# Nuclear Medicine A patient is given 0.080 mg of technetium-99m, a gamma emitter with a half-life of 6.0 hours. How long would it take for the technetium to reach 1/8 of its initial amount? (Assume no excretion of the nuclide from the body.)

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 8, Problem 55E
Textbook Problem
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## Nuclear MedicineA patient is given 0.080 mg of technetium-99m, a gamma emitter with a half-life of 6.0 hours. How long would it take for the technetium to reach 1/8 of its initial amount? (Assume no excretion of the nuclide from the body.)

Interpretation Introduction

Interpretation:

The time required for the decay of technetium-99m to one eighth of its initial amount with a half-life of 6.0 hours is to be calculated.

Concept Introduction:

The half-life of a radioactive substance is the time in which the amount of the given radioactive substance is reduced to half of its initial value. The half-life for a given substance is represented by t1/2.

After each half-life period, the amount of the substance is reduced to half of the initial number.

### Explanation of Solution

The decay of technetium-99m to one eighth of its initial amount requires three half-life periods. Since the value of the half-life period of technetium-99m equals to 3 hours, therefore, by multiplying the half-life period with the half-life of technecium-99m, which is 6.00 hours, gives the time period...

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