Homework SourseConsider a 10 gram sample of radium226 whose half life is ab
Consider a 10 gram sample of radium-226 whose half life is about 1600 years. Algebraically determine how many years would it take for the 10 gram sample to decay to 3.5 gram?
Consider a 10 gram sample of radium-226 whose half life is about 1600 years. Algebraically determine how many years would it take for the 10 gram sample to decay to 3.5 gram?
Solution
Dear Student Thank you for using Chegg !! Given a sample of radium 226 Half Life (T1/2) = 1600 years Amount given to patient (A0) = 10 gram Time (t) = ? hours Final quantity after t time = 3.5 gram Formula A = A0 e-(0.693t / T1/2) Where, A - Final Activity A0 - Initial Activity t - Radiation Decay Time T1/2 - Isotope Half-life 3.5 = 10*exp(-0.693t/1600) Taking natural logarithm -1.049822124 = -0.693t/1600 t = 2423.831745 years Solution
