The radioactive nuclide 63 Ni decays by a first-order process via the emission o

Question

The radioactive nuclide 63Ni decays by a first-order process via the emission of a beta particle. The 63Ni nuclide has a half-life of 100. years. How long will it take for 89% of 63Ni to decay? Answer 17 years 1.5 years 140 years 7.3 years 320 years The radioactive nuclide 63Ni decays by a first-order process via the emission of a beta particle. The 63Ni nuclide has a half-life of 100. years. How long will it take for 89% of 63Ni to decay? The radioactive nuclide 63Ni decays by a first-order process via the emission of a beta particle. The 63Ni nuclide has a half-life of 100. years. How long will it take for 89% of 63Ni to decay? 17 years 1.5 years 140 years 7.3 years 320 years 17 years 1.5 years 140 years 7.3 years 320 years

Explanation / Answer

k = (2.303/t) log (Ao/A)

A = Ao - 0.89Ao = 0.11Ao

0.693/100 = 2.303/t log(1/0.11)

t = (2.303 * log(100/11) * 100)/0.693 = 318.56 years

Option E is the correct choice

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