An order is received for 900 mg of medication from a vial labeled 500 mg/5 mL. What is the correct volume to administer?

An order is received for 900 mg of medication from a vial labeled 500 mg/5 mL. What is the correct volume to administer?

• A. 5 mL
• B. 10 mL
• C. 15 mL
• D. 20 mL

Answer: (B)

To determine the correct volume of medication to administer, it's essential to understand how to convert the ordered dose into the corresponding volume based on the concentration provided. The vial has a concentration of 500 mg in 5 mL. To find out how many milliliters contain the ordered 900 mg, you can set up a proportion based on the known concentration. 1. First, calculate the amount of medication in 1 mL by dividing the total milligrams by the volume in mL: \[ \frac{500 \text{ mg}}{5 \text{ mL}} = 100 \text{ mg/mL} \] 2. Next, determine how many milliliters are needed for 900 mg by dividing the ordered dose by the concentration: \[ \frac{900 \text{ mg}}{100 \text{ mg/mL}} = 9 \text{ mL} \] 3. The next step is to find out how much volume that represents from the vial. Since 900 mg is equal to 9 mL when using the established concentration, one can see that: If 100 mg is in 1 mL, then: \[

To determine the correct volume of medication to administer, it's essential to understand how to convert the ordered dose into the corresponding volume based on the concentration provided.

The vial has a concentration of 500 mg in 5 mL. To find out how many milliliters contain the ordered 900 mg, you can set up a proportion based on the known concentration.

1. First, calculate the amount of medication in 1 mL by dividing the total milligrams by the volume in mL:

[

\frac{500 \text{ mg}}{5 \text{ mL}} = 100 \text{ mg/mL}

]

2. Next, determine how many milliliters are needed for 900 mg by dividing the ordered dose by the concentration:

[

\frac{900 \text{ mg}}{100 \text{ mg/mL}} = 9 \text{ mL}

]

3. The next step is to find out how much volume that represents from the vial. Since 900 mg is equal to 9 mL when using the established concentration, one can see that:

If 100 mg is in 1 mL, then:

[