![]() ![]() So, # 2 * t_("1/2") = 1000 -> t_("1/2") = 1000/2 = 500#"years"#. Radioisotopes in Medicine (Updated February 2023) Nuclear medicine uses radiation to provide diagnostic information about the functioning of a persons specific organs, or to treat them. In this case, since 25 represents 1/4th of 100, two hal-life cycles must have passed in 1,000 years, since Let's say you started with 100 g and ended up with 25 g after 1,000 years. How many protons, neutrons, and electrons are in atoms of these isotopes Write the complete electron configuration for each isotope. Sometimes, if the numbers allow it, you can work backwards to determine an element's half-life. Answer: Cobalt60 and iodine131 are radioactive isotopes commonly used in nuclear medicine. So, the initial mass gets halved every 7.72 years. The radiation from a radioactive material called cobalt-60 is used. Therefore, its half-life is #t_("1/2") = 98.0/(12.7) = 7.72#"years"#. For thyroid cancer, radioactive iodine, called iodine-131, is administered to the patient. It is generated artificially in nuclear reactors. Cobalt - 60: Cobalt-60 (60Co) is an artificial radioactive isotope of cobalt with a half-life of 5.2713 years. Diagnostic procedures using radioisotopes are now routine. #0.01 = 67.0 * (1/2)^(98.0/t_("1/2")) -> 0.01/67.0 = 0.000149 = (1/2)^(98.0/(t_("1/2"))# Detailed Solution Download Solution PDF The correct answer is Cobalt - 60. Radioisotopes in Medicine (Updated February 2023) Nuclear medicine uses radiation to provide diagnostic information about the functioning of a person's specific organs, or to treat them. Here's how you would determine its half-life: It started from a mass of 67.0 g and it took 98 years for it to reach 0.01 g. Let's say you have a radioactive isotope that undergoes radioactive decay. So, if a problem asks you to calculate an element's half-life, it must provide information about the initial mass, the quantity left after radioactive decay, and the time it took that sample to reach its post-decay value. #t_("1/2")# - the half-life of the decaying quantity. #A_0# - the initial quantity of the substance that will undergo decay Exponential decay can be expressed mathematically like this: Nuclear half-life expresses the time required for half of a sample to undergo radioactive decay. ![]()
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