   # Iodine-131 is used in the diagnosis and treatment of thyroid disease and has a half-life of 8.0 days. If a patient with thyroid disease consumes a sample of Na 131 I containing 10. μ g 131 I, how long will it take for the amount of 131 I to decrease to 1/100 of the original amount? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 18, Problem 32E
Textbook Problem
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## Iodine-131 is used in the diagnosis and treatment of thyroid disease and has a half-life of 8.0 days. If a patient with thyroid disease consumes a sample of Na131I containing 10. μg 131I, how long will it take for the amount of 131I to decrease to 1/100 of the original amount?

Interpretation Introduction

Interpretation: Time taken by 131I to decrease to 1/100 of the original amount if some one consumes a sample of Na131I is to be stated.

Concept introduction: A process through which a unstable nuclide looses its energy due to excess of protons or neutrons is known as radioactive decay. The cause of instability of a nuclide is its inefficiency in holding the nucleus together. The curie is commonly used to measure nuclear radioactivity.

Iodine-131 is used in the diagnosis and treatment of thyroid disease and has a half-life of 8 days.

To determine: The time taken by 131I to decrease to 1/100 of the original amount.

### Explanation of Solution

Explanation

It is given that half-life of Iodine-131 is 8 days.

Time is calculated by the formula,

ln[NN0]=Ktln[NN0]=[0.693t1/2]×t

Where

N is the mass of iodine after time t.

N0 is the initial mass of iodine.

t1/2 is the half-life of iodine

Substitute the required values in the above equation

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