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allochka39001 [22]
4 years ago
8

The? half-life of a certain tranquilizer in the bloodstream is 4242 hours. how long will it take for the drug to decay to 8686?%

of the original? dosage? use the exponential decay? model, upper a equals upper a 0 e superscript kta=a0ekt?, to solve.
Chemistry
1 answer:
Kitty [74]4 years ago
6 0

For this problem, we use the formula for radioactive decay which is expressed as follows:<span>

An = Aoe^-kt

where An is the amount left after time t, Ao is the initial amount and k is a constant. 

We calculate as follows:

An = Aoe^-kt
0.5 = e^-k(42 hrs)
k = 0.0165 / hr

An = Aoe^-kt
.86 =e^-0.0165(t)
<span>t = 9.14 hrs</span></span>

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