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" A banana contains about 420 mg of potassium, of which asmall fraction is the radioactive...

" A banana contains about 420 mg of potassium, of which asmall fraction is the radioactive isotope (Appendix B).Estimate the activity of an average banana due to . "
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Answer #1

The expression for the number of the radioactive nuclei in terms of material mass is,

Here, is atomic mass and is Avogadro number.

Substitute 420 mg for mass, for Avogadro number and 40 g/ mole for atomic mass in equation (2).

Thus, the required number of nuclei is.

The expression for the activity in terms of initial number of nuclei is

Here, is initial number of nuclei and is half-life.

Substitute for number of nuclei and for half-life.

Therefore, the initial activity potassium-40 of the sample is.

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