Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 45, Problem 36SP
To determine
The number of neutrons remaining after a time of
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When U-232 undergoes alpha decay to Th-228, a mass lost is sustained. 1. Find the mass defect for this process in amu and kg. 2. The mass lost during the decay is converted to kinetic energy. Use Einstein equation to calculate the kinetic energy in joules and in Mega- electron volts (MeV). The exact mass of U-232 is 232.0372 amu. The exact mass of Th-228 is 228.0287 amu. The exact mass of He is 4.0026 amu.
1 amu= 1.6606 x 10-27 kg. 1 MeV = 1.602 x 10-13 J.
232 92 U -----> 228 90 Th + 4 2 He
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Chapter 45 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 45 - Prob. 18SPCh. 45 - Prob. 19SPCh. 45 - Prob. 20SPCh. 45 - Prob. 21SPCh. 45 - Prob. 22SPCh. 45 - Prob. 23SPCh. 45 - Prob. 24SPCh. 45 - Prob. 25SPCh. 45 - Prob. 26SPCh. 45 - Prob. 27SP
Ch. 45 - Prob. 28SPCh. 45 - Prob. 29SPCh. 45 - Prob. 30SPCh. 45 - Prob. 31SPCh. 45 - Prob. 32SPCh. 45 - 45.33 [I] Plutonium-239 decays as in the previous...Ch. 45 - Prob. 34SPCh. 45 - Prob. 35SPCh. 45 - Prob. 36SPCh. 45 - Prob. 37SPCh. 45 - 38. Find the binding energy of , which has an...Ch. 45 - Prob. 39SPCh. 45 - Prob. 40SPCh. 45 - Prob. 41SPCh. 45 - Prob. 42SPCh. 45 - 43. Cesium-124 has a half-life of 31 s. What...Ch. 45 - Prob. 44SPCh. 45 - Prob. 45SPCh. 45 - Prob. 46SPCh. 45 - Prob. 47SPCh. 45 - 45.48 [II] Complete the notations for the...Ch. 45 - Prob. 49SPCh. 45 - Prob. 50SP
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- If the rest energies of a proton and a neutron (the two constituents of nuclei) are 938.3 and 939.6 MeV, what is the difference in their mass in kilograms?arrow_forwardSuppose you are designing a proton decay experiment and you can detect 50 percent of the proton decays in a tank of water. (a) How many kilograms of water would you need to see one decay per month, assuming a lifetime of 1031 y? (b) How many cubic meters of water is this? (c) If the actual lifetime is 1033 y, how long would you have to wait on an average to see a single proton decay?arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forward
- On absorption of a single neutron, plutonium Pu-239 can undergo fission into xenon Xe-134 plus zirconium Zr-103 plus three neutrons. The masses of these nuclei are, mpu-239 = 239.052 amu, mxe-134 = 133.905 amu, and mzr-103 = 102.927 amu. Calculate the energy given off in this nuclear reaction. Back Alt+Left arrowarrow_forwardThe radioactive isotope 12 7N undergoes b+ decay. The energy released in the decay of one nucleus is 16.316 MeV. What is the mass, in amu, of a neutral 12 7N atom? Give your answer to eight significant figures.arrow_forwardNuclear power plants convert the energy released in fission reactions to electric energy. Consider one such power plant that generates 1.00 GW of electric power. The fission of each uranium-235 nucleus releases 250 MeV of energy. The power released by the fission reactions is converted to electric power with a 41.0% efficiency. How much uranium-235 per day, by mass in kg, undergoes fission at this power plant?arrow_forward
- The equation of a fission process is given in which 235 U is struck by a neutron and undergoes fission to produce 144 Ba, 89 Kr, and three neutrons. The measured masses of these isotopes are 235.043930 u( 235 U), 143.922953 u(144 Ba), 88.917631 u (89 Kr), and 1.0086649 u (neutron). (a) Calculate the energy (in MeV) released by each fission reaction. (b) Calculate the energy released per gram of 235 U, in MeV/g.arrow_forwardIn the analysis of a nuclear reaction, scientists identify the rest masses of all reactants and products. By applying the equation E = mc, what property of the reaction can be calculated? O the kinetic energy of each component O the half-life of each component O the reaction energy O the speed of the reaction inish Cancel here to searcharrow_forwardA state-of-the-art proton decay experiment is expected to detect 47% of the proton decays in a body of water. Assuming protons have a lifetime of 1031 years, how many m3 of water would you need in order to see 2 decays per month? (Assume a "month" is one-twelfth of a year.)arrow_forward
- On absorption of a single neutron, plutonium Pu-239 can undergo fission into xenon Xe-134 plus zirconium Zr-103 plus three neutrons. The masses of these nuclei are, mpu-239 = 239.052 amu, mxe-134 = 133.905 amu, and mzr-103 = 102.927 amu. Calculate the energy given off in this nuclear reaction.arrow_forwardA certain radioactive material decays exponentially. The percent, P, of the material left after t years is given by P(t) = 100(1.2). a. Determine the half-life of the substance. b. How fast is the substance decaying at the point where the half-life is reached? The substance is decaying at a rate of about -3.8% per year at the time 9.12 years where the half-life is reached The substance is decaying at a rate of about -9.12% per year at the time 6.8 years where the half-life is reached The substance is decaying at a rate of about -9.12% per year at the time 3.8 years where the half-life is reached | None of the abovearrow_forwardOne of the nuclear fission reaction that can happen in a nuclear reactor is the fission of Uranium-235 into Rubidium- 96 and Cesium-137 as shown below. The atomic mass of U-235 is 235.043930 u, the atomic mass of Rubidium is 95.93427 u, the atomic mass of Cesium-137 is 136.90709 u, and the mass of a neutron is 1.008665 u. Determine the amount of energy released by the reaction, expressed in MeV. Keep five significant digits.arrow_forward
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