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- 8 Consider the following nuclear reaction B Вe + 4 e + v and determine the Q value or total energy released (in MeV) in this process. (Let the atomic mass of B be 8.0246 1 8 u, the atomic mass of Be be 8.0053 u and the mass of e be 5.4858 x 10¬4 u.) 4 MeVThe most common isotope of uranium 23 U has a half-life of 4.47 x 10⁹ years, decaying to 92 234 Th by a emission. i) ii) iii) iv) Write down the nuclear decay equation. What is meant by the decay constant? Calculate the mass of uranium would be required for an activity of 6.00 µμCi. Calculate the number of a particle emitted per second by 30.0 g of uranium. [1 Ci = 3.70 x 10¹⁰ decays/s]Q4 Natural Uranium, as found on earth, consists of two isotopes in the ratio of ^ 235 U/ ^ 238 U=0.07 Assuming that these two isotopes existed in equal amounts at the time the earth was formed; calculate the age of the earth. [note: life times: ^ 238 U=6.52*10^ 9 years , ^ 235 U=1.02*10^ 9 years]
- Q23. When a deuteron (;H) of mass 2.0141lu and negligible kinetic energy is absorbed by a lithium nucleus (;Li ) of mass 6.0155u, the product disintegrates spontaneously into two alpha-particles, each of mass 4.0026u. Calculate the energy, in joules, given to each alpha particle (lu = 1.66 × 10" 21 kg)- Answer is 1.825 × 10² Jq94. An ancient club is found that contains 150 g of pure carbon and has an activity of 4 decays per second. Determine its 14 C age assuming that in living trees the ratio of 5700 years and the Avogadro number is 6.02 × 10²³. (THC) years atoms is about 1.40 × 10-¹2. Note that the half life of carbon-14 is ss160 f60 sst ssf60 sf60 ss
- [Review Topics] [References] Radioactive vanadium-48 decays with a half-life of 16.0 days. a. What is the value of k in s12 k = b. A sample contains 58.0 mg 48 t° V. How many decay events will be produced in the first second? Assume the atomic mass of 48 V is 48.0 u. decays/s c. A chemist obtains a fresh sample of 8V and measures its radioactivity. She then determines that to do an experiment, the radioactivity cannot fall below 25% of the initial measured value. How long does she have to do the experiment? days Submit Answer Retry Entire Group 4 more group attempts remaininga) i) Strontium-90 (ºSr) is one of the products of thermal neutron fission of Uranium-235. It is unstable with a half-life of 28.8 years. A large quantity of 90Sr was released in the Chernobyl disaster of 1986. By what year will that 90Sr have decayed to 1% of the initially-released quantity? 2) ii) What is the function of a moderator material in a nuclear fission reactor? iii) Explain why light nuclei such as hydrogen isotopes are the preferred fuel for nuclear fusionRadon gas has a half-life of 3.83 days. If 2.92 g of radon gas is present at time t = 0, what mass of radon will remain after 2.20 days have passed? g
- 2. A neutron causes 223Fr to change according to the following reaction: n +22³Fr →AX+y 87 87 The X nucleus subsequently undergoes - decay, and its daughter does too. What is the atomic mass number of the final nucleus? 60 ssf602 ssf60 ss. 60 ssf60% Ossi ssf60 ss f60 ssf60c) Complete the following decay reaction to show sodium-24 undergoing ߯ decay. First identify the unknown daughter nucleus (?).. and then name the subatomic particle that completes the reaction. 24Na → (?) + v + (subatomic particle) Enter the mass number A = Enter the atomic number Z = Enter the chemical symbol: Name the subatomic particle: A/ NQ22. Given that the atomic mass of ,N is 14.003074u and that the sum of the atonmic masses of H and "C is 14.011179u, will the reaction |H + '"C→ "N result in emission of energy and if so, how much? (Give your answer is MeV) (lu = 1.66 × 10²' kg) Answers are YES and 7.55 MeV. Q23. When a deuteron (;H) of mass 2.014lu and negligible kinetic energy is absorbed by a lithium nucleus (;Li ) of mass 6.0155u, the product disintegrates spontaneously into two alpha-particles, each of mass 4.0026u. Calculate the energy, in joules, given to each alpha particle (lu = 1.66 × 10" 27 ´kg). Answer is 1.825 × 10" J