The half-life of a certain radioactive element is 1250 years. What percent of the atoms remain after 7500 years?

Question

A half life is the amount of time it takes for half of an element to decay

Answer 1

m₀ = original amount

 

m(t) = m₀ (0.5)^t/1250,

 

with t in years.

 

m(7500) = m₀ (0.5)^7500/1250 = m₀ (0.5)⁶ = 0.015625m₀ = 1.5625% of the original amount