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

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

• A. 10 mL
• B. 12.5 mL
• C. 15 mL
• D. 5 mL

Answer: (B)

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

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