Chemistry: The Molecular Nature of Matter
Chemistry: The Molecular Nature of Matter
7th Edition
ISBN: 9781118516461
Author: Neil D. Jespersen, Alison Hyslop
Publisher: WILEY
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Chapter 20, Problem 90RQ
Interpretation Introduction

Interpretation:

The activity of 1.00 g of 90Sr in becquerels and in microcuries, is to be determined.

Concept Information:

Strontium-90 is produced by nuclear fission and a radioactive isotope of strontium. The strontium-90 undergoes β-decay with half-life of 28.79 years. The number of disintegrations per second is the activity of a radioactive material whose SI unit is becquerel (Bq).

The number of radioactive nuclei (N) is experimentally proportional to activity.

Activity=kN.

Here, k is the decay constant that gives the activity per nuclide and N is the number of nuclei.

The change in the number of nuclei per second is:

activity=ΔNΔt=kN

Here, Δt is the change in the time interval.

The above equation is called the law of radioactive decay which is a first-order kinetic process. The half-life of the first-order reaction is:

t1/2=ln2k=0.693k

Here, t1/2 is the half-life and k is the rate constant.

The relationship between the conversion of becquerel to curie is as:

1 Bq = (1 / 3.7 × 1010) Ci.

The relationship between the conversion of curies to microcuries is as:

 1 Ci = 1000mCi, conversion fator is 1000mCi1 Ci

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Chapter 20 Solutions

Chemistry: The Molecular Nature of Matter

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