# Fresh rainwater or surface water contains enough tritium ( H 1 3 ) to show 5.5 decay events per minute per 100. g water. Tritium has a half-life of 12.3 years. You are asked to check a vintage wine that is claimed to have been produced in 1946. How many decay events per minute should you expect to observe in 100. g of that wine?

### 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 36E
Textbook Problem
132 views

## Fresh rainwater or surface water contains enough tritium ( H 1 3 ) to show 5.5 decay events per minute per 100. g water. Tritium has a half-life of 12.3 years. You are asked to check a vintage wine that is claimed to have been produced in 1946. How many decay events per minute should you expect to observe in 100. g of that wine?

Interpretation Introduction

Interpretation: Decay events of tritium (13H) per minute per 100g freshwater or surface water is given. Decay events per minute in 100g of a vintage wine is to be calculated.

Concept introduction: Tritium (13H) is a radioactive isotope of hydrogen containing one proton and two neutrons. It has various applications including verification of vintage wines, tracing of reactions of molecules and their pathways and many others.

To determine: The decay events per minute in 100g of a vintage wine.

### Explanation of Solution

Explanation

The decay constant can be calculated by the formula given below.

λ=0.693t1/2

Where

• t1/2 is the half life of tritium.
• λ Is decay constant.

Substitute the value of t1/2 in the above expression.

λ=0.69312.3year-1=0.0563year-1

NO is the number of decay events per min per 100g of water

N is the number of decay events per minute in 100g of a vintage wine

Therefore, NO is 5.5

The time difference =20181946=72years

Therefore, the total time of decay (t) is 72years .

The value of N can be calculated by the formula given below

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