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?

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?

Transcript text: 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

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.

Step 1: Determine the Concentration

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:

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

Step 2: Set Up the Proportion

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:

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

Step 3: Calculate the Volume

Now we perform the calculation:

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