Answered: What percentage of a radioactive…

Science

Physics

What percentage of a radioactive substance remains after 7.00 half-lives have elapsed?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Nuclear Physics

Section: Chapter Questions

Problem 12CQ: What fraction of a radioactive sample has decayed after two half-lives have elapsed?

See similar textbooks

Related questions

Q: A certain radioactive nuclide decays with a disintegration constant of 0.0256 h1 (a) Calculate the…

A: Given(s): Decay constant, λ=0.0256 h-1 Require: Half-life, t12=? Fraction of sample left after,…

Q: A 416 g sample of sodium-24 decays to 13.0 g of sodium-24 within 60.0 hours. What is the half-life…

A: Given data: The initial quantity is N0=416 g. Quantity after decay is N(t)=13.0 g. Time elapsed is…

Q: 8..At-219 is a nuclide produced during the decay of U-235, and At-219 in nature is estimated to be…

Q: A 1.61-cm panel of a certain material can absorb 85.3% of incoming rays from a radioactive source.…

Q: A 1.13-cm panel of a certain material can absorb 86.5% of incoming rays from a radioactive source.…

Q: If there are 20 mmol of the radioactive isotope 3H (half-life 12 years) at t = 0, how much 3H remain…

A: Initial concentration of radioactive element is Half-life time is Find:(a) Concentration of at…

Q: Radon gas has a half-life of 3.83 days. If 2.86 g of radon gas is present at time t = 0, what mass…

Q: The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…

Q: 2. Consider a radioactive substance with a half-life of H = 25 days. Suppose mo = 50 mg is the…

Q: archaeologist sometime in the future analyzes the iron used in an old building. The iron contains…

A: half life of Ni -63 t/2 = 92 years LET x half life passed (N0 /2)X =( N0 / 128 ) = (N0 /2)7 X = 7…

Q: The half life for the decay of carbon-14 is 5.73*10^3 years. Suppose the activity due to the…

Q: Choose the BEST answer to the following. A radioactive sample has a half-life of 1 hour. Starting…

A: The number of half -life passed in a time is,

Q: Use the following half-life graph to answer the question: What is the mass of the radioactive…

Q: If you start out with 20 grams of a radioactive material, and 4 hours later you have 5 grams of that…

A: Given data: Initial amount of material (N0) = 20 g Time (t) = 4 hours Remaining amount of material…

Q: Assume that the decay rate for Carbon 14 is k=0.00012. If charcoal found in an ancient fire pit…

Q: A certain radioactive nuclide decays with a disintegration constant of 0.0137h1. (a) Calculate the…

A: Given Disintegration constant λ=0.0137 h-1 (a) half life T1/2 =0.693λ T1/2= 0.693/0.0137…

Q: What nuclide is produced in the following radioactive decays? (a) a decay of 239 94 Pu; (b) b- decay…

A: Part(a): The Alpha decay means the extraction of 2He4 nucleus from a radioactive atom. The alpha…

Q: A sample initially consists of No radioactive atoms of a single isotope. After a time, t, the number…

Q: Use the equation for radioactive decay and solve for an algebraic expression for the time, “t” in…

A: Heavier nucleus are unstable. This is because there is increase in number of protons. This increase…

Q: A certain isotope has a half-life of 9.06 h. What is its decay constant in s-1?

A: Given: The half life time is 9.06 h.

Q: A radioactive sample contains 1.55g of of an isotope with half a life of 3.8 days. How much of the…

A: Given data: Original amount of substance (N0) = 1.55 g Half life (T1/2) = 3.8 days Time (t) = 11.4…

Q: Suppose that you are given a 200 gram sample of a radioactive substance with a half-life of 45 days.…

A: Radioactive decay is the process by which unstable nuclei spontaneously lose energy to become…

Q: The half-life of a radioactive isotope is known to be exactly 1 h. a) What fraction of a sample…

A: Given in question - Half-life (T) = 1 hour Solution: Step1 - Here we will understand the concept…

Q: Radon 23Rn produces a daughter nucleus that is radioactive. The daughter, in turn, produces its own…

A: To Determine: The total number of Nα and Nβ- particles that are produces in this reaction.

Q: What fraction of radioactive nucleus sample survive after two half-lives?

A: Half-life is the time taken by the radioactive element to become the half of the original amount as…

Q: 8. The half-life for a radioactive isotope is 4.00 × 10⁹ yr. Determine the age (in years) of a rock…

Q: A 7.0-Ω resistor is connected across the terminals of a battery having an emf of 10 V. If 0.50-A…

A: The objective of the question is to find the internal resistance of the battery. We can use Ohm's…

Q: Supposed that a radioactive substance has decayed until only of 1/8 of it remains. How many…

A: let initial number of Nucleons= N0 remaining number of Nucleons= N =N08

Q: The You-Yangs are a series of rocky granite ridges to the south-west of Melbourne, whose rocks…

Q: 16. What is the decay rate of carbon 147 Express your answer in yr. 17. In dating using radiocarbon,…

A: Solution: 16. The decay rate is given in terms of half-life of radioactive material is given by,…

Q: Radium-226, the first radioactive isotope used for its radioactive properties, has a half life of…

A: Radium-226 has a half-life, T12=23.0 centuries. The value of the rate constant is given by: λ=ln2T12…

Q: This question: 1 poir A certain radioactive isotope decays at a rate of 0.15% annually. Determine…

A: radioactive isotope decays at a rate of 0.15% annually.

Q: , how old is a sample if two-thirds of it is now the daughter isotope? What type of decay is…

A: We know , N=N0e-λt Where, N= remaining part of the sample N0=Initial amount of the sample λ=decay…

Concept explainers

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.

Question

What percentage of a radioactive substance remains after 7.00 half-lives have elapsed?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Calculation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

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

Suppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0
If a 1.50cmthick piece of lead can absorb 90.0% of the rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the rays?
If a 1.50-cm-thick piece of lead can absorb 90.0% of the rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the rays?
A radioactive sample initially contains 2.40102 mol of a radioactive material whose half-life is 6.00 h. How many moles of the radioactive material remain after 6.00 h? After 12.0 h? After 36.0 h?
is the heaviest stable nuclide, and its BEN is low compared with medium-mass nuclides. Calculate BEN for this nucleus and compare it with the approximate value obtained from the graph in Figure 10.7. fission of nuclei with mass numbers greater than that of Fe. are othermic processes.
(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?
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.
Check Your Understanding A radioactive nuclide has a high decay rate. What does this mean for its half-life and activity?
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.
A radioactive sample has an activity R. For each of the following changes, indicate whether the activity would increase, decrease. or remain unchanged. Indicate your answers with I, D, or U. (a) The number of radioactive nuclei in the sample is doubled. (b) The half-life of the radioactive nuclei is doubled. (c) The decay constant is doubled. (d) A time period equal to two half-lives is allowed to elapse.
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 40K, a naturally occurring rare isotope of potassium responsible for some of our exposure to background radiation.
(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?