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why is decay exponential. Final amount remaining after the decay over a period of time. The figure above is an example of exponential decay.
In fact there are theoretical reasons why exponential decay is the only model that really makes sense. The description of why atoms decay is quite complicated involving quantum mechanics and nuclear physics. We can easily find an expression for the chance that a radioactive atom will survive be an original element atom to at least a time t.
N N 0 e l t displaystyle NN_0e-lambda t where N is the quantity at time t N0 N is the initial.
We can easily find an expression for the chance that a radioactive atom will survive be an original element atom to at least a time t. In exponential decay the value of the dependent variable y decreases at a constant percentage rate as the value of the independent variable x or t increases. Given an original sample of carbon-14 of 100g the table shows the mass remaining after each half-life. Every radioactive isotope has a half-life and the process describing the exponential decay of an isotope is called radioactive decay.