If you have 400 grams of a substance that decays with a half-life of 14 days, then how much will you have after 56 days? To help you answer the question, complete the table below. If appropriate, include units.

Chart:

Half Lives 0 1 _ 3 _

Total Time 0 _ 28 days _ _

___ _ 200g _ _ ___

You strat off with 400 grams of your substance. By day 14, half has dcayed and you only have 200 grams left. By day 28, there are 100 grams of the substance. On day 42, there are 50 grams left. Finally, on day 56, the substance has been through four half-lives and 25 grams remain.

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AnkitM AnkitM · Answer 2 · 2022-05-26T16:43:10+02:00

After four half-lives, 25g of substance are left.

What is half-life?

The half-life is the amount of time taken by the radioactive substances to decay half of its initial quantity.

How to calculate half-life?

Find the decay constant of a substance.
Divide in 2 by the decay constant of the substance.

Initially, if you start with 400 grams of a substance by day 14, half of the substances would have decayed in the first half-life and you have 200 grams left.

During the second half life i.e., 28 days, there are 100 grams of a substance. After the third half-life (after 42 days) there are 50 grams of the substance. The substance has undergone four half-lives by day 56 and 25 grams of the substance are left.

Hence, the answer to this question is 25g.

To learn more about half-life here

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