Question

an iv antibiotic order calls for a dose of 500 mg. the pharmacy technician has a 1 g/10 ml vial of medication. which of the following volumes should be added from the vial to the bag to make 500 mg? 2.5 ml 3 ml 5 ml 9 ml

Explanation:

Step1: Convert grams to milligrams

Since $1\ g = 1000\ mg$, the concentration of the vial is $\frac{1000\ mg}{10\ mL}=100\ mg/mL$.

Step2: Calculate the required volume

Let the volume be $V$. We know that concentration $C = 100\ mg/mL$ and mass $m = 500\ mg$. Using the formula $C=\frac{m}{V}$, we can solve for $V$. Rearranging gives $V=\frac{m}{C}$. Substituting the values, $V=\frac{500\ mg}{100\ mg/mL}=5\ mL$.

Answer:

5 mL