Radioactive sodium-24, administered as 2"NaCl, is given to treat leukemia. If a patient must receive 190 µCi/kg and the isotope is supplied as a solution that contains 4.0 mCi/mL, what volume is needed for a 70.-kg patient?
Radioactive sodium-24, administered as 2"NaCl, is given to treat leukemia. If a patient must receive 190 µCi/kg and the isotope is supplied as a solution that contains 4.0 mCi/mL, what volume is needed for a 70.-kg patient?
Chemistry
10th Edition
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
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Title: Dosage Calculation for Radioactive Sodium-24 Treatment**
**Problem Statement:**
Radioactive sodium-24, administered as \(^{24}\text{NaCl}\), is used in the treatment of leukemia. If a patient must receive a dosage of 190 \( \mu \text{Ci/kg} \) and the isotope is available in a solution with a concentration of 4.0 \( \text{mCi/mL} \), what volume of solution is required for a patient weighing 70 kg?
**Solution Process:**
1. **Determine the Total Activity Required for the Patient:**
- Patient weight = 70 kg
- Required dosage = 190 \( \mu \text{Ci/kg} \)
- Total activity needed = \( 70 \text{ kg} \times 190 \mu \text{Ci/kg} \)
2. **Convert the Total Activity to mCi:**
- Note: \(1 \text{ mCi} = 1000 \mu \text{Ci}\)
- Convert the total activity required from \( \mu \text{Ci} \) to \( \text{mCi} \).
3. **Calculate the Volume of Solution:**
- Concentration of the solution = 4.0 \( \text{mCi/mL} \)
- Use the formula:
\[
\text{Volume (mL)} = \frac{\text{Total Activity (mCi)}}{\text{Concentration (mCi/mL)}}
\]
- Calculate the volume of solution needed.
**Additional Notes:**
- Ensure all units are consistent during calculations.
- Verify calculations to maintain treatment accuracy.
**Interactive Features:**
- **Check My Work**: An option to verify the correctness of the calculated answer.
- **Hint**: Provides guidance on approaching the solution.
- **Solution**: Shows the complete step-by-step solution to the problem.
- **Guided Solution**: Offers detailed guidance and explanations for each step, ideal for learning purposes.
**Note**: Understanding how to perform unit conversions and calculate dosages accurately is crucial in medical treatments involving radioactive materials.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09fbcd12-878c-4e55-9c8e-ee499bcde15b%2F5b032c07-6ade-46dd-8bf4-cfa3b179a7a1%2Fm9u80du_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Dosage Calculation for Radioactive Sodium-24 Treatment**
**Problem Statement:**
Radioactive sodium-24, administered as \(^{24}\text{NaCl}\), is used in the treatment of leukemia. If a patient must receive a dosage of 190 \( \mu \text{Ci/kg} \) and the isotope is available in a solution with a concentration of 4.0 \( \text{mCi/mL} \), what volume of solution is required for a patient weighing 70 kg?
**Solution Process:**
1. **Determine the Total Activity Required for the Patient:**
- Patient weight = 70 kg
- Required dosage = 190 \( \mu \text{Ci/kg} \)
- Total activity needed = \( 70 \text{ kg} \times 190 \mu \text{Ci/kg} \)
2. **Convert the Total Activity to mCi:**
- Note: \(1 \text{ mCi} = 1000 \mu \text{Ci}\)
- Convert the total activity required from \( \mu \text{Ci} \) to \( \text{mCi} \).
3. **Calculate the Volume of Solution:**
- Concentration of the solution = 4.0 \( \text{mCi/mL} \)
- Use the formula:
\[
\text{Volume (mL)} = \frac{\text{Total Activity (mCi)}}{\text{Concentration (mCi/mL)}}
\]
- Calculate the volume of solution needed.
**Additional Notes:**
- Ensure all units are consistent during calculations.
- Verify calculations to maintain treatment accuracy.
**Interactive Features:**
- **Check My Work**: An option to verify the correctness of the calculated answer.
- **Hint**: Provides guidance on approaching the solution.
- **Solution**: Shows the complete step-by-step solution to the problem.
- **Guided Solution**: Offers detailed guidance and explanations for each step, ideal for learning purposes.
**Note**: Understanding how to perform unit conversions and calculate dosages accurately is crucial in medical treatments involving radioactive materials.
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