How much time would it take for 9000 atoms of nobellium-253 (half-life is 97 s) to decay to 2250 atoms?
a)291 s
b)97 s
c)48.5 s
d)194 s
Please help ASAP!!! :(
My bad it's actually a Science question :D
To solve this problem, we can use the concept of half-life to determine how long it takes for a given amount of a radioactive substance to decay.
The half-life of nobellium-253 is given as 97 seconds. This means that in 97 seconds, half of the atoms will decay, and the remaining half will still be present.
Let's solve the problem step by step:
1. Start with 9000 atoms of nobellium-253.
2. After one half-life (97 seconds), half of the atoms will decay. Therefore, we will have 9000 / 2 = 4500 atoms remaining.
3. After a second half-life (another 97 seconds), half of the remaining atoms will decay. So we will have 4500 / 2 = 2250 atoms remaining.
Since it took 2 half-lives for the number of atoms to decrease from 9000 to 2250, and each half-life is 97 seconds long, the total time required is 2 * 97 = 194 seconds.
Therefore, the correct answer is option d) 194 s.
I hope this explanation helps!
(1/2)^n = 2250 / 9000 = 1/4
n = 2
2 half-lives