Explanation Given Info: the decay constant when nucleus A decays into B is λ A , the decay constant when nucleus B decays into stable product C is λ B , the number of nucleus at the sample when it starts is N 0 . Write the equation for the activity of the sample. R ( t ) = λ N ( t ) Here, N is the number of nuclei λ is the decay constant t is the time taken Write the equation for the activity of the sample A and B. R ( t ) = λ A N A ( t ) + λ B N B ( t ) Here, λ A is the decay constant when nucleus A decays into B λ B is the decay constant when nucleus B decays into stable product C N A is the number of nuclei for sample A N B is the number of nuclei for sample B The activity of parent nuclide in depends on the activity of the daughter nuclide. Write the equation for the activity of the sample A. d N A d t = − λ A N A N ( t ) = N 0 e − λ A t Write the equation for the activity of the sample B. d N B d t = − λ B N B + ( − d N A d t ) Write the expression for rate of change in the daughter nuclei d N B d t = − λ B N B + ( − d N A d t ) = − λ A N B + λ A N A Substitute N 0 e − λ A t for N A to find the rate of change in the daughter nuclei. Assume the solution is in the form of N B ( t ) = A ( e − λ A t − e − λ B t ) . Substitute A ( e − λ A t − e − λ B t ) for N B ( t ) in the expression to find the coefficient A

Essential University Physics (3rd Edition)

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ISBN: 9780134202709

Author: Richard Wolfson

Publisher: PEARSON

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Nuclear Reactions

Nuclear reactions are processes in which the fundamental characteristics of a nucleus changes. They change into a completely different nucleus. These processes occur naturally in an unstable nucleus. Bombarding an energetic particle can induce nuclear re…

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Chapter 38, Problem 84P

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the expression for total activity of the sample at t.

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Chapter 38, Problem 83P

Chapter 38, Problem 85P

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Chapter 38 Solutions

Essential University Physics (3rd Edition)

Ch. 38.1 - Prob. 38.1GI Ch. 38.2 - Prob. 38.2GI Ch. 38.3 - Prob. 38.3GI Ch. 38.4 - Prob. 38.4GI Ch. 38.5 - Prob. 38.5GI Ch. 38 - Prob. 1FTD Ch. 38 - Prob. 2FTD Ch. 38 - Prob. 3FTD Ch. 38 - Prob. 4FTD Ch. 38 - Prob. 5FTD

Ch. 38 - Why are iodine-131 and strontium-90 particularly...Ch. 38 - Prob. 7FTD Ch. 38 - Prob. 8FTD Ch. 38 - Prob. 9FTD Ch. 38 - Prob. 10FTD Ch. 38 - Prob. 11FTD Ch. 38 - Prob. 12FTD Ch. 38 - Prob. 13FTD Ch. 38 - Prob. 14FTD Ch. 38 - Explain the different approaches to the Lawson...Ch. 38 - Prob. 16FTD Ch. 38 - Three radon isotopes have 125, 134, and 136...Ch. 38 - Prob. 18E Ch. 38 - Prob. 19E Ch. 38 - Prob. 20E Ch. 38 - Prob. 21E Ch. 38 - How many half-lives will it take for the activity...Ch. 38 - Prob. 23E Ch. 38 - Prob. 24E Ch. 38 - Prob. 25E Ch. 38 - Prob. 26E Ch. 38 - Prob. 27E Ch. 38 - Prob. 28E Ch. 38 - Use Fig. 38.9 to estimate the mass defect in...Ch. 38 - Find the total binding energy of oxygen-16, given...Ch. 38 - Determine the nuclear mass of nickel-60, given...Ch. 38 - Prob. 32E Ch. 38 - Prob. 33E Ch. 38 - Prob. 34E Ch. 38 - Prob. 35E Ch. 38 - Prob. 36E Ch. 38 - Prob. 37E Ch. 38 - Prob. 38E Ch. 38 - Prob. 39E Ch. 38 - Prob. 40E Ch. 38 - Prob. 41E Ch. 38 - Prob. 42P Ch. 38 - Prob. 43P Ch. 38 - Prob. 44P Ch. 38 - Iron-56, with nuclear mass 55.9206 u, is among the...Ch. 38 - Prob. 46P Ch. 38 - As a geologist, youre assessing the feasibility of...Ch. 38 - Prob. 48P Ch. 38 - Prob. 49P Ch. 38 - Nitrogen-13 is a 9.97-min-half-lifc isotope used...Ch. 38 - Prob. 51P Ch. 38 - Prob. 52P Ch. 38 - Prob. 53P Ch. 38 - Prob. 54P Ch. 38 - The table below lists reported levels of...Ch. 38 - Prob. 56P Ch. 38 - Analysis of a Moon rock shows that 82% of its...Ch. 38 - Prob. 58P Ch. 38 - Prob. 59P Ch. 38 - Today, uranium-235 comprises only 0.72% of natural...Ch. 38 - Prob. 61P Ch. 38 - Prob. 62P Ch. 38 - Prob. 63P Ch. 38 - Prob. 64P Ch. 38 - Prob. 65P Ch. 38 - Prob. 66P Ch. 38 - Prob. 67P Ch. 38 - Prob. 68P Ch. 38 - Prob. 69P Ch. 38 - Prob. 70P Ch. 38 - Prob. 71P Ch. 38 - Prob. 72P Ch. 38 - Prob. 73P Ch. 38 - Prob. 74P Ch. 38 - Bismuth-209 and chromium-54 combine to form a...Ch. 38 - Prob. 76P Ch. 38 - Prob. 77P Ch. 38 - Prob. 78P Ch. 38 - Prob. 79P Ch. 38 - Prob. 80P Ch. 38 - Prob. 81P Ch. 38 - Prob. 82P Ch. 38 - Prob. 83P Ch. 38 - Prob. 84P Ch. 38 - Prob. 85P Ch. 38 - Prob. 86PP Ch. 38 - Prob. 87PP Ch. 38 - Prob. 88PP Ch. 38 - Prob. 89PP

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