leannawalton7261 leannawalton7261

08-11-2017
Health

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Soon after taking an aspirin, a patient has absorbed 300 mg of the drug. if the amount of aspirin in the bloodstream decays exponentially, with half being removed every 2 hours, find, to the nearest 0.1 hour, the time it will take for the amount of aspirin in the bloodstream to decrease to 125 mg.

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jorel1380 jorel1380

12-11-2017

P(t)=P(0)e^-kt
For half-life:
.5=e^-2k
ln .5=ln e^-2k=-2k ln e=-2k
k=0.34657359027997265470861606072909
125/300=e^-0.34657359027997265470861606072909t
ln 0.41666666666666666666666666666667=ln e^-0.34657359027997265470861606072909t= -0.34657359027997265470861606072909t ln e=-0.34657359027997265470861606072909t
t=2.526 hours
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