Question

Difficulty: MediumPharmacological Therapies

A provider prescribes cefazolin 300 mg300\text{ mg} deep intramuscularly for a client treating a cellulitis infection. The supply on hand is a 500 mg500\text{ mg} vial of powdered cefazolin. The label instructions read: 'Reconstitute by adding 2.0 mL2.0\text{ mL} of sterile water for injection. The resulting reconstituted solution contains 225 mg/mL225\text{ mg/mL} of cefazolin.' Determine the volume in milliliters required for a single dose. (Record answer to the nearest tenth. Do not include units in answer.)

Answer: 1.3 mL

Answer

1.3
The correct volume is determined by using the final reconstituted concentration of 225 mg/mL225\text{ mg/mL}. By applying the formula (Desired Dose / Available Concentration) × Volume, the calculation is (300 mg/225 mg)×1 mL=1.333... mL(300\text{ mg} / 225\text{ mg}) \times 1\text{ mL} = 1.333...\text{ mL}. Rounding to the nearest tenth yields 1.3 mL1.3\text{ mL}. The values 500 mg500\text{ mg} and 2.0 mL2.0\text{ mL} are distractors.

Step-by-Step Solution

1
Identify the desired dose and the available medication concentration from the problem statement.
Desired dose = 300 mg300\text{ mg}; Available concentration = 225 mg/mL225\text{ mg/mL}.
Correctly isolating the final yield concentration is critical, as the diluent volume (2.0 mL2.0\text{ mL}) and total powder mass (500 mg500\text{ mg}) are extraneous information meant to test the nurse's ability to extract relevant clinical data.
2
Apply standard dosage calculation principles to determine the volume.
300 mg225 mg×1 mL=1.333... mL\frac{300\text{ mg}}{225\text{ mg}} \times 1\text{ mL} = 1.333...\text{ mL}
Dividing the prescribed dose by the concentration on hand provides the exact volume of liquid needed to deliver the correct mass of the drug.
3
Round the calculated volume to the nearest tenth.
1.31.3
Rounding rules for standard medication administration dictate that volumes greater than 1 mL1\text{ mL} should be rounded to the nearest tenth to ensure accurate measurement in a standard syringe.

Key Concept

Reconstituted Medication Dosage Calculation
Rate this question