Homework SourseThe rate of decay of a radioactive substance is proportional
The rate of decay of a radioactive substance is proportional to the amount of substance present. What is the half-life of a radioactive substance if it takes 3 years for one-third of the substance to decay?
Solution
dx/dt = k(A - x) ln|A-x| = -kt : A - A/3 = e^(-k3) : ln|2A/3| = -3k A/2 = e^(-kt) 3ln|A/2| = -kt = t*ln|2A/3| : calculate youtself remove A
