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Concentration of the antibiotic in the blood stream

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A liquid antibiotic containing 500 mg of active ingredient is given to a patient with a body fluid of 40 liters. In the stomach, the antibiotic can either be absorbed into the bloodstream through the stomach walls or can be eliminated through the gastrointestinal tract. Both these processes are first order with rate constants of 0.25 h-1 and 0.5 h-1 respectively. The only mechanism for the antibiotic to leave the bloodstream is by elimination through urine. This reaction can also be assumed to be first order with a rate constant of 0.4 h-1. The doctor wants to find out the exact time at which the concentration of this antibiotic in the blood peaks in the patient. Determine this time and the concentration of the antibiotic in the blood stream at this time.

Reference no: EM13884957

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