Question

4. Two scientists are experimenting with pure samples of isotope X, a highly radioactive substance. The first scientist has a sample with a mass of 20 grams. He
measures a half-life of 232 seconds. The second scientist has a sample of the same substance with a mass of 80 grams. What is the half-life that she is most likely
to measure?
A. 58 seconds
B.232 seconds
C.464 seconds
D. 928 seconds

Answer 1

Answer:

D

Explanation:

The substances are the exact same!

The half life should be the same too :)

A half life is how long it takes for a substance to break down and leave your system.

So for 20 grams, it goes away in 232 seconds, but for 80 grams, which is 4 times the amount, you would also multiply the half life by 4

I hope this is correct!

Answer 2

The half-life of the sample of isotope X of 80 grams is the same as that of the sample of 20 grams, that is, 232 seconds (option B).    

To find the answer, we need to remember the definition of half-life.

The half-life ($t_{1/2}$) of a radioactive substance is the time at which the initial amount of a substance (the number of disintegrations, mass, activity) decreases by half after it decays into another substance, due to the emission of radiation in the form of a particle (alpha, beta⁺, beta⁻) or energy (gamma-ray or X-ray).        

Since the two scientists are experimenting with the same isotope X, the half-life of the sample is the same, regardless of its initial and final mass, so the half-life of the sample of 80 g is 232 seconds.  

Therefore, the answer is option B (232 seconds).

Learn more about half-life here:

https://brainly.com/question/13234158?referrer=searchResults

https://brainly.com/question/7612438?referrer=searchResults

I hope it helps you!