(a) For the nuclei and Be, determine the difference in binding energy per nucleon (in MeV). (Let the mass of a proton be 1.0078 u, the mass of a neutron be 1.0087 u, the mass of Li be 7.0160 u, and the mass of Be be 7.0169 u.) Mev
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- What is the Decay Rate (k), if the Half Life is 10.5 days?Radioactive decay of unstable atomic nuclei is a first order process. The half life for the radioactive decay of 14C is 5730 years. An archeological sample contained wood that had only 1% of the 14C found in living trees. How old is the archeological sample (in years)?Q4 Natural Uranium, as found on earth, consists of two isotopes in the ratio of ^ 235 U/ ^ 238 U=0.07 Assuming that these two isotopes existed in equal amounts at the time the earth was formed; calculate the age of the earth. [note: life times: ^ 238 U=6.52*10^ 9 years , ^ 235 U=1.02*10^ 9 years]
- Taking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy Ka of the alpha particle in 238- the following decay of a 238 U Ka = 234 4.270 Incorrect Th + a U nucleus at rest. MeV(a) Energy is required to separate a nucleus into its constituent nucleons, as the drawing indicates; this energy is the total binding energy of the nucleus. In a similar way one can speak of the energy that binds a single nucleon to the remainder of the nucleus. For example, separating nitrogen 7N¹6 into 7N15 and a neutron takes energy equal to the binding energy of the neutron. Find the energy (in MeV) that binds the neutron to the 7N¹6 nucleus by considering the mass of 7N 15 (atomic mass = 15.000108 u) and the mass of on¹ (atomic mass = 1.008665 u), as compared to the mass of 7N ¹6 (atomic mass = 16.006099 u). (b) Similarly, one can speak of the energy that binds a single proton to the 7N¹6 nucleus. Following the procedure outlined in part (a), determine the energy (in MeV) that binds the proton (atomic mass = 1.007825 u) to the 7N¹6 nucleus. The atomic mass of carbon 6C15 is 15.010599 u. (c) Which nucleon is more tightly bound, the neutron or the proton? (a) Number (b) Number i…The half-life of 14C is t1/2 5 5730 years, and 1.00 g of modern wood charcoal has an activity of 0.255 Bq.(a) Calculate the number of 14C atoms per gram of carbon in modern wood charcoal.(b) Calculate the fraction of carbon atoms in the biosphere that are 14C.
- Taking into account the recoil (kinetic energy) of the daughter nucleus, calculate the kinetic energy K(alpha) of the alpha particle in the following decay of a 238U nucleus at rest. 238U⟶234Th+alpha K(alpha) = ? MeVCalculate the energy (in MeV) released in the αlpha decay of U-238. Answer in 3 decimal places.The rest mass of a proton is 1.0072764666 u and that of a neutron is 1.0086649158 u. The "He nucleus weighs 4.002602 u. Calculate the total binding energy of the nucleus.
- Please help me answer the following.Plutonium-239 (atomic number 94) is a by-product of nuclear power plants. It decays via alpha and gamma decay. The half-life for the decay is 24100 years. What is the decay constant for Pu-239 expressed in inverse years and inverse seconds? If the sample of Pu-is measured to have an activity of 150 decays per second today, how many years would it take for the sample to reduce to an activity of 5 decays per second? How many Pu-239 nuclei are in the sample measured today?U-235 has a decay constant of 3.138 × 10¹7 s¹. Calculate the ratio of U-235 remaining after 500 million years.