If a sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams, what is the half-life of the isotope? Hint: First, determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.
If a sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams, what is the half-life of the isotope? Hint: First, determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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- If a sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams, what is the half-life of the isotope? Hint: First, determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.
Transcribed Image Text:### Radioactive Decay Graph
#### Explanation of the Graph:
This graph illustrates the concept of radioactive decay over time.
**X-Axis (Horizontal):**
- Represents the ***Time (days)*** ranging from 0 to 10 days.
**Y-Axis (Vertical):**
- Represents the ***Counts per minute*** ranging from 0 to 80 counts per minute.
**Curve Details:**
- The curve on the graph is a smooth, downward-sloping line which starts at approximately 80 counts per minute and gradually approaches 0 counts per minute as time progresses from 1 to 10 days. This represents an exponential decrease.
#### Key Points:
- **Initial Count:** The initial count rate is about 80 counts per minute.
- **Decay Rate:** The count rate decreases rapidly in the initial days and then more slowly as time progresses.
- **End Point:** By the end of 10 days, the count rate has almost reached 0 counts per minute.
This graph is a visual representation of how radioactive substances lose their activity over time, which can be modeled using an exponential decay function. It is commonly used to understand the concept of half-life in physics and chemistry.
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