How much of a radioactive kind of chromium will be left after 4 months if you start with 6,080 grams and the half-life is 1 month?
Question
How much of a radioactive kind of chromium will be left after 4 months if you start with 6,080 grams and the half-life is 1 month?
Solution
Sure, here's how you can calculate it:
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First, understand that half-life is the time it takes for half of the radioactive substance to decay. In this case, the half-life of the chromium is 1 month.
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After 1 month (1 half-life), half of the original amount will be left. So, 6,080 grams will become 3,040 grams.
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After 2 months (2 half-lives), half of the remaining amount will decay. So, 3,040 grams will become 1,520 grams.
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After 3 months (3 half-lives), half of the remaining amount will decay. So, 1,520 grams will become 760 grams.
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After 4 months (4 half-lives), half of the remaining amount will decay. So, 760 grams will become 380 grams.
So, after 4 months, there will be 380 grams of the radioactive chromium left.
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