COLLEGE PHYSICS LL W/ 6 MONTH ACCESS
COLLEGE PHYSICS LL W/ 6 MONTH ACCESS
2nd Edition
ISBN: 9781319414597
Author: Freedman
Publisher: MAC HIGHER
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Chapter 27, Problem 13QAP
To determine

That at any given instant a sample of radioactive uranium contains many, many different isotopes of atoms that are not uranium.

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•49 SSM Generally, more massive nuclides tend to be more un- stable to alpha decay. For example, the most stable isotope of ura- nium, 28U, has an alpha decay half-life of 4.5 x 10° y. The most stable isotope of plutonium is 24Pu with an 8.0 x 10' y half-life, and for curium we have 248Cm and 3.4 x 10 y. When half of an original sam- ple of 238U has decayed, what fraction of the original sample of (a) plu- tonium and (b) curium is left?
•61 The isotope 238SU decays to 206 Pb with a half-life of 4.47 x 10° y. Although the decay occurs in many individual steps, the first step has by far the longest half-life; therefore, one can often consider the decay to go directly to lead. That is, 238U → 206Pb + various decay products. A rock is found to contain 4.20 mg of 23$U and 2.135 mg of 206PB. Assume that the rock contained no lead at formation, so all the lead now present arose from the decay of uranium. How many atoms of (a) 238U and (b) 206Pb does the rock now contain? (c) How many atoms of 238U did the rock contain at formation? (d) What is the age of the rock?
•3 @ A thermal neutron (with approximately zero kinetic energy) is absorbed by a 23U nucleus. How much energy is transferred from mass energy to the resulting oscillation of the nucleus? Here are some atomic masses and the neutron mass. 237U 237.048 723 u 239U 239.054 287 u 238U 238.050 782 u 240U 240.056 585 u 1.008 664 u

Chapter 27 Solutions

COLLEGE PHYSICS LL W/ 6 MONTH ACCESS

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