A medication order calls for 750 mg from a solution with 300 mg/5 mL. How much volume should be given to the patient?

To determine the correct volume to be administered, start by calculating the concentration of the medication in the solution, which is 300 mg in 5 mL. This means for every 5 mL, there are 300 mg of the medication available.

Next, set up a proportion to find out how much volume is needed to provide the required 750 mg:

1. Establish the ratio of the available medication to the required dosage:

• 300 mg corresponds to 5 mL.

• To find out how many mL correspond to 750 mg, you can set up a conversion factor based on these known amounts.

2. Use the formula:

[

\text{Volume} = \left( \frac{\text{Desired dose in mg}}{\text{Dose per mL}} \right) = \left( \frac{750 \text{ mg}}{300 \text{ mg/5 mL}} \right)

]

3. First find the concentration per mL:

• 300 mg / 5 mL = 60 mg/mL.

4. Now calculate how much mL are needed to obtain 750 mg:

[

\text{Volume