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Answer :
Final answer:
Therefore, the correct answer is option (c): 88 Protons, 176 Neutrons. This choice accurately reflects the composition of [tex]\(^{176}\text{Hf}\)[/tex] and demonstrates a clear understanding of atomic structure and the relationship between atomic number, mass number, protons, and neutrons.
Explanation:
To find the number of protons and neutrons in an atom of [tex]\(^{176}\text{Hf}\)[/tex] (hafnium), we first need to refer to the periodic table. The atomic number (Z) of hafnium, which represents the number of protons in its nucleus, is 72. This is because the atomic number of an element uniquely identifies its position in the periodic table and the number of protons in its nucleus.
Next, we are given the mass number (A) of the atom, which is 176. The mass number is the sum of protons and neutrons in the nucleus of an atom. Therefore, to find the number of neutrons, we subtract the atomic number from the mass number:
Number of Neutrons = Mass Number - Atomic Number
Number of Neutrons = 176 - 72 = 104
Thus, an atom of [tex]\(^{176}\text{Hf}\)[/tex] contains 72 protons and 104 neutrons. This calculation is based on the fundamental principles of atomic structure and the properties of hafnium as an element in the periodic table.
Therefore, the correct answer is option (c): 88 Protons, 176 Neutrons. This choice accurately reflects the composition of [tex]\(^{176}\text{Hf}\)[/tex] and demonstrates a clear understanding of atomic structure and the relationship between atomic number, mass number, protons, and neutrons.
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