Finding the Half Life From Activity

In summary, the conversation is about deducing the half life from a table, but the textbook's answer of 1 minute does not match the initial understanding that the half life occurs when the initial activity is halved. The person asking the question initially calculated a half life of 2.34 minutes by halving the initial activity of 36506, but realizes this is incorrect. They question how the answer can be in minutes when the timing in the table is in hours. It is then clarified that the answer is actually 2.34 hours, not minutes, but it still does not match the textbook's answer of 1 minute. The person is unsure of what to do next.
  • #1
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I am meant to deduce the half life from this table (as attached.) I was under the impression that the half life would occur when the initial activity was halved but my answer of 2.34 minutes (from halving the initial activity of 36506) is wrong. Instead, the answer the textbook got was 1 minute. What did I do wrong?
 

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  • #2
Are you sure these things are related? How can the answer be in minutes when the timing was over hours?
 
  • #3
The answer was one minute and I got an 2.34 hours (my mistake.) I'm not sure what to do now...
 
  • #4
The answer of one minute does not match with this question.A quick glance at the table shows the answer is over two hours.
 
  • #5


Based on the provided table, it appears that the initial activity was measured at 36506 counts per minute (cpm) and after 1 minute, the activity was measured at 18253 cpm. Based on this information, it is correct to assume that the half life occurred at 1 minute, as the initial activity was halved at this time. Therefore, the textbook's answer of 1 minute is correct.

It is possible that you may have made a calculation error when halving the initial activity of 36506 cpm. Double check your calculations to ensure accuracy. Additionally, it is important to note that the half life may not always occur exactly when the initial activity is halved. It is possible for there to be some deviation due to experimental error or other factors. However, in this case, the half life does appear to have occurred at 1 minute.
 

FAQ: Finding the Half Life From Activity

What is half-life in terms of radioactive decay?

Half-life is the amount of time it takes for half of the radioactive atoms in a sample to decay into a more stable form.

How is half-life related to activity?

Activity is a measure of the number of decays per second in a radioactive sample. As time passes and the half-life is reached, the activity decreases by half.

What is the formula for finding half-life from activity?

The formula is t1/2 = ln(2)/λ, where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay constant.

Can half-life be calculated from a single activity measurement?

No, half-life cannot be calculated from a single activity measurement. At least two measurements are needed at different times to determine the half-life.

Why is finding the half-life from activity important in scientific research?

Finding the half-life from activity allows scientists to better understand the behavior and stability of radioactive materials. This information is crucial in fields such as nuclear energy, medicine, and environmental science.

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