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.
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- 2. The radioactive isotope 236 Ra has a half life of 1599 years. After 1000 years there is 3.5 grams of the radio isotope present. Approximately how will be present in 10000 years? Assume the material experiences exponential decay.1. The decay of radioactive substance is given by 7 N = Noe (1), where N is the number of atoms present at time t, No is the initial number of atoms and T is the exponential decay constant, which is related to the decay rate of the element. The N 1 half-life thalf is the time required for the number to atoms to decay by half ( = No 2 Solve for thalf starting from equation (1) in terms of T. Note: Use MathType to enter in T. Do not use the letter "T" from the keyboard. Don't forget the multiplication sign between variables. Use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). thalf = 0.693 X√ S No, that's not the correct answer.4. Modern physics. Please provide a clear, correct, and well explained solution for the following
- Why are some radioactive substances dangerous for a very long time? Select one: a. Some radioactive substances have very long half-lives. It takes a long time for the number of radioactive atoms to decrease. b. Some radioactive atoms combine easily with minerals in the ground, so they can't be removed from the environment. c. Some radioactive atoms combine easily with organic molecules. They get into the food chain where they can't be removed. d. Some radioactive molecules are very light, so they stay in the air for long periods of time.The uranium isotope U-238 has a half-life of about 4.5 × 109 years. i) BOOKWORK Consider 1 mole (238 gm) of isotopically pure uranium U-238. Calculate its activity, and sketch a graph of the activity of the U-238 over the next ten billion years or so. Label the axes with appropriate numbers and units. Mark on the graph the half-life and the characteristic time of decay. ii) UNSEEN The uranium isotope U-238 decays through a chain of fourteen relatively short-lived radionuclides with half-lives of less than one million years before reaching a stable isotope of lead. Bricks, sand, tiles and other building materials typically have an activity of about 50 Bq per kg due to their primordial uranium content, the uranium made in stars and later present in the materials making up our rocks. Estimate the concentration of U-238 in building materials. First consider only the U-238, and then refine your estimate by taking the decay chain into account.3. The half-life of l-137 is 8.07 days. If 25 grams are left after 40.35 days, how many grams were in the original sample?
- 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-2265. 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.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.
- The You-Yangs are a series of rocky granite ridges to the south-west of Melbourne, whose rocks contain crystals of titanite. A field student measures 98.27% of the titanite crystals contain the thorium isotope 232Th. If thorium has a half-life of ?1/2 =14 x 109 years, what is the student's estimate of the age of the You-Yangs? (Units: Years)6. The half-life of a radioactive substance is 20 minutes. If we start with 980 g, find the mass after: a) 1 hour b) 10 minutes c) 1 minuteThe half- life of radioactive cobalt- 60 is 5.26 years. a) Calculate the mean life and the disintegration constant. b) What is the activity of a 1- gm sample of Co - 60? Express this activity in curies and in rutherfords.