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Question 7
7. (a) Which of these describes isotopes of an element? A same atomic number different number of neutrons B same atomic number different number of protons ... show full transcript
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Answer
To estimate the activity of the cobalt-60 source in the year 2020, we need to calculate the number of half-lives that have passed from 2000 to 2020. This is a span of 20 years, which accounts for:
ext{Number of Half-Lives} = rac{20 ext{ years}}{5 ext{ years/half-life}} = 4 ext{ half-lives}
Next, since each half-life reduces the activity by half, the fraction of the activity remaining after 4 half-lives can be expressed as:
ext{Remaining Activity} = rac{1}{2^4} = rac{1}{16}
So, the activity in 2020 would be:
38.5 ext{ kBq} imes rac{1}{16} = 2.40625 ext{ kBq} ext{ (approximately } 2.4 ext{ kBq)}
Thus, the estimated activity of the source in the year 2020 is approximately 2.4 kBq.
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