Study the radioactive decay curve below. What is the half-life of this isotope? Explain how you figure this out. Counts per second 80,000 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 02 04 06 08 10 12 14 16 18 20 22 24 Time /hours
Study the radioactive decay curve below. What is the half-life of this isotope? Explain how you figure this out. Counts per second 80,000 70,000 60,000 50,000 40,000 30,000 20,000 10,000 0 02 04 06 08 10 12 14 16 18 20 22 24 Time /hours
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Transcribed Image Text:**Study the Radioactive Decay Curve Below**
**Question:** What is the half-life of this isotope? Explain how you figure this out.
**Graph Explanation:**
- **X-Axis (Horizontal):** Represents time in hours, ranging from 0 to 24 hours.
- **Y-Axis (Vertical):** Represents the counts per second, ranging from 0 to 80,000.
- **Curve:** The red line shows the decay of the isotope over time. The counts per second decrease as time progresses, illustrating the radioactive decay process.
**Half-Life Calculation:**
1. Identify the initial counts per second at time 0, which is approximately 70,000.
2. Find the time at which the counts per second reach half of the initial value (35,000 counts per second).
3. Observing the graph, the counts per second reach 35,000 at approximately 8 hours.
Thus, the half-life of this isotope is approximately 8 hours.
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