Final answer:
The estimated maximum concentration of the antibiotic is approximately 0.099 mg/mL.
Step-by-step explanation:
The question asked is about calculating the estimated maximum concentration (Cmax) of an antibiotic in a patient's bloodstream after an intravenous (IV) bolus infusion. To find the estimated Cmax of the antibiotic, we can use the following formula:
Cmax = Dose / Vd
where Cmax is the maximum concentration, Dose is the amount of drug administered, and Vd is the volume of distribution.
In this case, the patient weighs 61 kg and the drug's volume of distribution is estimated as 6.9 L/kg. The dose of the antibiotic to be administered is 378 mg. Therefore, we can calculate the Cmax as follows:To find the estimated maximum concentration of the antibiotic, we need to use the formula:
Max Concentration = Dose / Volume of Distribution
Given the dose of the antibiotic is 378mg and the volume of distribution is 6.9 L/kg, we can calculate:
Max Concentration = 378mg / (6.9 L/kg * 61kg)
By simplifying the expression and performing the calculation, we find that the estimated maximum concentration of the antibiotic is approximately 0.099 mg/mL.