The atomic mass of Mg is 24.985837 u, and the atomic mass of Al is 24.990429 u. (i) Identify which of these nuclei will decay into the other. Justify your answer. (ii) Determine the type of decay that will occur. Write the reaction equation and explain your answer.
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- I need help on this questionRadioactive potassium-40 has a half-life of 4.2 x 1016 s. a) Calculate the decay constant of potassium-40. b) A sample of potassium-40 has an initial mass of 1.0 g. Calculate the number of parent nuclei present in the sample, as well as the initial activity of the source. (One mole of potassium-40 has a mass of 40 g and NA = 6.0 x 1023 mol-1) c) Calculate the number of parent nuclei present in the sample after 9.2 x 1016 s.Once again, the final products have less mass than the 2 nuclei that fuse together; find the missing mass that converts to energy in the last reaction. Using the numbers in the Atomic Mass column, calculate 3He + 3He H-H- 4He. Type the entire calculator answer carefully. [it should be positive, similar in style to 0.012179] (1) Atomic (2) Element (3) Symbol (4) Mass (5) % Abundance (or Radioactive Decay Mode) (7) Half-life (if radioactive) Atomic Number Number, Mass 0. (Neutron) 1.008665 10.4 min Hydrogen Deuterium Tritium H. 99.985% 0.015% 1.007825 2.014102 T. 1 3 3.016049 12.33 yr Helium Не 0.000137% 99.999863% 3 3.016029 4. 4.002602 3. Lithium Li 6.015121 7.016003 7.5% 92.5% 4 Beryllium EC, 7 100% Be 7.016928 53.29 days 9.012182 67 9
- Experimental values are obtained from actual experiments. The model represents a theoretical approximation. I need B/A value of for sodium please calculate it by using the given formula in the discussionE 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.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.
- Two nuclei having the same mass number are called isobars. Calculate the difference in binding energy per nucleon for the isobars 2311Na and 2312Mg. How do you account for the difference?(a) For the nuclei B and C, 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 ¹B be 11.0093 u, and the mass of C be 11.0114 u.) 0.0762 x Review the meaning of the A, Z and N numbers. Review how to find the binding energy of a nucleus and then the binding energy per nucleon. MeV (b) This difference in binding energy is due to which of the following? O Greater electron attraction for the C atom O Greater electron repulsion for the C atom Ⓒ Greater neutron attraction for the C nucleus O Greater neutron repulsion for the ¹C nucleus O Greater proton attraction for the C nucleus Ⓒ Greater proton repulsion for the C nucleusDetermine the nucleus density (in kg/m³) of the following four isotopes. 4He (m= 4.00260325415 u) 40 Ar (m 39.9623831225 u) 179TI (m 178.99109 u) 232U (m 232.0371562 u)