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- Potassium is a crucial element for the healthy operation of the human body. Potassium occurs naturally in our environment (and thus our bodies) as three isotopes: Potassium-39, Potassium-40, and Potassium-41. Their current abundances are 93.26%, 0.012% and 6.728%. A typical human body contains about 3.0 grams of Potassium per kilogram of body mass. How much Potassium-40 is present in a person with a mass of 80 kg? If, on average, the decay of Potassium-40 results in 1.10 MeV of energy absorbed, determine the effective dose (in Sieverts) per year due to Potassium-40 in an 80-kg body. Assume an RBE of 1.2. The half-life of Potassium-40 is 1.28 x 109 years.Nuclear Physics - Nuclear Structure Density= Nuclear Structure Z mass Volume radius r=r04¹/3 ro=1.2x10-¹5 m N A = Z+N 4 The radius r of a nucleus is given in the above figure. The volume of a nucleus is V = Proton 56 Fe nucleus has a total of 56 nucleons (protons + neutrons). The average mass of a nucleon is u = 1.66x10^-27 kg I whin ber Neutron A Z If this unknown nucleus has 60 neutrons, how many protons does it have? Enter a number rr³ (a)Calculate the radius of a 56 Fe nucleus. Write the radius in fm, 1 fm = 10-15 m. Keep 2 decimal places. Enter a number x10-¹5m, fm (b) Calculate the Denisity of a 56Fe nucleus.. Write the result in terms of 1017 kg/m³. Keep 2 decimal places. Enter a number x10¹7kg/m³ () (c) An unknown hacieus has twice the volume of 56Fe. What is the mass number A of this nucleus? Enter a number iElement X has 3 isotopes. One of the isotopes has a mass of 59.5 with an abundance of 43.3%. Another isotope with a mass of 63.8 and an abundance of 38.6%. The final isotope is 18.1% abundant with a mass of 67. Calculate the average Atomic Mass of element X. Give your answer to the nearest tenth (one decimal).
- Carbon-14 is an isotope of carbon that is formed when radiation from the sun strikes ordinary carbon dioxide in the atmosphere. Plants such as trees, which get their carbon dioxide from the atmosphere, therefore contain a small amount of carbon-14. Once a particular part of a plant has been formed, no more new carbon 14 is taken in. The carbon 14 in that part of the plant decays slowly. Let P be the percent of carbon-14 remaining in a part of a tree that grew t years ago (so t years ago, there was 100 percent of the carbon-14 existing in that part of the tree). Write the particular equation expressing P in terms of t. You may assume that the half-life of carbon-14 is 5730 years. a.) A piece of wood some believe to have come from Noah's Ark has 47.93% of its carbon-14 remaining. The Great Flood was supposed to have occurred in 4004 B.C. Is this piece of wood old enough to have come from Noah's Ark? Justify your answer. b.)The mass numbers of two isotopes of cobalt are 59 and 60. (a) How many protons and how many neutrons are in each isotope? (b) How many orbiting electrons does an atom of each have when the atoms are electrically neutral?Lithium has only two naturally occuring isotopes: lithiumi-6 and lithium-7. Lithium-6 has a mass of 6.01512 and makes up 7.42 percent of all naturally occuring lithium. Lithium-7 has a mass of 7.016 and makes up the remaining 92.58 percent. What is the atomic mass of lithium?
- Element X has 2 isotopes. One of the isotopes has a mass of 18.9 with an abundance of 75.4%. The second isotope with a mass of 20.2 and an abundance of 24.6%. Calculate the average Atomic Mass of element X. Give your answer to the nearest tenth (one decimal).One isotope contains an equal number of protons and neutrons, another isotope of the same element has twice the number of neutrons as the first isotope does. What is the ratio of the atomic mass of the first isotope to that of the second?The nucleus of a particular isotope of beryllium contains 4 protons and 5 neutrons. Which of the following isotopes has a nucleus that has a radius that is approximately 3 times that of the beryllium isotope? 243 Pu 3A1 Mg 135 Ba
- Elemental carbon has 6 protons and 6 neutrons. This is often described as carbon-12. Carbon-13 has 6 protons and 7 neutrons, while carbon-14 has 6 protons and 8 neutrons. Based on the trend with carbon and the fact that plutonium has 94 protons, how many neutrons are in radioactive plutonium-244? O 102 neutrons O 108 neutrons O 150 neutrons O 338 neutrons Next Submit Save and Exit Mark this and return m/ContentViewers/AssessmentViewer/Activit. פ נi Sign outPolonium, the Period 6 member of Group 6A(16), is a rare radioactive metal that is the only element with a crystal structure based on the simple cubic unit cell. If its density is 9.142 g/cm³,calculate an approximate atomic radius for polonium.In a naturally occurring sample, 19.8% of boron atoms have 5 neutrons and 80.2% have 6 neutrons. What is the mass number of each boron isotope? Sketch a sample of 10 atoms that is nearly representative of a natural sample. What is the average mass of the atoms in your drawing? What is the atomic mass of boron? (Boron-10 has a mass of 10.01294 amu, and boron-11 has a mass of 11.00931 amu.)
