A sample of radioactive nuclei has N0 nuclei at time t = 0. The half-life of the decay is T1/2. In terms of N0, how many decays occur in the time period between t = 0 and t = 0.500T1/2?
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A sample of radioactive nuclei has N0 nuclei at time t = 0. The half-life of the decay is T1/2. In terms of N0, how many decays occur in the time period between t = 0 and t = 0.500T1/2?

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- Uranium (protons = 92, neutrons = 146, atomic mass = 238.050788 u) decays via alpha decay to Thorium (protons = 90, neutrons = 144, atomic mass = 234.043601 u). What is the kinetic energy of the emitted alpha particle? (Hint: Any energy that is not locked up in rest energy of the product nuclei will go to kinetic energy in the alpha particle.) (Hint: the answer is 4.27 MeV)Carbon-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.The uranium decay series from U-238 to stable lead (Pb-206) is: U → Th → *Pa → U → 0Th → Ra → Rn → 18Th → Pb → Bi 238U 234TH 226 → Po 92 92 210Pb → 210 Bi → 210P0 → 206Pb 83 84 Of the 15 nuclei from U-238 to Pb-206, list those radionuclides that are alpha-particle emitters, and those that are beta-particle emitters. State your reasons.
- Time 0 t₁2 20₁2 3₁/12 Number of nuclides, N x 10³ 1000 750 500 90/2 10/₁2 250 125 0 12 212 312 412 512 612 7h2 8h2 9h12 10/2 Time in multiples of t₁/2 The figure shows a typical radioactive decay (amount of undecayed nucleus (N) vs. time (t)) from a heavy nucleus. Such a decay may be best expressed by an equation like : ON = N₂ (xt) ON=N₂/λt -λt ON = N₂e N = N₂ e-1/At N 1,000,000 500,000 250,000 125,000 62,500 31,250 15,625 7,813 3,906 1,953 977 412 5/₁/2 61₁2 7h2 81/2Radon gas has a half-life of 3.83 days. If 2.70 g of radon gas is present at time t = 0, what mass of radon will remain after 2.40 days have passed?