If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af

Question

luda_lava [24]

3 years ago

12

If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af

ter 32 hours? Is the radioactive decay modeled by a linear function or an exponential function?

Mathematics

2 answers:

Evgesh-ka [11] · Answer 1 · 2022-08-31T09:34:09+03:00

Evgesh-ka [11]3 years ago

8 0

Answer:

22.5 grams; exponential

Step-by-step explanation:

Did it on usa test prep and got it right

lyudmila [28] · Answer 2 · 2022-08-31T08:05:12+03:00

Answer:

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

1/16 * 360

22.5 grams

And this is an exponential function.