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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.

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
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  1. 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.
### 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.
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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