Calculate the partial pressure of helium gas for a volume of 1.0 x 10-6 m3 of 22286Rn gas after 6 days. The radon gas was originally placed in an evacuated container at 1.0 atm, and the temperature remains constant at 0°C. What is the partial pressure of the radon gas after 6 days? (t1/2 = 3.82 d for 222Rn)
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Calculate the partial pressure of helium gas for a volume of 1.0 x 10-6 m3 of 22286Rn gas after 6 days. The radon gas was originally placed in an evacuated container at 1.0 atm, and the temperature remains constant at 0°C. What is the partial pressure of the radon gas after 6 days? (t1/2 = 3.82 d for 222Rn)
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- An archaeologist finds some ancient jewelry made from bone. The jewelry has a carbon mass of 146 g (HINT: Assume all the carbon is 12C and determine the number of atoms, 12C has a molar mass of 12 g/mol) and careful measurements show that the remaining 14C has a current decay rate of 26 decays/s. Determine the age of the bone (and presumably the jewelry). The ratio of 14C to 12C when the animal died was 1.25×10-12 & the half-life of 14C is 5730 y. Additionally, 1 mol = 6.022×1023 particles, 1 y = 365.25 days, & 1 day = 24 h.age of bone =For a fusion reaction, at which temperature T do you expect the optimal reaction rate to approximately occur? In the expressions below EG is the Gamow energy of the reaction and k is the Boltzmann constant. Select one: O a. T O b. T: O c. T d. T = Oe. T - - = = EG 100k 10EG k EG 10k EG k 100 EG kA radioactive material has a decay constant of λ = 0.0586 yr-1. If it starts out with N0 = 9.03 × 1018 particles, how many (N) will be left after t = 407 years have gone by? Express your answer in scientific notation. (Example: 1.23e4)
- 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) = ? MeVFermi’s original reactor was just “barely” critical because the natural uranium that he used contained less than 1% of the fissionable isotope U-235 (half-life 713 million years). What if, in 1942, Earth had been 9 billion years old instead of 4.5 billion years old. Would Fermi have been able to make a reactor go critical with natural uranium?Calculate the partial pressure of helium gas for a volume of 1.0 x 10-6 m³ of 212Rn gas after 72 minutes. The radon gas was originally placed in an evacuated container at 1 atm, and the temperature remains constant at 0°C. (t, 12 = 23.9 min for 212Rn.) 0.467 X atm What is the partial pressure of the radon gas after this time? atm
- A state-of-the-art proton decay experiment is expected to detect 44% 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.)In a controlled fusion reactor Deuterium-Tritium The temperature of the plasma is T = 10 keV, where k is the k Boltzmann constant. The ions' number density is 2.6×10¹8 m-3. -22 3 Moreover (ov) = 10-²²m³s-¹, where o is the reaction cross-section, v is the relative speed of the reacting particles, and represents averaging according to the Maxwell- Boltzmann distribution. fusion is occurring. For what value of the confinement time does the reactor achieve the break even point? Enter your answer in seconds to 1 decimal point.39.8 An atom of uranium-235 (atomic mass: m(23U) cays to thorium-231 (atomic mass: 231. 00 Th) = 231.03630 u) emission of an 235.04392 u) de- 92 via the a particle (nuclear 4.00151 u). m(ža) c = 2.998 x 108 m s-1. mass: Use %D (a) What is the binding energy of an 235U nucleus (in J)? 92 (b) What is the binding energy of a 231 Th nucleus (in J)? 90 (c) What is the binding energy of an a particle (in J)? (d) What is the maximum possible ki- netic energy (in J) of the a particle emitted during this decay? (Hint: what is the difference between the mass of 23°U and the total mass of 92 231 Th and an a particle?) 90 (e) Whatis the maximum velocity of the emitted a particle?
- A sample of wood from an archaeological excavation is dated by using a mass spectrometer to measure the fraction of 14C atoms. Suppose 150 atoms of 14C are found for every 1.4×1015 atoms of 12C in the sample. What is the wood's age? Express your answer in years.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)