If H(t) is the amount in (mg) of Heparin in a patient, at time t. The patient is being dosed at a rate of 4 mg/hour, and the Heparin is broken down with a half-life of 1.4 hours in the body. Which of the following is true? Hint: use the balance law: dH dt dH dt dH dt = 4-e - - dH - dt = Net rate of change = rate in rate out e-0.5t 4t - 0.5H 4 - 0.5H 4t-e-0.5t

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Chapter1: Chemical Foundations
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If H (t) is the amount in (mg) of Heparin in a patient, at time t. The patient is being
dosed at a rate of 4 mg/hour, and the Heparin is broken down with a half-life of 1.4
hours in the body.
Which of the following is true?
Hint: use the balance law:
dH
dt
dH
dt
=
dH
dt
dH -
dt
4 — e-0.5t
= 4t - 0.5H
Net rate of change = rate in - rate out
4 - 0.5H
= 4t
e
-0.5t
Transcribed Image Text:If H (t) is the amount in (mg) of Heparin in a patient, at time t. The patient is being dosed at a rate of 4 mg/hour, and the Heparin is broken down with a half-life of 1.4 hours in the body. Which of the following is true? Hint: use the balance law: dH dt dH dt = dH dt dH - dt 4 — e-0.5t = 4t - 0.5H Net rate of change = rate in - rate out 4 - 0.5H = 4t e -0.5t
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