Respuesta :
14.375 grams of the radioactive isotope will be left after 3 half-lives.
The initial mass of the isotope = 115 gm
after each half-life, the amount of the isotope is reduced to half
therefore,
after the first half-life, the mass of the isotope will become = 115/2
= 57.5 gram
now after the second half live, the mass will again be reduced to half of the previous mass = 57.5/2
= 28.75 gram
similarly, after the third half-life, the mass will be half of the previous mass = 28.75/ 2
= 14.375 gram
OR
simply we can write that
weight after 3 half-lives will be = 115/ 2³
= 115 / 8
= 14.375 grams.
So the mass after 3 half-lives is 14.375 grams.
A risky form of a chemical element that releases radiation as it breaks down and will become extra stable. Radioisotopes may additionally arise in nature or be made in a laboratory. In medication, they may be used in imaging exams and in treatment. additionally known as a radionuclide.
Atoms of equal detail with extraordinary numbers of neutrons are known as isotopes. Many elements have one or extra isotopes which might be radioactive. Their nuclei are risky, so they destroy down, decay, and emit radiation.
whilst utilized in cautiously controlled clinical programs, radioactive isotopes are safe and no longer almost as frightening as we first imagined. The radiation from those isotopes has a quick half of lifestyles and handiest give off low stages of radiation. Radioactive isotopes are not constantly risky, though. a few most effective ones supply tiny amounts of radiation. There are radioactive isotopes in nature all around us. maximum of them cause us very little damage.
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