Arizona State University COLLEGE OF LIBERAL ARTS AND SCIENCES
DEPARTMENT OF GEOLOGICAL SCIENCES

 

Radiometric Dating: Finding the Age of the Earth

Question 2.  Suppose that in an isotope system, the parent decays into the daughter, and there was no daughter atoms present initially. What is the ratio of daughter atoms to parent atoms at time t?

Solution: First, solve the basic decay equation for P0,


img

Now let D(t) denote the number of daughter atoms at time t. The number of daughter atoms at time t is equal to the number of parent atoms present initially minus the number of parent atoms at time t, so  


img