15. An IV infusion is administered to a 120 lb patient by IV infusion at a rate of 1.8 mg/kg/hr. The drug has a half-life of 8 hours and distributes into a volume of 15 L. a) Find the concentration function C(t) while the infusion is being administered. b) Find the loading dose required to make C(1) a constant if the infusion continues. c) If the loading dose from part b is given followed by 24 hours of infusion at 1.8 mg/kg/hr, graph the concentration for the first 48 hours. d) If the loading dose from part b is given followed by 24 hours of infusion at 1.8 mg/kg/hr, how long will the concentration remain within the therapeutic window of 50-100 mcg/ml?

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15. An IV infusion is administered to a 120 lb patient by IV infusion at a rate of 1.8
mg/kg/hr. The drug has a half-life of 8 hours and distributes into a volume of 15 L.
a) Find the concentration function C(t) while the infusion is being administered.
b) Find the loading dose required to make C(1) a constant if the infusion continues.
c) If the loading dose from part b is given followed by 24 hours of infusion at 1.8
mg/kg/hr, graph the concentration for the first 48 hours.
d) If the loading dose from part b is given followed by 24 hours of infusion at 1.8 mg/kg/hr,
how long will the concentration remain within the therapeutic window of 50-100 mcg/ml?
Transcribed Image Text:15. An IV infusion is administered to a 120 lb patient by IV infusion at a rate of 1.8 mg/kg/hr. The drug has a half-life of 8 hours and distributes into a volume of 15 L. a) Find the concentration function C(t) while the infusion is being administered. b) Find the loading dose required to make C(1) a constant if the infusion continues. c) If the loading dose from part b is given followed by 24 hours of infusion at 1.8 mg/kg/hr, graph the concentration for the first 48 hours. d) If the loading dose from part b is given followed by 24 hours of infusion at 1.8 mg/kg/hr, how long will the concentration remain within the therapeutic window of 50-100 mcg/ml?
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