# The bromine-82 nucleus has a half-life of 1.0 × 10 3 min. If you wanted 1.0 g 82 Br and the delivery time was 3.0 days, what mass of NaBr should you order (assuming all of the Br in the NaBr was 82 Br)?

### Chemistry: An Atoms First Approach

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

Chapter
Section

### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 18, Problem 35E
Textbook Problem
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## The bromine-82 nucleus has a half-life of 1.0 × 103 min. If you wanted 1.0 g 82Br and the delivery time was 3.0 days, what mass of NaBr should you order (assuming all of the Br in the NaBr was 82Br)?

Interpretation Introduction

Interpretation: Half-life of bromine- 82 nucleus is given. Mass of 82Br required is 1g and the delivery time is 3 days. Mass of NaBr required to order is to be calculated.

Concept introduction: A process through which an unstable nuclide loses its energy due to excess of protons or neutrons is known as radioactive decay.

To determine: The mass of NaBr need to be ordered to get 1g of 82Br .

### Explanation of Solution

Explanation

Given

The value of 82Br is 1×103min .

The decay constant is calculated by the formula,

k=0.693t1/2

Where

• t1/2 is the half-life of nuclide.
• k is the decay constant.

Substitute the value of half life in the above formula.

k=0.6931000min-1=0.000693min-1_ .

The decay constant is 0.000693min-1 .

Explanation

Given

The delivery time is 3days .

The value of N is 1g .

The conversion of days into hours is done as,

1day=24hours

Therefore, the conversion of 3days into hours is,

3days=3×24hours=72hours

The conversion of hours into minutes is done as,

1hour=60minutes

Therefore, the conversion of 3hours into minutes is,

72hours=72×60minutes=4320minutes

Mass of 82Br after 3 days is calculated by the formula,

t=2

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