Answer :
Final answer:
If you begin with 86.7 milligrams of cesium-137 and the half-life of cesium-137 is 30.2 years, you can calculate the amount of cesium-137 after a certain time using the formula N = N0 * (1/2)^(t/T), where N is the final amount, N0 is the initial amount, t is the time elapsed, and T is the half-life of the isotope.
Explanation:
To calculate the amount of cesium-137 remaining after a certain time, we can use the formula:
N = N0 * (1/2)^(t/T)
Where:
- N is the final amount of cesium-137
- N0 is the initial amount of cesium-137
- t is the time elapsed
- T is the half-life of cesium-137
In this case, the initial amount of cesium-137 is 86.7 milligrams and the half-life is 30.2 years. Let's assume we want to find the amount of cesium-137 after a certain number of years, represented by t.
Plugging in the values, we have:
N = 86.7 * (1/2)^(t/30.2)
Now, you can substitute the desired value of t to find the final amount of cesium-137.
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