A 157 lb cancer patient has been prescribed 6 mcg/kg of filgrastim following each session of radiotherapy to reduce the hemolytic effects of the radiation. The drug is available in premixed vials for injection that contain 300 mcg per mL.

What volume of this solution should the patient be given? Round your answer to the nearest 0.1 mL.

To determine the volume of the solution, we calculate the total dose of filgrastim by multiplying the patient's weight by the prescribed dose of 6 mcg/kg. Then, we divide the total dose by the concentration of the solution (300 mcg/mL) to find the volume.

Explanation:

To determine the volume of the solution that should be given to the patient, we need to calculate the total dose of the drug first. Since the patient weighs 157 lb, we need to convert their weight to kilograms by dividing by 2.205 (1 lb = 0.4536 kg). So, the patient weighs approximately 71.21 kg.

Next, we calculate the total dose of filgrastim by multiplying the patient's weight in kilograms by the prescribed dose of 6 mcg/kg. In this case, the total dose is 71.21 kg * 6 mcg/kg = 427.26 mcg.

Now, we need to determine the volume of the premixed vial solution that contains 300 mcg per mL. To do this, we divide the total dose of 427.26 mcg by the concentration of the solution, which is 300 mcg/mL. The result is approximately 1.42 mL. When rounding to the nearest 0.1 mL as instructed, the patient should be given 1.4 mL of the solution.

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