 10 26 ) = 70 × 10 3 g = 70 kg .

Significance

The mass of 137 Cs involved in the Chernobyl accident is a small material compared to the typical amount of fuel used in a nuclear reactor. However, approximately 250 people were admitted to local hospitals immediately after the accident, and diagnosed as suffering acute radiation syndrome. They received external radiation dosages between 1 and 16 Sv. Referring to biological effects in [link] , these dosages are extremely hazardous. The eventual death toll is estimated to be around 4000 people, primarily due to radiation-induced cancer.

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Check Your Understanding Radiation propagates in all directions from its source, much as electromagnetic radiation from a light bulb. Is activity concept more analogous to power, intensity, or brightness?

power

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Summary

  • Nuclear technology is used in medicine to locate and study diseased tissue using special drugs called radiopharmaceuticals. Radioactive tags are used to identify cancer cells in the bones, brain tumors, and Alzheimer’s disease, and to monitor the function of body organs, such as blood flow, heart muscle activity, and iodine uptake in the thyroid gland.
  • The biological effects of ionizing radiation are due to two effects it has on cells: interference with cell reproduction and destruction of cell function.
  • Common sources of radiation include that emitted by Earth due to the isotopes of uranium, thorium, and potassium; natural radiation from cosmic rays, soils, and building materials, and artificial sources from medical and dental diagnostic tests.
  • Biological effects of nuclear radiation are expressed by many different physical quantities and in many different units, including the rad or radiation dose unit.

Key equations

Atomic mass number A = Z + N
Standard format for expressing an isotope Z A X
Nuclear radius, where r 0 is the radius of a single proton r = r 0 A 1 / 3
Mass defect Δ m = Z m p + ( A Z ) m n m nuc
Binding energy E = ( Δ m ) c 2
Binding energy per nucleon B E N = E b A
Radioactive decay rate d N d t = λ N
Radioactive decay law N = N 0 e λ t
Decay constant λ = 0.693 T 1 / 2
Lifetime of a substance T = 1 λ
Activity of a radioactive substance A = A 0 e λ t
Activity of a radioactive substance (linear form) ln A = λ t + ln A 0
Alpha decay Z A X Z 2 A 4 X + 2 4 H e
Beta decay Z A X Z + 1 A X + −1 0 e + v
Positron emission Z A X Z 1 A X + + 1 0 e + v
Gamma decay Z A X * Z A X + γ

Questions & Answers

expression for photon as wave
BARISUA Reply
Are beta particle and eletron are same?
Amalesh Reply
yes
mari
how can you confirm?
Amalesh
sry
Saiaung
If they are same then why they named differently?
Amalesh
because beta particles give the information that the electron is ejected from the nucleus with very high energy
Absar
what is meant by Z in nuclear physic
Shubhu Reply
atomic n.o
Gyanendra
no of atoms present in nucleus
Sanjana
Note on spherical mirrors
Shamanth Reply
what is Draic equation? with explanation
M.D Reply
what is CHEMISTRY
trpathy Reply
it's a subject
Akhter
it's a branch in science which deals with the properties,uses and composition of matter
Eniabire
what is a Higgs Boson please?
FRANKLINE Reply
god particles is know as higgs boson, when two proton are reacted than a particles came out which is used to make a bond between than materials
M.D
bro little abit getting confuse if i am wrong than please clarify me
M.D
the law of refraction of direct current lines at the boundary between two conducting media of
BATTULA Reply
what is the black body of an ideal radiator
Areej Reply
uncertainty principles is applicable to
Areej
fermions
FRANKLINE
what is the cause of the expanding universe?
FRANKLINE
microscopic particles or gases
Areej
Astronomers theorize that the faster expansion rate is due to a mysterious, dark force that is pulling galaxies apart. One explanation for dark energy is that it is a property of space.
Areej
Thanks for your contribution Areej.
FRANKLINE
no problem
Areej
what is photoelectric equation
HIMANSHU Reply
How does fringe intensity depend upon slit width in single slit diffraction?
Abhishek Reply
intensity seems to be directly proportional radius of slit
Mathieu
what are the applications of Bernoulli's equation
Shaukat
VOLTE
Md Reply
what is Draic equation
M.D
about nuclear angular momentum
rahul Reply
what is spin
MUKESH Reply
what concepts do you need?
Sumit Reply

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Source:  OpenStax, University physics volume 3. OpenStax CNX. Nov 04, 2016 Download for free at http://cnx.org/content/col12067/1.4
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