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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?

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Solution

Sure, here's how you can calculate it:

  1. 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.

  2. After 1 month (1 half-life), half of the original amount will be left. So, 6,080 grams will become 3,040 grams.

  3. After 2 months (2 half-lives), half of the remaining amount will decay. So, 3,040 grams will become 1,520 grams.

  4. After 3 months (3 half-lives), half of the remaining amount will decay. So, 1,520 grams will become 760 grams.

  5. 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.

This problem has been solved

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