Certain stars are thought to collapse at the end of their lives, combining their protons and electrons to form a neutron star. Such a star could be thought of as a giant atomic nucleus. If a star with a mass equal to that of the sun (of mass 1.99 × 1000 kg) were to collapse into neutrons, what would be the radius of the star? Answer in units of m.
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- One of the ways that 235U can fission is by means of the following reaction: In +235 U 141 Ba + Kr + 3 n 56 Atomic masses of the reactants and products are as follows: n 235 U 92 92 Kr 36 141 Ba 56 1.008665 u 235.043930 u 91.926156 u 140.9144035 u a) Determine the energy in MeV that is released when one 23592U nucleus fissions. Assume that the incoming neutron is very slow. b) Find the total energy released in MeV if 2.8 kg of 23592U were to undergo fission entirely by this reaction.Uranium-235 is used as a nuclear fuel for Canadian made CANDU nuclear power plants. During one such fission reaction, a uranium-235 atom is split by a fast moving neutron to produce krypton-92, barium-141 and an unknown number of neutrons. Determine the number of neutrons produced by this reaction, record that value in blank #1. Determine the energy released by the reaction, rounded to the nearest whole MeV, record that in blank #2. Isotope Uranium-235 Krypton-92 Barium-141 Neutron Mass (u) 235.043930 91.92345 140.91440 1.008665A new element has been created artificially. It is named Elementy McFacium. The most common isotope of McFacium has 153 protons and 277 neutrons. The mass of this isotope of the new element is 402,188.91 MeV/c^2. What is the total mass deficit for the nucleus? Hint: The new element is not made as an ion! Use the mass of hydrogen atoms instead of protons. (Answer in atomic mass units u)
- In class I derived the ordinary nuclear density to be about 0.138 u/fm3. A neutron star is a collapsed star that contains neutrons in a highly compactified state, so its average density is higher. Assume a neutron star is spherical and has an average density which is about twice the ordinary nuclear density. If it is 50% heavier than the Sun, what would be its radius? (Given: mass of sun = 2*1030 kg, 1 u = 1.66*10-27 kg.) A) 14.6 km B) 11.6 km C) 10.1 km D) none of these.A 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 6 decays per month? (Assume a "month" is one-twelfth of a year.)The gold nucleus has a mass of 3.27 × 10–25 kg. What is the density of the nucleus (in g cm–3)? 2.7 × 1014 3.5 × 1014 1.4 × 1014
- The nucleus of a lithium atom is 3 ^ 7 Li and its mass is 7.0160 amu. Calculate the binding energy in MeV. The relevant masses are, for the neutron, 1.0087 amu, and the proton 1.0073 amu. 1 amu is equivalent to 931 MeVOn 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.Learning Goal: Radioactive decay - Half-life N 1,000,000 500,000 250,000 125,000 62,500 Number of nuclides, N x 10³ 1000 750 500 250 125 0 Time 0 the 2012 3h2 4112 5h2 612 7h2 8h2 9412 10₁2 31,250 15,625 he 2h 3h 4h 5h 6h 7he 8he 9h 10h Time in multiples of f 7,813 3,906 1,953 977 A radioactive sample's half-life is 30.2 years. 1 year = 365 days, 1 day = 24 hours, 1 hour = 60 min, 1 min = 60 s