Here are some half-lives for different isotopes of bismuth (Bi):
Bi-211 — 2.1 minutes
Bi-212 — 60.6 minutes
Bi-213 — 45.7 minutes
Bi-214 — 19.9 minutes
If there are 200 grams of one isotope of bismuth, and after 60.6 minutes there are 100 grams of bismuth, what isotope is it?
So the Bi has gone through 1 half life since it has decreased from 200 g to 100 g. And it did that in 60.6 minutes so the half life of the isotope must be 60.6 minutes. and that is .......?
no but these are my choices
A. Bi-212
B. Bi-211
C. Bi-213
D. Bi-214
WHICH ONE HAS A HALF-LIFE OF 60.6?
Answer anyone?
To determine which isotope of bismuth it is, we can compare the half-life of each isotope to the given time of 60.6 minutes. Let's go through the process step-by-step:
1. Start by comparing the given half-life of each isotope to the time elapsed of 60.6 minutes:
- Bi-211 has a half-life of 2.1 minutes, which is significantly shorter than 60.6 minutes.
- Bi-212 has a half-life of 60.6 minutes, which matches the given time exactly.
- Bi-213 has a half-life of 45.7 minutes, which is shorter than 60.6 minutes.
- Bi-214 has a half-life of 19.9 minutes, which is also shorter than 60.6 minutes.
2. Since the quantity of bismuth decreased from 200 grams to 100 grams after 60.6 minutes, we can conclude that the isotope with a half-life of 60.6 minutes, Bi-212, is the one we are looking for.
So, the isotope involved is Bi-212.