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A vial for the preparation of 100 mL of an injection of the drug alteplase (ACTIVASE) contains 100 mg of drug, equivalent to 58 million international units, to be administered by intravenous infusion.

Calculate:

(a) The units administered to a 176-lb patient at a dose of 0.9 mg/kg.

(b) The milliliters of injection to use.

Answer :

Final answer:

To calculate the units and milliliters of injection for the drug alteplase (ACTIVASE), multiply the specified dose by the patient's weight and apply the known concentration of the drug in the vial.

Explanation:

To calculate the units administered to a 176-lb patient, you first need to convert the weight to kilograms. Since 1 lb is equal to 0.4536 kg, the patient's weight in kilograms would be 80 kg. The dose is given as 0.9 mg/kg, so to calculate the units administered, you multiply the dose by the patient's weight in kilograms:

Units administered = 0.9 mg/kg × 80 kg = 72 million international units

To calculate the milliliters of injection to use, you can set up a proportion using the known concentration of the drug in the vial (100 mg/58 million international units) and the desired concentration of the drug (0.9 mg/kg):

Milliliters of injection = (0.9 mg/kg × 80 kg) × (58 million international units/100 mg) = 46.56 mL

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