A provider orders 300 mg of a medication that comes in a concentration of 150 mg/3 mL. What volume should be measured for administration?

To determine the correct volume to administer based on the ordered medication and its concentration, you can use dimensional analysis. The provider has ordered 300 mg of the medication, and it is available in a concentration of 150 mg per 3 mL.

First, calculate how many milligrams are contained in 1 mL of the solution:

150 mg / 3 mL = 50 mg/mL.

Next, figure out how many mL are needed to achieve a dose of 300 mg:

300 mg ÷ 50 mg/mL = 6 mL.

This indicates that in order to deliver the ordered dosage of 300 mg, a volume of 6 mL of the medication should be measured for administration. This concise calculation confirms that measuring 6 mL corresponds accurately to the provider's order.