Which of the following nuclei would be the most stable?A.70 protons, 98 neutronsB.70 protons, 94 neutronsC.70 protons, 87 neutronsD.70 protons, 91 neutrons
Question
Which of the following nuclei would be the most stable?
- A. 70 protons, 98 neutrons
- B. 70 protons, 94 neutrons
- C. 70 protons, 87 neutrons
- D. 70 protons, 91 neutrons
Solution
The stability of a nucleus is determined by the ratio of neutrons to protons. The closer this ratio is to 1, the more stable the nucleus is.
A. 70 protons, 98 neutrons - ratio is 98/70 = 1.4 B. 70 protons, 94 neutrons - ratio is 94/70 = 1.34 C. 70 protons, 87 neutrons - ratio is 87/70 = 1.24 D. 70 protons, 91 neutrons - ratio is 91/70 = 1.3
Therefore, the nucleus with 70 protons and 87 neutrons (Option C) would be the most stable as it has the ratio closest to 1.
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