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4. which of the following is the most stable isotope? polonium - 210 ur…

Question

  1. which of the following is the most stable isotope?

polonium - 210 uranium - 237 francium - 227 plutonium - 238
half - life (hr) 3,310 162 0.04 768,000
polonium - 210
uranium - 237
francium - 227
plutonium - 238

Explanation:

Step1: Understand the relationship between half - life and stability

The longer the half - life of an isotope, the more stable it is. Half - life is the time required for half of the atoms of a radioactive substance to decay.

Step2: Compare the half - lives of the given isotopes

  • Polonium - 210 has a half - life of \(3310\) hours.
  • Uranium - 237 has a half - life of \(162\) hours.
  • Francium - 227 has a half - life of \(0.04\) hours.
  • Plutonium - 238 has a half - life of \(768000\) hours.

Since \(768000>3310 > 162>0.04\)

Answer:

Plutonium - 238