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Final answer:Mercury-202 has 122 neutrons in its nucleus. The number of neutrons is calculated by subtracting the atomic number of mercury, which is 80, from the mass number of the isotope, which is 202.Explanation:The student has asked about the number of neutrons in the nucleus of Mercury-202 (Hg-202). The atomic number of mercury (Hg) is 80, which means it has 80 protons. For Mercury-202, the mass number is 202. The mass number is the sum of protons and neutrons in the nucleus.Therefore, to find the number of neutrons, we subtract the number of protons from the mass number: Number of neutrons = mass number - atomic number, Number of neutrons = 202 - 80, Number of neutrons = 122. Therefore, Mercury-202 has 122 neutrons within its nucleus, making the correct answer (c) 122....