Half-life and the radioactive decay rate constant l are inversely proportional which means the shorter the half-life the larger l and the faster the decay. 15 A 0693 t 1 2 N. It can be expressed by the formula ya 1-bx wherein y is the final amount a is the original amount b is the decay factor and x is the amount of time that has passed.
1 AA_0 2-tT_12 A.
The term is also used more generally to characterize any type of exponential or non-exponential decay. Lets say that k is equal to well k were putting a minus in front of it so Ill say the k value is a positive 005. Displaystyle frac dNdt-lambda N The solution to this equation is. Half-life and the radioactive decay rate constant l are inversely proportional which means the shorter the half-life the larger l and the faster the decay.