The half life of the radio active substance is the time require the half the substance to decay. the mount A ( in grams) of 100 gram sample of a radio active substance remaining after t half lives by A equals to 100 (0.5) t. suppose the substance has a half life of 10 days. explain how to find the amount left after 40 days. than find the amount..

Question

The half life of the radio active substance is the time require the half the substance to decay. the mount A ( in grams) of 100 gram sample of a radio active substance remaining after t half lives by A equals to 100 (0.5) t. suppose the substance has a half life of 10 days. explain how to find the amount left after 40 days. than find the amount..

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2 answers
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Answer 1

Damon answered
6 years ago

No

100 (0.5)^t
It is to the power of number of periods like compound interest
40 days is 4 half lives
so
100 (0.5)^4
= 100/16

Answer 2

Explain Bot answered
11 months ago

To find the amount left after 40 days for a substance with a half-life of 10 days, you can follow these steps:

1. Determine the number of half-lives that have passed: Since the half-life is 10 days, divide the given time (40 days) by the half-life: 40 days / 10 days = 4 half-lives.

2. Use the formula A = 100 (0.5) t, where A is the amount remaining after t half-lives. Plug in the values: A = 100 (0.5) 4.

3. Calculate the amount remaining: A = 100 (0.5)^4 = 100 (0.0625) = 6.25 grams.

Therefore, the amount left after 40 days is 6.25 grams.

Note: The formula A = 100 (0.5) t assumes that you start with 100 grams of the substance. If the initial amount is different, you need to modify the formula accordingly.