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Activity of a given mass of a radioactive substance

This type of question, asked 3 times: 2021 Paper 6, 2021 Paper 14, 10 Apr 2023. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 6

    9
    The half-life of Au198Au^{198} is 2.7 days. The activity of 1.50mg1.50mg of Au198Au^{198} if its atomic weight is 198 g mol−1198\text{ }g{\text{ }mol}^{- 1} is, (NA=6×1023/mol)\left( N_{A}= 6 \times10^{23}/mol \right)

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  2. Question 2

    2021 Paper 14

    7
    Half life time of Gold is 3 days. Find the activity of a sample of 2mg2mg of gold.

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  3. Question 3

    10 Apr 2023

    27
    The decay constant for a radioactive nuclide is 1.5×10−5 s−11.5 \times10^{- 5}{\text{ }s}^{- 1}. Atomic mass of the substance is 60 g60\text{ }g mole  −1,( NA=6×1023)\ ^{- 1},\left( {\text{ }N}_{A}= 6 \times10^{23} \right). The activity of 1.0μg1.0\mu g of the substance is___ ×1010 Bq\times10^{10}\text{ }Bq.