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How much of a 100 g sample of Co-60 will have decayed after 25 years if it has a half-life of 5 years?

A. 6.25 g
B. 12.5 g
C. 18.75 g
D. 25 g

Answer :

Final answer:

After 25 years, 18.75g of a 100g sample of Co-60 will have decayed.

Explanation:

The half-life of Co-60 is 5 years, which means that after 5 years, only 50% of the original sample will remain. Using this information, we can calculate the amount of Co-60 that will have decayed after 25 years.

Since the half-life is 5 years and 25 years is 5 times the half-life, we can divide 100g by 2^5 (since each half-life reduces the amount by half) to find the amount that will remain.

Therefore, after 25 years, 18.75g of the 100g sample of Co-60 will have decayed.

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