Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.7 hours, and that the oral dose taken is 8 mg. Write a differential equation for the quantity, Q, of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed. Write your answer in terms of Q, t, and k, e.g., Q' = 3t(1 – kQ). Solve your differential equation, assuming that at t = 0 the patient has just absorbed the full 8 mg dose of the drug. Your solution should include the constant of proportionality k, but should not include any other unspecified constants. Use the half-life to find the constant of proportionality, k. k =

Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.7 hours, and that the oral dose taken is 8 mg. Write a differential equation for the quantity, Q, of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed. Write your answer in terms of Q, t, and k, e.g., Q' = 3t(1 – kQ). Solve your differential equation, assuming that at t = 0 the patient has just absorbed the full 8 mg dose of the drug. Your solution should include the constant of proportionality k, but should not include any other unspecified constants. Use the half-life to find the constant of proportionality, k. k =

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter18: Chemical Kinetics

Section: Chapter Questions

Problem 6P

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