Questions: 28. A biologic contains 50 Lf units of diphtheria toxoid in each 2.5 mL of product. If a pediatric patient is to receive 10 Lf units, how many mL of products should be administered?

Solution Steps

To determine how many mL of the product should be administered to deliver 10 Lf units, we can set up a proportion based on the given concentration of the biologic. We know that 50 Lf units are contained in 2.5 mL. We need to find the volume (in mL) that contains 10 Lf units. By setting up a proportion and solving for the unknown volume, we can find the answer.

The concentration of diphtheria toxoid in the biologic is given as $50 \, \text{Lf units}$ in $2.5 \, \text{mL}$. To find the concentration in Lf units per mL, we calculate:

$$\text{Concentration} = \frac{50 \, \text{Lf units}}{2.5 \, \text{mL}} = 20 \, \text{Lf units/mL}$$

We need to find the volume $V$ in mL that contains $10 \, \text{Lf units}$. Using the concentration we found, we set up the equation:

$$V = \frac{\text{Required Lf units}}{\text{Concentration}} = \frac{10 \, \text{Lf units}}{20 \, \text{Lf units/mL}}$$

Now we perform the calculation:

$$V = \frac{10}{20} = 0.5 \, \text{mL}$$

Final Answer