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A radioactive element has a half-life of 2,000 years. If a sample of this element begins with a mass of 100 grams, how long would you have to wait for the mass to decrease to 25 grams?A.4,000 yearsB.8,000 yearsC.500 yearsD.2,000 yearsSUBMITarrow_backPREVIOUS

Question

A radioactive element has a half-life of 2,000 years. If a sample of this element begins with a mass of 100 grams, how long would you have to wait for the mass to decrease to 25 grams?A.4,000 yearsB.8,000 yearsC.500 yearsD.2,000 yearsSUBMITarrow_backPREVIOUS

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Solution

The half-life of a radioactive element is the time it takes for half of the element to decay. In this case, the half-life is 2,000 years.

Step 1: After 2,000 years (one half-life), half of the 100 grams would have decayed. So, we would be left with 50 grams.

Step 2: After another 2,000 years (another half-life), half of the remaining 50 grams would have decayed. So, we would be left with 25 grams.

Therefore, it would take 2,000 years + 2,000 years =

This problem has been solved

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