There are three naturally occurring stable isotopes of magnesium: 24Mg, 25Mg, and 26MB, which have relative abundances on Earth of 79%, 10%, and 11% respectively. Note that the atomic number of magnesium is 12. a) Calculate the binding energy (in eV) of magnesium-24, which has an atomic mass of 23.9850 AMU. The mass of a neutron is 1.0087 amu and the mass of a proton is 1.0073 amu. Using your results from parts (i) and (ii) discuss how the nucleus is held together.
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- Help with d e and fThe number of radioactive nuclei present at the start of an experiment is 5.38 × 10¹5. The number present twenty days later is 5.02 × 10¹4. What is the half-life (in days) of the nuclei?A nucleus of copper has an atomic mass of 64.93 u (with Z=29 and A=65). Considering that the mass of a neutron and a proton are respectively 1.00866 u and 1.00728 u. What is the total binding energy of that nucleus? (Expressed in MeV)
- in the stable isotope of Potassium 39K there are 19 electrons, 19 protons and 20 neutrons. The mass of the neutral atom is 38.96371 u. Calculate: Total mass / u Mass defect / u Binding energy / J Binding energy / MeV Mass of the proton = 1.007276 u Mass of the neutron = 1.008665 uNatural uranium is 0.7200% 235U and 99.27% 238U. What were the percentages of 235U and 238℃ in natural uranium when Earth formed 4.5 x 109 years ago, respectively? percentage 235U percentage 238U % %1.a. A 14-gram ovarian tumor is treated using a sodium phosphate solution in which the phosphorus atoms are the radioative phosphorus-32 isotope with a half-life of 14.3 days and which decays via beta emision (RBE=1) with an energy of 1.71 MeV. Half of the sodium phosphate is absorbed by the tumor and deposits 9.0 J energy into it. The other half of the solution is absorbed throughout the patient's tissues, also depositing 9.0 J of energy into the 50.0 kg of body tissues. i. What is the dose ( in gray and rem) that the tumor receives? ii. What is the dose ( in milligray and rem) that the rest of the tissues receives? b. Photoelectrons from a material with a binding energy of 2.71 eV are ejected by 420-nm photons. Once ejected, how long does it take these electrons to travel 2.50cm to a detected device? c.The heating element in an electric kettle is rated as 2.0kW. If the waterin the kettle is at 1000.0 oC, what volume of water will be converted in to steam in…
- Find the binding energy (in MeV) for lithium 3Liº (atomic mass = 9.026789 u). Number i eTextbook and Media UnitsScientists can determine the age of ancient objects by the method of radiocarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates ¹4C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 75% as much 14C radioactivity as does plant material on earth today. Estimate the age of the parchment. (Round your answer to the nearest whole number.) yr Need Help? Watch It Additional Materials THERCorals take up certain elements from seawater, including uranium but not thorium. After the corals die, the uranium isotopes slowly decay into thorium isotopes. A measurement of the relative fraction of certain isotopes therefore provides a determination of the coral’s age. A complicating factor is that the thorium isotopes decay as well. One scheme uses the alpha decay of 234U to 230Th. After a long time, the two species reach an equilibrium in which the number of 234U decays per second (each producing an atom of 230Th) is exactly equal to the number of 230Th decays per second. What is the relative concentration of the two isotopes—the ratio of 234U to 230Th— when this equilibrium is reached?
- c) The equation below describes the disintegration of a polonium nucleus into a lead nucleus and an alpha-particle. During the reaction energy Q is released. 210Po → He +²02Pb+Q 84 82 Calculate the loss of energy during the reaction. The masses in the atomic mass unit u are as follows: 210 206 Po= 209.98287 u, Pb = 205.97446 u and He = 4.002604 u. 84 82 You may assume that 1u is equivalent to 931 MeV. d) The lead nucleus recoils in the opposite direction to the emitted alpha particle conserving momentum. Hence calculate: i) The ratio of the recoil nucleus and alpha particle velocities ii) The kinetic energy distribution of these products.Find the binding energy (in MeV) for lithium 3Li8 (atomic mass = 8.022486 u). Number i UnitsThe reaction shown below has a Q value of 13.574 MeV. H + N - C + He Determine the atomic mass (in u) of the Carbon-12 isotope. (Assume the atomic masses M2 = 2.0141 u, MN-14 = 14.0031 u, and Mued = 4.0026 u. Enter your answer to at least 3 decimal places.)