Questions: Activity 6: A drug product has 0.075% active drug. If the dose is one-half (1/2) teaspoonful four times a day for ten days, how many milligrams will the patient consume in total?

Solution Steps

To solve this problem, we need to calculate the total amount of active drug consumed over the specified period. First, determine the volume of one dose in milliliters, then calculate the total volume consumed over ten days. Next, find the amount of active drug in that total volume using the given percentage concentration. Finally, convert the amount from grams to milligrams.

The total volume consumed over ten days can be calculated as follows:

\[ \text{Total Volume} = \text{Dose Volume} \times \text{Doses per Day} \times \text{Days} \]

Substituting the values:

\[ \text{Total Volume} = 2.5 \, \text{ml} \times 4 \times 10 = 100.0 \, \text{ml} \]

Next, we calculate the total amount of active drug in grams using the concentration:

\[ \text{Total Active Drug (g)} = \text{Total Volume (ml)} \times \text{Concentration} \]

Substituting the values:

\[ \text{Total Active Drug (g)} = 100.0 \, \text{ml} \times 0.00075 = 0.075 \, \text{g} \]

Finally, we convert the total active drug from grams to milligrams:

\[ \text{Total Active Drug (mg)} = \text{Total Active Drug (g)} \times 1000 \]

Substituting the value:

\[ \text{Total Active Drug (mg)} = 0.075 \, \text{g} \times 1000 = 75.0 \, \text{mg} \]

Final Answer