Calculating Radioactive Sample Activity

00:00 3 marks

A sample of a radioactive isotope contains \(6.0 \times 10^{18}\) radioactive nuclei and has a decay constant of \(2.5 \times 10^{-4}\, \text{s}^{-1}\). Using the relationship \(A = \lambda N\), calculate the activity of the sample in becquerels (Bq). Express your answer in scientific notation to the appropriate number of significant figures.

Hint Hint

Hint

Recall that activity \(A\) is the product of the decay constant \(\lambda\) and the number of nuclei \(N\). Ensure your final answer has the correct units (Bq) and significant figures based on the data provided.

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Complete Answer

1.5 \(\times 10^{15}\) Bq

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