(6 points) 1. Use the following information to answer the questions below: Thorium - 234 has a half-life of 24.1 days. A sample of thorium-234 contains 3.2 x 10 atoms. For credit, be sure to show your calculations. a. How many atoms of this substance will remain after four half-lives? b. What fraction of the original amount of thorium-234 will remain after 120.5 days? C. A common rule of thumb is that a radioactive substance is safe to handle after 10 half-lives. What percentage of thorium-234 will remain of this sample after 10 half-lives? d. Nuclear power is generated when uranium-238 breaks down to form thorium-234 and alpha particles. Is this a fusion or fission reaction? Explain your answer.(6 points) 2. Refer to the table below in answering the following questions. The data show the decay of a radioactive isotope of sulfur over time.Radioactive Decay of S-35 Time (days) S-35 (g) Time (days) 5-35 (g) 0 500 55 323 5 181 50 310 10 462 65 298 15 144 70 287 20 127 75 275 25 410 80 265 30 394 85 254 35 379 90 245 40 364 95 235 45 350 100 226 50 336 Use the data to create a graph. Please use a program like Excel or a free online graphing program to create the graph. Alternatively, you may carefully draw the graph by hand using graphing paper. The graph should accurately represent the data, have labeled axes and a title. Paste your graph onto this document or upload the graph into the drop box separately. . According to the data provided, what is the half-life of sulfur-35? Explain how you arrived at your answer. Write a complete nuclear equation showing the decay of sulfur-35 by beta emission. Explain how you determined the daughter isotope and what is happening in the equation(6 points) 3. Samarium-146 can decay to form neodymium-142 as shown: 1465m -> 142Nd + 4He The following table shows the molar masses of each species. Species Mass per mole samarium-146 145.9133 g/mol neodymium-142 141.9073 g/mol alpha particle 4.0013 g/molVWhat is the mass lost when 1 mole of samarium-146 decays to neodymium-1427. Show all work for full credit. Calculate the energy released during the decay of 1 mole of samarium-146 to neodymium-142 in joules, considering the speed of light ( = 2.997925 x 1048 m/s). Be sure to show all steps of your calculations. {6 points) 4. Fill'in the missing part of the equation and categorize the reaction as alpha, beta, or gamma radioactivity in the table provided. Refer to the periodic table in formulating your answer. esTae | 1 104K = 7 + 1l ? > o?0Th + 2*He {8 points) Explain the subatomic composition of the carbon-14 nucleus, detailing the structure of each nucleon. Include an eriginal drawing showing the subatomic particles in the nucleus. Also, describe the forces that are responsible for holding the nucleus together, illustrating them on your diagram