. The decay constant of lodine-123 is 1.34 x 10-5 s-1. What is its half-life and how long will it take for the radionuclide to decay to one-tenth of its original activity?
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- What is the half‑life of an isotope that decays to 6.25%6.25% of its original activity in 24.2 h?24.2 h? half‑life:iodine 131 has a half life of 8.04 days if you start with a radioactivr I 131 sample having an activity equal to 40 microci after how long is the activity going to be 4cmicrociE c) For a radio-nuclide, a number No of atoms at time t = 0 decays as N(t) = No e¯‹, where A is the decay constant. i) Derive the relationship between the half-life t₁ and the time constant □ = = 1/λ. ii) The radio-nuclide radium-226 has a half-life of 1600 years. Calculate the activity of one gram of radium in Becquerels. iii) Radium-226 decays to radon-222, known as the daughter product. The amount of a daughter product present will vary with time, Na(t). Sketch two graphs, with appropri- ate axes and labels, to show schematically how N(t) and Na(t) evolve if Na(0) = 0, for the two extreme cases where the daughter product is much more radioactive than the parent (\d >> \) and where the daughter product is much less radioactive than the parent (\a << λ). Given that the half-life of radon-226 is 3.8 days, indicate which graph is relevant and estimate the amount of radon in equilibrium with one mole of radium.
- Archeologist extracted 179 gm of carbon from an animal bone from an archeological site. The carbon shows an activity of 15 decays/s. (Half-life of 146C = 5730 years, 1 year = 3.156 x 107 seconds, Avogadro's number = 6.02 x 1023 atoms/mol) (A) Total number of atoms in this carbon sample = . (B) Decay constant of 146C, λ = . (C) Number of 146C atoms in this sample = . (D) Activity of 146C at time (t = 0) = . (E) Age of the animal =A 25g piece of charcoal is discovered in a prehistoric cave. Carbon 14 of the sample shows a radioactive activity of 250 disintegrations / minute. If we estimate that originally the decay was 376 decays / minute, for how long is the tree from which the carbon sample was taken dead? The half-life of carbon-14 is 5730 years.Mantles for gas lanterns contain thorium, because it forms an oxide that can survive being heated to incandescence for long periods of time. Natural thorium is almost 100% 232Th, with a half-life of 1.405 x 10¹0 y. If an average lantern mantle contains 270 mg of thorium, what is its activity (in Bq)? XBq t
- The half-life of 1311 is 8.04 days. (a) Convert the half-life to seconds. S (b) Calculate the decay constant for this isotope. S-1 (c) Convert 0.570 μCi to the SI unit the becquerel. Bq (d) Find the number of 13¹1 nuclei necessary to produce a sample with an activity of 0.570 μCi. 1311 nuclei (e) Suppose the activity of a certain 13¹1 sample is 6.90 mCi at a given time. Find the number of half-lives the sample goes through in 40.2 d and the activity at the end of that period. (Enter your answer for the number of half-lives to at least one decimal place.) half-lives mCiCarbon-14, with a half-life of 5730 years, has a decay constant of λ = 1.21 × 10-4 yr-1. A piece of wood from an archaeological site is found to have 1.9 % of its original carbon-14. How many years old (t) is the piece of wood? Express your answer in scientific notation. Example: 1.23e4.Plutonium-239 (t1₁/₂=2.41X10⁴yr) represents a serious nuclear waste hazard. If seven half-lives are required to reach a tolerable level of radioactivity, how long must ²³⁹Pu be stored?
- Note in Table that the half-lives of two abundant isotopes of tellurium are more than 1021 years. (a) What is the decay rate per unit mass of 128Te, which decays by emitting two β-, in units of s-1 . kg-1? (b) How much mass of a natural sample of tellurium would it take to measure a decay rate of 10 β-/s for 128Te?The activity of a radioactive sample is 4500 TBq with a half-life of 32 days. What is the mass of the sample if the atomic mass of the substance is 230 u? Give the answer in grams. (Calculate the number of cores first.)I need the answer as soon as possible