Sodium-24 is a radioactive isotope that is used in diagnosing circulatory disease. It decays into stable isotopes of sodium at a rate of 4.73 % per hour. a. Technicians inject a quantity of sodium-24 into a patient's bloodstream. Write a formula for the amount of sodium-24 present in the bloodstream as a function of time. Use A for the initial amount of sodium-24. S(t) = Preview b. How long will it take for 75 % of the isotope to decay? Answer exactly or round to 3 decimal places. hours Preview
Sodium-24 is a radioactive isotope that is used in diagnosing circulatory disease. It decays into stable isotopes of sodium at a rate of 4.73 % per hour. a. Technicians inject a quantity of sodium-24 into a patient's bloodstream. Write a formula for the amount of sodium-24 present in the bloodstream as a function of time. Use A for the initial amount of sodium-24. S(t) = Preview b. How long will it take for 75 % of the isotope to decay? Answer exactly or round to 3 decimal places. hours Preview
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Sodium-24 Decay in Medical Diagnostics**
Sodium-24 is a radioactive isotope used in diagnosing circulatory disease. It decays into stable isotopes of sodium at a rate of 4.73% per hour.
**Exercises:**
**a. Formula for Decay:**
Technicians inject a quantity of sodium-24 into a patient's bloodstream. Write a formula for the amount of sodium-24 present in the bloodstream as a function of time. Use \( A \) for the initial amount of sodium-24.
\[ S(t) = \]
**b. Time for 75% Decay:**
How long will it take for 75% of the isotope to decay? Provide the answer exactly or rounded to three decimal places.
\[ \text{_____ hours} \]
**Get Help:** [eBook]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e7b5125-c418-404d-bb06-f6740146f4f8%2Fe4137e2e-6183-4239-b92e-6dcb68eea777%2F1lju7c_processed.png&w=3840&q=75)
Transcribed Image Text:**Sodium-24 Decay in Medical Diagnostics**
Sodium-24 is a radioactive isotope used in diagnosing circulatory disease. It decays into stable isotopes of sodium at a rate of 4.73% per hour.
**Exercises:**
**a. Formula for Decay:**
Technicians inject a quantity of sodium-24 into a patient's bloodstream. Write a formula for the amount of sodium-24 present in the bloodstream as a function of time. Use \( A \) for the initial amount of sodium-24.
\[ S(t) = \]
**b. Time for 75% Decay:**
How long will it take for 75% of the isotope to decay? Provide the answer exactly or rounded to three decimal places.
\[ \text{_____ hours} \]
**Get Help:** [eBook]
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