Iodine-125 (¹251) is used to treat, among other things, brain tumors and prostate cancer. It decays by gamma decay with a half-life of 54.90 days. Patients who fly soon after receiving ¹25I implants are given medical statements from the hospital verifying such treatment because their radiation could set off radiation detectors at airports. If the initial decay rate (or activity) was 517 µCi, what will the rate be after 381.0 days? decay rate: μCi How many months after the treatment will the decay rate be reduced to 10.5% of the original value? Assume months of 30 days. months:

Principles of Modern Chemistry
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Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
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Chapter19: Nuclear Chemistry
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### Iodine-125 (^125I) in Medical Treatment

Iodine-125 (^125I) is used to treat, among other things, brain tumors and prostate cancer. It decays by gamma decay with a half-life of 54.90 days. Patients who fly soon after receiving ^125I implants are given medical statements from the hospital verifying such treatment because their radiation could set off radiation detectors at airports.

#### Decay Rate Calculation
**Question**: If the initial decay rate (or activity) was 517 µCi, what will the rate be after 381.0 days?

**Decay Rate**: 
[Input Box] µCi

#### Time Calculation to Reach a Specific Decay Rate
**Question**: How many months after the treatment will the decay rate be reduced to 10.5% of the original value? Assume months of 30 days.

**Months**: 
[Input Box] 

This educational exercise provides practical problems for calculating radioactive decay in medical treatments. Understanding the decay rates and the time periods involved is crucial for ensuring the safety and efficacy of treatments using radioactive isotopes.
Transcribed Image Text:### Iodine-125 (^125I) in Medical Treatment Iodine-125 (^125I) is used to treat, among other things, brain tumors and prostate cancer. It decays by gamma decay with a half-life of 54.90 days. Patients who fly soon after receiving ^125I implants are given medical statements from the hospital verifying such treatment because their radiation could set off radiation detectors at airports. #### Decay Rate Calculation **Question**: If the initial decay rate (or activity) was 517 µCi, what will the rate be after 381.0 days? **Decay Rate**: [Input Box] µCi #### Time Calculation to Reach a Specific Decay Rate **Question**: How many months after the treatment will the decay rate be reduced to 10.5% of the original value? Assume months of 30 days. **Months**: [Input Box] This educational exercise provides practical problems for calculating radioactive decay in medical treatments. Understanding the decay rates and the time periods involved is crucial for ensuring the safety and efficacy of treatments using radioactive isotopes.
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