   Chapter 10, Problem 74P ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# Calculate the dose in rem/y for the lungs of a weapons plant employee who inhales and retains an activity of 1.00 μ C i 239 P u in an accident, Tire mass of affected lung tissue is 2.00 kg and the plutonium decays by emission of a 5.23-MeV a particle. Assume a RBE value of 20.

To determine

To calculate:

Dose in Sv for the lungs of a weapons plant.

Explanation

Given Data:

Activity= 1μCi

Emission of plutonium per decay = 5.23MeV

Mass of affected lung tissue = 2.00kg

Energy = 0.979Joule

RBE= 20

Formula used:

Dose in Sv= dose in Gy x RBE

Where,

RBE= Biological effectiveness

Calculation:

Given that;

Activity(R)=1.00μCi,

Converting activity into Bq,

R=(1.00)×(3.70×104)=3.70×104Bq=3.70×104decay/sec

Converting decay/sec into decay/year

decay/year=3.70×104×3.16×107=1.17×1012decay/year

Emission of plutonium per decay is given by

Converting MeV/decay

E=5.23MeV/decay=5.23MeV/decay×1.17×1012decay×(1.60×10 -13J1MeV)=9.79×10-1J=0

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