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?
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2774c7ea-83b4-4a32-b9c1-836b18fcfdaf%2Fb9dedc30-2ad5-4fe6-8490-ca25b91173d1%2Fn3c5uaj_processed.jpeg&w=3840&q=75)
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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