Final answer:
The patient will receive 0.75 mL of the medication daily. To determine this volume, a conversion from micrograms to milligrams was performed followed by utilizing the provided medication concentration to calculate the volume.
Step-by-step explanation:
To calculate the volume of medication that a patient will receive, a conversion from micrograms to milligrams and then to milliliters must be performed based on the concentration provided. In this case, the doctor has ordered 75 mcg and the drug is available in a concentration of 0.5 mg per 5 mL. First, convert the doctor’s order from micrograms to milligrams:
75 mcg = 0.075 mg (since 1 mg = 1000 mcg)
Next, calculate the volume needed using the concentration of the drug:
0.5 mg in the vial corresponds to 5 mL.
So, for every 0.5 mg, we have 5 mL. We can set up a proportion to find out how many mL will correspond to 0.075 mg:
0.5 mg : 5 mL :: 0.075 mg : X mL
Cross-multiply and solve for X:
(0.5 mg) * X mL = (5 mL) * (0.075 mg)
X = (5 mL * 0.075 mg) / 0.5 mg
X = 0.75 mL
Therefore, the patient will receive 0.75 mL of the medication intramuscularly (IM) daily.