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Q = Q0e−5t

 May 11, 2023
 #1
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Sloppy equation !  What is the "0" between Q and e doing there ?

 

1 - Half-life: 1/2Q = Q  *  e^(-5t), solve for t

                       1/2    = 1    *  e^(-5t)

                       1/2    = e^(-5t)

Take the natural log of both sides 

                       t = ln(2) / 5 ≈0.138629 - this is the half-life of Q in seconds, or minutes or hours, days, years...etc.

 

 

2 - Doubling Period:  This does NOT make sense the way you have your equation written, because it will give you the value of t = 0

 May 11, 2023

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