Purchase Solution

Isotope half-life

Not what you're looking for?

Ask Custom Question

I am looking for the solution for this problem. Please show all assumptions, set up, and a detailed solution. I need set up, solving the equation and the final amount of material at any time.

A certain isotope has a half-life of 5 years. A sample of the isotope has...

Please see attached.

Attachments
Purchase this Solution
Solution Summary

This is a problem regarding differential equations and half-life of an isotope.

Solution Preview

Attached

Although radioactive decay involves discrete events of nuclear disintegration, the number of events is so large that it can be treated like a continuum and the methods of calculus employed to predict the behavior. The result from the decay probability can be put in the differential form:

where = decay ...

Purchase this Solution
Free BrainMass Quizzes
Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

Basic Physics

This quiz will test your knowledge about basic Physics.

Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

The Moon

Test your knowledge of moon phases and movement.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

View More Free Quizzes
Related BrainMass Solutions

  • Redioactivity: Fraction of activity of isotope and half-life

    61510 Radioactivity: Fraction of activity of isotope and half-life A radioactive isotope has a decay constant lambda = 0.0582 s-1. a) What is the half-life of the isotope in seconds?

  • Half life of the isotope

    18012 Half life of the isotope A radioactive isotope of mass number 94 has been prepared by neutron bombardment.

  • Isotopes and Radioactive Decay

    The "half-life" (or t1/2) of a radioactive isotope is defined as the time that is required for one half of the original number of atoms to decay.

  • Which of the following statements are true about Decay rates

    True False a large decay constant implies a long half-life True False in carbon dating, the radioactive isotope of carbon that is used is carbon-12 True False half-life is the time it takes for a radioactive sample to decay away to nothing

  • Half-Life of 14-Carbon Isotope

    422081 Half-Life of 14-Carbon Isotope The activity of a 1 gram carbon sample of a living organism is 0.23Bq. A 1-gram carbon sample from a fossil has an activity of 0.07Bq. The half-life of 14-carbon isotope is 5730 years. How old is the sample?

  • Rate of Radioactive Decay

    60437 Rate of Radioactive Decay 226-88 Ra, a common isotope of radium, has a half-life of 1620 years.

  • a short half-life explanation

    So in 30 minutes you would have a half, of a half, of a half ... or 1/2 x 1/2 x 1/2 = 1/8 of the original isotope should remain. A brief treatment of the concept of radioactive half-life with respect to the decay timing.

  • Radioactive decay single parent to daughter product

    What is half life in terms of decay constant?

  • Problems About Radioactivity and Nuclear Chemistry

    A radioactive sample contains 1.55g of an isotope with a half-life of 3.8 days. What mass of the isotope will remain after 5.5 days? (Assume no excretion of the nuclide from the body.) Express your answer using two significant figures. 3.

View More Related Solutions