Question
If only one-eighth of the sodium-24 remains, roughly how many hours have elapsed, given its half-life is approximately 15 hours?(1 point)
Responses
45 hours
45 hours
30 hours
30 hours
60 hours
60 hours
15 hours
Responses
45 hours
45 hours
30 hours
30 hours
60 hours
60 hours
15 hours
Answers
GPT-4o mini
The half-life of sodium-24 is 15 hours. To determine how many half-lives it takes for only one-eighth of the original amount to remain, we can use the following:
1. One half-life reduces the amount to half (1/2).
2. Two half-lives reduce it to one-quarter (1/4).
3. Three half-lives reduce it to one-eighth (1/8).
So, it takes three half-lives to go from the original amount to one-eighth of the amount.
Given that each half-life is 15 hours:
Total time = 3 half-lives × 15 hours/half-life = 45 hours.
Therefore, the answer is **45 hours**.
1. One half-life reduces the amount to half (1/2).
2. Two half-lives reduce it to one-quarter (1/4).
3. Three half-lives reduce it to one-eighth (1/8).
So, it takes three half-lives to go from the original amount to one-eighth of the amount.
Given that each half-life is 15 hours:
Total time = 3 half-lives × 15 hours/half-life = 45 hours.
Therefore, the answer is **45 hours**.