---
title: "A synthetic radioisotope used in targeted radiotherapy decays via first-order kinetics with a rate constant \\(k = 2.77 \\times 10^{-2} \\text{ day}^{-1}\\). A hospital laboratory receives a sealed container holding a \\(32.0 \\text{ mg}\\) sample of this pure isotope. Assuming no additional isotope is introduced, which of the following is the mass of the radioisotope remaining in the container after \\(100 \\text{ days}\\)?"
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url: "https://nerd-notes.com/ubq/119690/"
date_modified: "2026-08-21T08:12:03+00:00"
---

# A synthetic radioisotope used in targeted radiotherapy decays via first-order kinetics with a rate constant \(k = 2.77 \times 10^{-2} \text{ day}^{-1}\). A hospital laboratory receives a sealed container holding a \(32.0 \text{ mg}\) sample of this pure isotope. Assuming no additional isotope is introduced, which of the following is the mass of the radioisotope remaining in the container after \(100 \text{ days}\)?

A synthetic radioisotope used in targeted radiotherapy decays via first-order kinetics with a rate constant \(k = 2.77 \times 10^{-2} \text{ day}^{-1}\). A hospital laboratory receives a sealed container holding a \(32.0 \text{ mg}\) sample of this pure isotope. Assuming no additional isotope is introduced, which of the following is the mass of the radioisotope remaining in the container after \(100 \text{ days}\)?

- **A.** \(1.00 \text{ mg}\)
- **B.** \(2.00 \text{ mg}\)
- **C.** \(4.00 \text{ mg}\)
- **D.** \(8.00 \text{ mg}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/119690/*