One of the byproducts of nuclear power generation is Uranium-233. Uranium is decaying at a constant 57% rate per day. If 3,820 pounds are produced from a power plant, what will the amount be in 15 days?

1 Answer

  • Given that the rate of Uranium decay is 57%, this means that after each day, only 0.43 of the mass from the prior day is left. The equation that would best represent the scenario is,
                                        a(t) = a₁(0.43^t)
    where a(t) is the mass after t days and t is the number of days. Substituting,
                                        a(t) = 3,280(0.43^15) 
                                               = 0.01 lbs.