Answer :
Final answer:
The decay of cesium-137 is an exponential process with a half-life of around 30 years. Therefore, it would take approximately 60 years for 32 mg of cesium-137 to decay to 8 mg.
Explanation:
The radioactive decay of a substance like cesium-137 is an exponential process where the amount of substance decreases by half over a fixed period of time known as the half-life. This means that every half-life, the amount of the substance is reduced by 50%. In the case of cesium-137, the half-life is approximately 30 years.
Starting with 32 mg of cesium-137, after one half-life (30 years), there would be 16 mg left. After another half-life (another 30 years), there would be 8 mg left. Therefore, it takes two half-lives or 60 years for 32 mg of cesium-137 to decay to 8 mg.
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