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- (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?(a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?A nuclear physicist finds 1.0of 236Uin a piece of uranium ore (T1/2=2.348107y) . (a) Use die decay law to determine how much 236Uwould had to have been on Earth when it formed 4.543109yago for 1.0gto be left today, (b) What is unreasonable about this result? (c) How is this unreasonable result resolved?
- 4. By what fraction does the kinetic energy of a neutron with mass mi decrease in a head-on ELASTIC collision with a nucleus, where the latter has a mass m2 and is at rest when the collision occurs? Calculate the fractional energy loss for a neutron collision with a lead nucleus, a carbon nucleus and a hydrogen nucleus. Note that the ratio of m2/m₁ is 206 for lead, 12 for carbon and 1 for hydrogen.A 212^Bi (bismuth) nucleus undergoes alpha decay, resulting in a 208^Tl (thallium) nucleus and a 4^He (helium) nucleus as per the following reaction: 212^Bi →208^ Tl + 4 ^He The masses of each nucleus is listed in the table below. Given that the bismuth atom was at rest before the reaction, if the resulting thallium nucleus is traveling 3.3 × 10^5 m/s, how fast is the helium nucleus traveling?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 arrow
- In symmetric fission, the nucleus of uranium (238U) splits into two nuclei of palladium (119Pd). The uranium nucleus is spherical with a radius of 7.4×10−15m. Assume that the two palladium nuclei adopt a spherical shape immediately after fission; at this instant, the configuration is as shown in the figure attached. The size of the nuclei in the figure can be calculated from the size of the uranium nucleus because the nucleus material maintains a constant density (the initial nuclear volume equals the final nuclear volume). a) Calculate the electric energy of the uranium nucleus before fission. b) Calculate the total electric energy of the palladium nuclei in the configuration shown in the figure, immediately after fission. Take into account the mutual electric potential energy of the two nuclei and also the individual electric energies of the two palladium nuclei by themselves. c) Calculate the total electric energy a long time after fission when the two palladium nuclei have moved…In symmetric fission, the nucleus of uranium (238U) splits into two nuclei of palladium (119Pd). The uranium nucleus is spherical with a radius of 7.4×10−15m. Assume that the two palladium nuclei adopt a spherical shape immediately after fission; at this instant, the configuration is as shown in the figure attached. The size of the nuclei in the figure can be calculated from the size of the uranium nucleus because the nucleus material maintains a constant density (the initial nuclear volume equals the final nuclear volume). a) Calculate the electric energy of the uranium nucleus before fission. b) Calculate the total electric energy of the palladium nuclei in the configuration shown in the figure, immediately after fission. Take into account the mutual electric potential energy of the two nuclei and also the individual electric energies of the two palladium nuclei by themselves. c) Calculate the total electric energy a long time after fission when the two palladium nuclei have moved…An iron nail has a mass of 9.0g. What is the energy (in Joules) that would be required to break all the iron nuclei into their constituent protons and neutrons? Ignore the energy that binds the electrons to the nucleus and the energy that binds one atom to another in the structure of the metal. For simplicity, assume that all the iron nuclei are Fe (atomic mass = 55.934 939 u). 26
- 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.d) The equation below describes the disintegration of a bismuth nucleus into a thallium nucleus and an alpha-particle. During the reaction energy Q is released. 212 208 Bi He + 83 81 TI + energy released Q. The masses in the atomic mass unit u are as follows: 212 83 208 Bi = 211.99127 u, 81 TI = 207.98201 u and He = 4.002050 u. You may assume that 1u is equivalent to 931 MeV. Calculate: i) The loss of mass during the reaction. ii) kinetic energy of the products. e) When an alpha particle is emitted, the thallium nucleus recoils in the opposite direction. Use the principle of the conservation of momentum to estimate how the kinetic energy will be shared between the thallium nucleus and the a- particle.A stationary nucleus of Po-204 (mass = 204 amu) undergoes alpha decay. Show that, as a result of ejecting alpha particle (He-4: mass = 4 amu), the daughter nucleus recoils with a speed equal to 2% that of the alpha particle.