SOLUTION: Help with this half-life / log problem ?
keeping in mind the equation C(t) = Co e ^ (r x t)
it reads
The average half-life elimination of Ambien would be calculated at app
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Question 900913: Help with this half-life / log problem ?
keeping in mind the equation C(t) = Co e ^ (r x t)
it reads
The average half-life elimination of Ambien would be calculated at approximately 12.5 hours. If someone is given a standard dose of Ambien of 10mg/L, find a model that describes the concentration of the Ambien drug in the bloodstream. Round your answer to the nearest thousandth
My teacher helped me set up the equation
5 = 10e ^ (-r x 12.5)
you rearrange it
C = 10e ^ - ( r x t )
My question is, how do you find r and do the model they are asking for?
thank you
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Your general model in better notation is .
You will want to know the value for r, and you use the half-life fact to find r.
First, solve symbolically for r , and second, use with half-life time.
Substitute the values for half-life:
, you would use relative values for the concentrations; knowing is HALF of
when the half-life time has passed.
The value for the decay constant, ;
Notice that r is NEGATIVE.
The decay model for Ambien: .
If your standard dose is 10 mg/L, then the model for decay can be specifically written
.
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