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Radioactive Decay Law

Radioactive Decay Law. Concept of Half Life. The half-life of 99m Tc is 6 hours. After how much time will 1/16th of the radioisotope remain?. Question. Calculate the Decay Constant. Apply the Radioactive Decay Law. re-write it in the form:.

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Radioactive Decay Law

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  1. Radioactive Decay Law Concept of Half Life

  2. The half-life of 99mTc is 6 hours. After how much time will 1/16th of the radioisotope remain? Question

  3. Calculate the Decay Constant

  4. Apply the Radioactive Decay Law re-write it in the form:

  5. The question tells us that N0has reduced to 1/16th of its value, that is: can re-written in the form:

  6. Solving for t this: Can be written like this:

  7. To solve for t Multiply both sides by ln, to clear the exponential function (exp): • ln exp (-0.1155t) = -0.1155t • ln 16 -1 = -2.77 Transpose (rearrange) the equation, and it becomes: t = -2.77 / -0.1155 = 24 Solution: it will take 24 hours until 1/16th of the radioactivity remains

  8. The half-life of 99mTc is 6 hours. After how much time will 1/32nd of the radioisotope remain? Question

  9. Answer

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