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Cesium-137 is part of the nuclear waste produced by uranium-235 fission. The half-life of cesium-137 is 30.2 years. If you begin with 86.7 milligrams of cesium-137, how many milligrams will you have left after a certain period?

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.

Learn more about calculating the amount of cesium-137 after a given time here:

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