The half-life for the a decay of uranium 2U is 4.47 x 10° yr. Determine the age (in years) of a rock specimen that contains 48.6% of its original number of atoms. t-Number Units
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- If it is known that 87% of an initial radioactive sample remains after 3 days, what is the decay rate λ of the sample in units of decays/day?The radium isotope 226 Ra has a hall-life of 1600 years. A sample begins with 3.50x1010 226 Ra atoms. Y Part C N Submit How many are left after 400 years? 195] ΑΣΦ Submit Request Answer Part B How many are left after 2000 years? N= 1971 ΑΣΦ Submit How many are left after 35000 years? Request Answer ΜΕ ΑΣΦΑ Request Answer BAC ? ?The half-life of beryllium-7 is about 53.3 days. (a) Determine the decay constant for beryllium-7. (b) What percentage of a sample remains undecayed after two weeks (1.21 ✕ 106 s)?
- S Thorium-234 is a radioactive element that has a decay constant of 3.33 × 10-7s ¹. It decays by beta-decay with an energy of 270 keV. A sample of pure Th-234 has an initial activity of 8.56 × 10¹3 Bq. i) Calculate the initial number of atoms present. ii) Calculate number of days taken for the activity to drop to one-sixteenth of the initial activity. iii) Calculate the initial mass of the sample, and estimate the reduction in mass at the time calculated in (ii).A radioactive sample has a decay constant of 49.15x10-12 s¹. Estimate the half-life.The half-life of Ra-226 is 1.60 x 10^3 years = 5.05 x 10^10 s Find k What is the activity in curies of a 1.00 g sample? What is the mass in grams of a Ra-226 sample that has an activity of 1.00 x 10^9 atoms/min?
- 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 t1 Radioactive decay Consider a chain of radioactive decays 1-2-3, where nuclei of type 3 are stable. We assume that we begin with No atoms of the parents at t= 0 and no atoms of the decay products are originally present. The decays constants are represented by A₁, A2. a) Compute N₁ (t) b) Compute N₂(1) c) Compute N₁ (1) d) Compute N₁ (t) + N₂(t) + Na(t) and interpret. e) Plot N₁ (t), N₂(t), and N₁(e) approximately and interpret them at small t and tooDoes the number of radioactive nuclei in a sample decrease to exactly half its original value in one half-life? Explain in terms of the statistical nature of radioactive decay.