High School

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A sample of strontium-89 undergoes nuclear decay to form yttrium-89. After 153 days, 60.0 grams of strontium-89 is reduced to 7.5 grams. What is the half-life of strontium-89?

A. 51 days
B. 55 days
C. 13 days
D. 8 days

Answer :

Final answer:

The half-life of strontium-89 is calculated using the decay of a sample from 60.0 grams to 7.5 grams over a period of 153 days. After determining that three half-lives have occurred, it is found to be 51 days.

Therefore, the half-life of strontium-89 is 51 days, matching answer choice A.

Explanation:

The student has asked about the half-life of strontium-89, which is a concept in nuclear chemistry. To calculate the half-life, we can use the data provided where 60.0 grams of strontium-89 decays to 7.5 grams after 153 days. Using the formula for half-life (T1/2) and the fact that each half-life period reduces the sample by half, we can calculate the number of half-lives that have occurred by using the following steps:

  1. First, determine the number of half-lives:
    (60.0 g) ÷ (2n) = 7.5 g, where n is the number of half-lives.
  2. Next, solve for n, which turns out to be 3.
  3. Then calculate the length of one half-life:
    153 days ÷ 3 = 51 days.

Therefore, the half-life of strontium-89 is 51 days, matching answer choice A.

Thanks for taking the time to read A sample of strontium 89 undergoes nuclear decay to form yttrium 89 After 153 days 60 0 grams of strontium 89 is reduced to 7. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada