Math Problem Statement
Sr-90 is present in 1950 with an initial activity of 10 mbq how much will remain approximately in year 2010
Solution
To determine how much of Strontium-90 (Sr-90) will remain by 2010, we need to use the concept of radioactive decay. Strontium-90 has a half-life of approximately 28.8 years.
The formula for radioactive decay is:
Where:
- is the activity at time ,
- is the initial activity (10 MBq in 1950),
- is the half-life (28.8 years for Sr-90),
- is the time elapsed (2010 - 1950 = 60 years).
Now let's calculate the remaining activity.The remaining activity of Sr-90 in the year 2010 would be approximately 2.36 MBq, starting from 10 MBq in 1950.
Do you need more details or have any questions? Here are 5 related questions you might find interesting:
- How is the half-life of a radioactive substance determined experimentally?
- What factors influence the rate of radioactive decay?
- How does the decay of Sr-90 affect the environment and human health?
- Can the decay of a radioactive isotope like Sr-90 be reversed or slowed down?
- What are some common uses of Sr-90 in industry and medicine?
Tip: Understanding half-life helps estimate how long it takes for radioactive materials to decay to safe levels.
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Math Problem Analysis
Mathematical Concepts
Radioactive Decay
Exponential Decay
Half-Life
Formulas
A(t) = A_0 × (1/2)^(t / T_1/2)
Theorems
Radioactive Decay Law
Suitable Grade Level
Grades 10-12
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