A physician prescribes 400 mg of an antibiotic. The concentration of a drug Is Indicated as 200 mg/mL on the bottle. Which of the following Is the most appropriate volume of the antibiotic to draw?
2.0 mL of the antibiotic is the most appropriate volume to draw.
To determine the correct volume, we can use the concentration provided (200 mg/mL) to calculate how much volume is needed to achieve the prescribed dose of 400 mg. Dividing the dose by the concentration gives us the necessary volume: 400 mg ÷ 200 mg/mL = 2.0 mL.
Drawing 0.5 mL would only provide 100 mg of the antibiotic (0.5 mL × 200 mg/mL), which is significantly less than the prescribed 400 mg. This volume would be inadequate for the treatment.
A volume of 1.5 mL would yield 300 mg of the antibiotic (1.5 mL × 200 mg/mL). While closer, this amount still falls short of the required 400 mg and would not meet the physician's prescription.
As calculated, 2.0 mL corresponds to the full 400 mg dosage (2.0 mL × 200 mg/mL). This is the precise volume needed to fulfill the prescription and ensure effective treatment.
Drawing 3.0 mL would provide 600 mg of the antibiotic (3.0 mL × 200 mg/mL), which exceeds the prescribed dose of 400 mg. This could lead to unnecessary and potentially harmful overdosage.
Similarly, 4.0 mL would deliver 800 mg of the antibiotic (4.0 mL × 200 mg/mL), far exceeding the necessary 400 mg. Such an overdose could pose significant risks to the patient.
The calculation confirms that 2.0 mL is the exact volume needed to deliver the prescribed 400 mg of the antibiotic, based on the concentration provided. Selecting any other volume would either result in an insufficient dose or an overdose, underscoring the importance of precise dosing in medical prescriptions.
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