A radioactive isotope has a half-life of 8 years. If a sample initially weighs 200 grams, how much remains after 25 years? Round to the nearest tenth.

Wed, 06 May 2026 10:04:48 +0000

**Why Understanding Radioactive Half-Lives Matters — and How 200 Grams Decay Over 25 Years** Curiosity often drives people toward the invisible forces shaping our world—like the slow transformation of radioactive materials. With growing interest in sustainable energy, medical imaging, and nuclear safety, understanding half-lives has become more relevant than ever. One common question highlights this: *If a 200-gram sample of a radioactive isotope decays over 25 years with a half-life of 8 years, how much remains?* The answer reveals more than numbers—it reflects broader trends in science, health, and technology. This quick look at decay dynamics doesn’t just solve a math puzzle; it illuminates why radioactive isotopes remain central to energy production, cancer treatment, and age estimation. With accurate data and clear context, we demystify a concept frequently cited in technical discussions and educational resources across the U.S. ---