When radium-226 decays, it becomes radon-222 by ejecting an alpha particle - two protons and two neutrons (a helium nucleus).   a. Complete a qualitative momentum conservation diagram for the radioactive decay of radium-226. (Recall from chemistry that the isotopic number of an element is related to its mass.)   b. Momentum conservation equation:   c. How many times larger will the final velocity of the alpha particle be compared to the final velocity of the radon-222?

5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a. Write an exponential function to model this situation and define each variable. ( b. Determine what fraction of a sample of Krypton-85 will remain after 86.08 years. State the answer as an exact fraction value. ( C. Determine how long will it take for a sample of Krypton-85 to decay to 1/64 of its original mass. Round your answer to the nearest hundredth of a year.

x=139

5. 23°Pu emits a-particles of max 5.152 MeV. The recoil energy in keV of the product daughter is: a. 66.0 b. 77.0 c. 88.0 c. 99.0 6. A deuteron ²H is bombarded on 0 nucleus, then a-particle is emitted, the product nucleus is: a. "o b. "0 c. "N d. "N

8. Collision between neutrons and nucleus of the moderator results in slowing down the newly born fast neutrons. Such a collision is depicted in the figure. The striking fast neutron has an initial energy En and an initial momentum pa. The tar- get nucleus is initially at rest. Considering an elastic scattering, following the col- lision, the scattered neutron has an energy of E, and momentum of p, while the recoiling nucleus has an energy of Ey and momentum of py. Use the conserva- tion of momentum and energy to drive a relation for energy of the scattered neu- tron in terms of the initial neutron energy and mass number of the target nucleus. [Hint: Find the momentum of the recoiling nucleus in terms of the momentum of the initial and the scattered neutron. Substitute for momentum terms (p = 2mE) and for the recoiling energy from the energy balance]. Scattered Neutron E, Pa EN Striking Target Pa Neutron Nucleus Recoiling Nucleus PN

If a nucleus decays by b+ decay to a daughter nucleus, which of the following statements about this decay is correct? a. the daughter nucleus has more nucleons than the original nucleus b. the daughter nucleus has the same number of protons as the original nucleus c. the daughter nucleus has less nucleons than the original nucleus d. the daughter nucleus has the same number of neutrons as the original nucleus e. the daughter nucleus has less protons than the original nucleus

1. Nuclear fission is . 2. By assuming that g is 10 N/kg and that air resistance and other frictional forces are negligible, and an object has a mass of 6 kg. Thus, the gravitational potential energy is . 3. Thermal power stations can cause pollution in a variety of ways: a. . b. . C... 4. Thermal heat is transferred from the hot endto the cold end, this process is called. .

3. When bismuth-210 decays, it can do so either via alpha decay or via negative beta decay. [Note: you may assume that the recoil energy of the daughter nucleus is negligible and may be ignored for both types of decay.] a) Write the nuclear decay equations for both the beta decay and the alpha decay. b) Compute the kinetic energy of the emitted alpha particle in the alpha decay in units of MeV.

10. Which of the following statements are true from Figure 4? I. This is a PWR reactor. II. The primary working fluid cannot be converted into steam due to high pressure. III. The reactor can use water to absorb neutrons. a. Only I b. I and II c. d. e. II and III I, II, and III None of the above Steam- Which of the previous statements are TRUE? a. Only I b. I and II c. I and III d. II, III, and IV e. I, III, and IV Core H₂O Reactor vessel P1000 psi T-540 F Feedwater Figure 4 Condenser Pump S 1000 L Turbine Generator Water 11. During the magnetic confinement method to produce fusion... I. A plasma is produced by using high temperatures inside a toroidal-shaped container. II. D-T fuel pellets are heated with a pulsed laser. III. Strong magnetic fields make charged particles to move in a corkscrew-type path. IV. High temperature is needed to increase the kinetic energy. Cold H₂O Hot H₂O Electricity Lake or cooling tower

Answer the following questions regarding the radioactive isotope radium-226. A.Write a nuclear equation for when this nucleus undergoes beta decay.   B.What is the binding energy of a radium-226 nucleus? The mass of radium-226 is 226.02541 amu.   C.A rock obtained by geologists was found to obtain 1.38 mg of radium-226. Later studies confirmed that 922 years prior, the rock contained 34.6 mg of radium-226. How many half-lives have elapsed?   D.Based on your answer to Question C, determine the half-life of radium-226.   E.Based on your answers to Questions C & D, determine the rate constant of the beta decay of radium-226