Answered: Radioactive Decay Series The following…

Radioactive Decay Series The following system of differential equations is encountered in the study of the decay of a special type of radioactive series of elements:

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter31: Radioactivity And Nuclear Physics

Section: Chapter Questions

Problem 23PE: In the following eight problems, write the complete decay equation for the given nuclide in the...

See similar textbooks

Related questions

Q: 2. The half-life of a radioactive sample is 30 minutes. If the sample originally contains…

A: Half-life of a radioactive substance is the time that is taken by the substance to reduce into half…

Q: Radium-226 decays by emitting an alpha particle. A 0.5-gram sample of pure radium-226 emits…

Q: Radioactive Decay A sample of radioactive material with decay constant .1 is decaying at a rate R(t)…

A: Given data: Rate of decay is, R(t)=-e-0.1t g/year. Time period for which decay is to be calculated…

Q: 4. The nuclide of iodine with a nucleon number of 131 and a proton number 53 emits a B-particle.…

A: Nucleon number of parent atom = 131 Proton number = 53 Therefore, parent atom = I53131

Q: QUESTION 4 Discovery of artificially-induced radioactivity allowed to create new short-lives…

A: Artificially induced radioactivity is radioactivity induced by man made methods and it is the…

Q: Q2: - Radioactive carbon 14 sample contain 2x10"nuclie initially and its half-life is 5730 years,…

Q: 15 Isotope of oxygen, g0, is susceptible to beta-decay. Which particles/radiation are released in…

A: We need to find the beta decay products for 15 8 O.

Q: Large amounts of depleted uranium (238U ) are available as a by-product of uranium processing for…

A: Given: Large amounts of depleted uranium (238U ) are available as a by-product of uranium processing…

Q: Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50-mg…

A: Given that, The half life of strontium, T1/2=28 years We need to find how long it take a 50 mg…

Q: The isotope astatine-200 undergoes alpha decay. Write the reaction equation and determine the…

A: The thyroid gland secretes astatine because it functions similarly to iodine.As a result, it's…

Q: Write two important limitations of Rutherford nuclear model of the atom.

A: Rutherford gives the model of the atom which was not accepted due to some limitations.

Q: The isotope plutonium-239 undergoes alpha decay. Write the reaction equation and determine the…

A: If plutonium-239 undergoes alpha decay than it we will have the following reaction

Q: Carbon Dating The age of an ancient artifact can be deter- mined by the amount of radioactive…

A: The artifact's age A is given by, A=-8267lnDD0 ...... (1) Since the amount…

Q: A radioactive element decays to 1/32th of its initial activity in 25 decay. Calculate its half life.

Q: After long effort, in 1902 Marie and Pierre Curie succeeded in separating from uranium ore the first…

Q: Radioactivity You have an isotope with a decay constant of 3.62 * 10-3 s-1. What is the half-life…

Q: Fluorine-18 undergoes positron decay. Write the nuclear reaction for this decay. (Omit…

Q: List at least three (3) old, original names (derived from the first three letters of the Greek…

A: (1). alpha particles(α): These were later identified as the nucleus of the helium atom as these…

Q: A stable nuclide, after absorbing a neutron emits an electron and the new nuclide splits…

A: Scenario - A nuclei after absorbing a neutron, splits into 3 α particles and an electron. Let…

Q: QUESTION 8 Who discovered artificial radioactivity? the Joliot- Curies O Otto Hahn O Enrico Fermi O…

A: Required who discovered artificial radioactive.

Q: A radioactive substance is known to decay at a rate proportional to its current mass. At t = 0, its…

Q: 21) The half life for radioactive decay of C14. Is 5730 years. An archaeological artifact containing…

Q: Osed in Radioactive vanadium-48 decays with a half-life of 16.0 days. [Review Topics] [References]…

Q: 14

A: When an alpha particle is decayed from an atom, the mass number if decreased by 4 units and the…

Q: When the nuclide selenium-75 decays as indicated on the table: the number of protons in the product…

A: Selenium-75 undergoes both electron capture and beta decay.

Q: 5(a). Thorium-232 (232 90 Th) decays via a decay. Write out the reaction and identify the daughter…

Q: Isotopes carbon-11 (116C) and carbon-14 (146C) are radioactive. How would each isotope decay? Write…

Q: 99. Multiple Choice: The half-life of an isotope of an element is 5 days. The mass of a 10 gram…

Q: As a staff scientist at a nuclear power plant, it is your job to understand radioactive substances…

A: Here we use law of radioactive decay to find the answer

Q: 6. How long will it take for an amount of Radon-223 to decay to only 60% of the original amount? The…

A: The time required to decay to 60% of original amount needs to be calculated.

Q: nuclear reaction for beta decay of radon 222

A: solution is given as

Q: Radioactive decay A certain radioactive substance decays according to the formula q(t) =…

A: The halflife time of the substance is t1/2=ln2λ The mean lifetime of the substance is 0.0063.

Q: Q4: - The radioactive isotope Au has a half-life of 64.8 h. A sample containing this isotope has an…

A: Half life , T1/2 = 64.8h Initial Activity , R0 = 40 μCi . To find = Number of nuclei that will decay…

Q: Which of the following quantities is conserved during radioactive decay? **** THERE IS ONLY ONE…

A: To discuss the conserved quantity during a radioactive decay

Q: Does the number of radioactive nuclei in a sample decrease to exactly half its original value in one…

A: The number of nuclei at a given instant of time can be given as We know,

Q: Define and discuss nuclear decay.

A: Nuclear decay means disintegration of an atom into two or more atoms with emission of energy. During…

Question

2 / 2
221%
The following system
Radioactive Decay Series
of differential equations is encountered in the study of the
decay of a special type of radioactive series of elements:
dx
= - Ajx
dt
%3D
dy
= Ax - 2y,
dt
where A and A, are constants. Discuss how to solve this
system subject to x(0) = x0, y(0) = yo- Carry out your
ideas.
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Does the number of radioactive nuclei in a sample decrease to exactly half its original value in one halflife? Explain in terms of the statistical nature of radioactive decay.
Data 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?
(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.
Check Your Understanding Nucleus X is two times larger than nucleus Y. What is the ratio of their atomic masses?
Check Your Understanding A radioactive nuclide has a high decay rate. What does this mean for its half-life and activity?
What characteristics of radioactivity show it to be nuclear in origin and not atomic?
To obtain the most precise value of BE from the equation BE=[ZM(1H)+Nmn]c2m(AX)c2, we should take into account the binding energy of the electrons in the neutral atoms. Will doing this produce a larger or smaller value for BE? Why is this effect usually negligible?
In the following eight problems, write the complete decay equation for the given nuclide in the complete XZAN notation. Refer to the periodic table for values of Z. decay of 226Ra, another isotope in the decay series of 238U, FIrst recognized as a new element by the Curies. Poses special problems because its daughter is a radioactive noble gas. In the following four problems, identity the parent nuclide and write the complete decay equation in the XZAN notation. Refer to the periodic table for values of Z.
It is estimated that the total explosive yield of all the nuclear bombs in existence currently is about 4.000 MT. (a) Convert this amount of energy to kilowatthours, noting that 1kWh=3.60106J. (b) What would the monetary value of this energy be if it could be converted to electricity costing 10 cents per kW.h?
(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.
Enter the correct nuclide symbol in each open tan rectangle in Figure P43.25, which shows the sequences of decays in the natural radioactive series starting with the long-lived isotope uranium-235 and ending with the stable nucleus lead-207. Figure P43.25
Fallout from nuclear weapons tests in the atmosphere is mainly 90Sr and l37Cs, which have 28.6- and 32.2-y halflives, respectively. Atmospheric tests were terminated in most countries in 1963, although China only did so in 1980. It has been found that environmental activities of these two isotopes are decreasing taster than their halflives. Why might this be?