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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

It is estimated that weapons tests in the atmosphere have deposited approximately 9 MCi of 90Sr on the surface of the earth. Find the mass of this amount of 90Sr.

To determine

The mass of S90r deposited on the surface of the Earth due to weapons test in the atmosphere.

Explanation

Given info:

Activity of S90r deposited on the Earth's surface R=9 MCi

Formula used:

The activity of S90r is given by,

  R=λN

Here, λ is the decay constant and N is the number of nuclei present at the instant.

The decay constant is given by,

  λ=0.693t1/2

The mass of S90r on the surface of the earth is given by,

  m=90 gNNA

Here, NA is Avogadro number.

Calculation:

Express the activity of S90r in decay/s.

  R=9 MCi× 106Ci1 MCi×3.7× 10 10decay/s1 Ci=3.33×1017decay/s

The half life of S90r is 28.8 y.

Calculate the decay constant of S90r.

  λ=0.693t 1/2 =0

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