\f3. On March 21, 201 1, spinach samples taken in the Ibaraki Prefecture contained iodine 131 activity at 55 kBq/kg.' The iodine 131 limit for human consumption of vegetables is 2 kBq/kg. Using the government's limit, how long must the Prefecture wait before selling the spinach? Solve this problem using the algebraic method presented in the textbook, and using graphing and numerical methods with Maple. Hint: We need to solve the equation 2 = 55 x 2-t/8.023 Maple commands for solving the equation graphically and numerically can be found in the appendix. 4. Government limits for sea water are based on an iodine 131 value of 40 Bq/L and a cesium 137 value of 90 Bq/L. On April 17, 2011, sea water contamination levels based on samples 20 km from the site had iodine 131 and cesium 137 concentrations of 161 Bq/L and 186 Bq/L, respectively. How much time must pass before the sea water sample reaches the government's limits? Report Incorporate your answers to the above problems into an essay. Be sure to include the following elements 1. Describe the problem you tried to solve using your own words. 2. State how you obtain information about various radioactive elements. 3. Show your calculations and analysis clearly. You can use your word processor to type the equations, or take a picture of your hand-written equations and insert it into your document. It's important to show your Maple results and graphs in your document. 4. Write your conclusions. You can solve the equation algebraically. You can also use Maple to solve the equation graphically and numerically. What is the advantage and disadvantage of each approach? 5. Ensure clear citations for information you obtain from the internet or print publications. Visit https://library.laguardia.edu/research/apa for the APA (American Psychological Association) style guide. You may consult a librarian for help with your citations. Reference Bevelacqua, J. J. (2012). Fukushima Daiichi accident and its radiological impact on the environment. The Physics Teacher, 50, 354-358. The unit for radioactivity is becquerel (Bq), which is one nuclear disintegration per second. One thousand becquerel is written as 1 kBq. Kilogram (kg) is the international unit for measuring mass, and liter (L) is for measuring volume.MAT 200 Inquiry & Problem Solving Project with Digital Communication Radioactivity Radioactivity decreases as a function of time t following the exponential decay relationship: A(t) = Age-at where A is the decay constant and is related to the half-life time T1/2: In 2 T1/2 The exponential decay function can be re-written as A(t) = Ap . 2-4/T 1/2 (Use properties of logarithms to verify it.) As an example, iodine 131 (one of the common fission products associated with nuclear reactors) has a half-life of 8.023 days. The exponential decay function for such a material is A(t) = Ap . 2 4/8.023 where t is measured in days. On March 1 1, 201 1, an earthquake struck Japan and trigger a powerful tsunami. Following the event the Fukushima Daiichi nuclear reactors sustained major damages, and as a result nuclear fission products contaminated air, soil, animals, fish, and crops. Problems 1. Find the properties of iodine 131 through search. Particularly, what does "131" in iodine 131 mean? Cite your sources. 2. Similarly, find the properties of cesium 137. What does "137" mean? What is the half-life time of this element