Question

a client receives a prescription for tobramycin sulfate 0.128 grams po every 8 hours. tobramycin sulfate is available in liquid concentration of 40 mg/ml. how many ml should the nurse administer? (enter numerical value only. if rounding is required, round to the nearest tenth.)

Explanation:

Step1: Convert grams to milligrams

We know that 1 gram = 1000 milligrams. So, to convert 0.128 grams to milligrams, we multiply by 1000.
$0.128\ \text{grams} \times 1000 = 128\ \text{mg}$

Step2: Use the concentration formula to find volume

The concentration is given as 40 mg/mL, which means $\text{Concentration} = \frac{\text{Mass}}{\text{Volume}}$. Rearranging for volume, we get $\text{Volume} = \frac{\text{Mass}}{\text{Concentration}}$.
Substituting the values, $\text{Mass} = 128\ \text{mg}$ and $\text{Concentration} = 40\ \text{mg/mL}$.
$\text{Volume} = \frac{128\ \text{mg}}{40\ \text{mg/mL}} = 3.2\ \text{mL}$

Answer:

3.2