From the equation expressing the law of radioactive decay,derive the following useful expressions for the decayconstant and the half-life, in terms of the time interval Atduring which the decay rate decreases from R, to R:A = In ) Tvz= In (R,JR)1R(In 2) AtAt

Given: The time interval is Δt. Initially the number of atoms is R. After time Δt the number of…

Answered: From the equation expressing the law of…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter43: Nuclear Physics

Section: Chapter Questions

Problem 13P

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Similar questions

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.
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.
Which of the following is the correct daughter nucleus associated with the alpha decay of 72157Hf? (a) 72153Hf (b) 70153Yb (c) 70157Yb
Which of the following is the correct daughter nucleus associated with the beta decay of 72184Hf? (a) 72183Hf (b) 73183Ta (c) 73184Ta
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. Electron capture by 7Be.
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 52Fe.
Data from the appendices and the periodic table may be needed for these problems. (a) Calculate the activity R in curies at 1.00 g of 226Ra. (b) Discuss why your answer is not exactly 1.00 Ci, given that the curie was originally supposed to be exactly the activity of a gram of radium.
Confirm that charge, electron family number, and the total number of nucleons are all conserved by the rule for (decay given in the equation ZAXNZ+1AYN1++ve. To do this, identify the values of each before and after the decay.
(a) Calculate the energy released in the neutroninduced fission (similar to the spontaneous fission in Example 32.3) n+238U96Sr+140Xe+3n, given m(96Sr)=95.921750u and m(140Xe)=139.92164. (b) This result is about 6 MeV greater than the result for spontaneous fission. Why? (c) Con?rm that the total number at nucleons and total charge are conserved in this reaction.
(a) Calculate the energy released in the neutroninduced fission reaction n+239Pu96Sr+140Ba+4n, given m(96Sr)=95.921750u and m(140Ba)=139.910581u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.
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.
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 210Po, the isotope of polonium in the decay series of 238U that was discovered by the Curries. A favorite isotope in physics labs, since it has a short halflife and decays to a stable nuclide.

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From the equation expressing the law of radioactive decay, derive the following useful expressions for the decay constant and the half-life, in terms of the time interval At during which the decay rate decreases from R, to R: A = In ) Tvz= In (R,JR) 1 R (In 2) At At