A patient is prescribed 0.1 g of theophylline elixir. If the stock concentration is 80 mg/15 mL, what volume should the patient receive?

To determine the correct volume of theophylline elixir that the patient should receive, start by converting all measurements to the same unit for consistency. The dosage prescribed is 0.1 g, which is equivalent to 100 mg (since 1 g = 1000 mg).

Next, the stock concentration of the elixir is provided as 80 mg in 15 mL. To find out how many milligrams are in 1 mL, divide the 80 mg by 15 mL:

[ \text{Concentration per mL} = \frac{80 , \text{mg}}{15 , \text{mL}} = \frac{80}{15} \approx 5.33 , \text{mg/mL} ]

Now, to find out how many mL are needed to obtain 100 mg of theophylline, use the following formula:

[ \text{Volume (mL)} = \frac{\text{Desired Dose (mg)}}{\text{Concentration (mg/mL)}} ]

Substituting the values we have:

[ \text{Volume (mL)} = \frac{100 , \text{mg}}{5.