Questions: The nurse practitioner orders 750 mg of an antibiotic PO twice a day. The drug comes as an oral suspension labeled 1.5 g in each ounce. How many milliliters will the patient receive with each dose? Enter only the numeral (not the units of measurement) in your answer.

Solution Steps

The prescribed dosage is \( 750 \, \text{mg} \). To convert this to grams, we use the conversion factor \( 1 \, \text{g} = 1000 \, \text{mg} \): \[ \text{Dose in grams} = \frac{750 \, \text{mg}}{1000} = 0.75 \, \text{g} \]

The concentration of the antibiotic is \( 1.5 \, \text{g/oz} \). To find the volume in ounces that corresponds to the prescribed dose, we use the formula: \[ \text{Volume in ounces} = \frac{\text{Dose in grams}}{\text{Concentration in grams per ounce}} = \frac{0.75 \, \text{g}}{1.5 \, \text{g/oz}} = 0.5 \, \text{oz} \]

To convert the volume from ounces to milliliters, we use the conversion factor \( 1 \, \text{oz} = 29.5735 \, \text{mL} \): \[ \text{Volume in milliliters} = 0.5 \, \text{oz} \times 29.5735 \, \text{mL/oz} = 14.78675 \, \text{mL} \] Rounding this to four significant digits gives us \( 14.79 \, \text{mL} \).

Final Answer