An average person is exposed to about 360 millirem of background radiation per year from a variety of natural and man-made sources. About two-thirds of that typically comes from inhalation of 2 2 2 Rn produced in soil by the decay of 2 3 8 U. Given that 2 2 2 Rn decays by alpha emission, estimate the absorbed dose in (a) joules and (b) grays for a 60-kg person from one inhalation of radon.

Chemistry for Engineering Students

3rd Edition
Lawrence S. Brown + 1 other
Publisher: Cengage Learning
ISBN: 9781285199023

Chemistry for Engineering Students

3rd Edition
Lawrence S. Brown + 1 other
Publisher: Cengage Learning
ISBN: 9781285199023
Chapter 14, Problem 14.77PAE
Textbook Problem
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An average person is exposed to about 360 millirem of background radiation per year from a variety of natural and man-made sources. About two-thirds of that typically comes from inhalation of 222Rn produced in soil by the decay of 238U. Given that 222Rn decays by alpha emission, estimate the absorbed dose in (a) joules and (b) grays for a 60-kg person from one inhalation of radon.

Interpretation Introduction

Interpretation: Write the equation for the expected decays:-

(a) Estimate the absorbed dose in Joules

(b) Estimate the absorbed dose in grays for a 60 kg person from one year inhalation of radon.

Concept Introduction: An average person is revealed to 360 millirem of background radiation per year from a variety of natural & manmade sources. About 2/3 of that comes from inhalation of 222Rn that is produced in soil by decay of 238U

Explanation of Solution

To calculate the absorbed dose, we require the formula

Where Q is the quality factor and is about 20 for alpha particles.

Since two − third of radiation comes from 222Rn the radiation absorbed in a year is

23×360×11000 rem =0.24 rem

Therefore, using the formula,

The absorbed dose for a 60 kg person is

0

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