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Please answer the last three question (c, d and e). The answers are: (c) 3.63 × 10^9 events (d) 115 Bq (e) 54.5 × 10^6 atoms    This is also not a graded assignment but just a practice problem for a final exam next week. All of the answers to the odd problems are in the book so I know these are the answers but do not know how to get them.

Please answer the last three question (c, d and e). The answers are: (c) 3.63 × 10^9 events (d) 115 Bq (e) 54.5 × 10^6 atoms    This is also not a graded assignment but just a practice problem for a final exam next week. All of the answers to the odd problems are in the book so I know these are the answers but do not know how to get them.

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter19: Nuclear Chemistry
Section: Chapter Questions
Problem 23P
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Please answer the last three question (c, d and e). The answers are:

(c) 3.63 × 10^9 events

(d) 115 Bq

(e) 54.5 × 10^6 atoms 

 

This is also not a graded assignment but just a practice problem for a final exam next week. All of the answers to the odd problems are in the book so I know these are the answers but do not know how to get them. 

42.13 A major source of background ra- diation is Radon-222. 222Rn is an a emit- ter, it has a half-life of 3.8 days, a decay energy of 5.6MeV, and is itself created as part of the decay chain between Uranium and Lead. Radon is an important natural source of radiation despite the fact that its decay mode is via an a particle which would not be able to penetrate any significant air-gap, let alone our skin. Radon is a gas and has a long enough half-life to perme- ate out of soil and rock and into the air. Thus when it is created by the naturally occurring Uranium in soil/rock near the surface it can be easily ingested via res- piration before it decays and the a decay can happen inside our tissues. While varying quite a lot from place-to- place a typical dose from the decay of Radon-222 is on the order of 1.0 mSv per year. If we assume a 65 kg mass and that the RBE of the a particles produced is 20 then: (a) What is the dose in Gy over one year? (b) What is the amount of energy ab- sorbed due to the decay 222Rn over the course of one year (in J)? (c) How many individual decay events does this correspond to? (d) What is the activity of the 222Rn in a persons body (in Bq)? (e) How many in a person at any given point in time? 222 Rn atoms are present
Transcribed Image Text:42.13 A major source of background ra- diation is Radon-222. 222Rn is an a emit- ter, it has a half-life of 3.8 days, a decay energy of 5.6MeV, and is itself created as part of the decay chain between Uranium and Lead. Radon is an important natural source of radiation despite the fact that its decay mode is via an a particle which would not be able to penetrate any significant air-gap, let alone our skin. Radon is a gas and has a long enough half-life to perme- ate out of soil and rock and into the air. Thus when it is created by the naturally occurring Uranium in soil/rock near the surface it can be easily ingested via res- piration before it decays and the a decay can happen inside our tissues. While varying quite a lot from place-to- place a typical dose from the decay of Radon-222 is on the order of 1.0 mSv per year. If we assume a 65 kg mass and that the RBE of the a particles produced is 20 then: (a) What is the dose in Gy over one year? (b) What is the amount of energy ab- sorbed due to the decay 222Rn over the course of one year (in J)? (c) How many individual decay events does this correspond to? (d) What is the activity of the 222Rn in a persons body (in Bq)? (e) How many in a person at any given point in time? 222 Rn atoms are present
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