Q. 2.113 - An Introduction to General, Organic, and Biological Chemistry

Question

A doctor orders $5.0 \mathrm{mL}$ of phenobarbital elixir, If the phenobarbital elixir is available as $30, mg per$ $7.5\mathrm{ml}$. how many milligrams is given to the patient? (2.6)

Step-by-Step Solution

Answer

The amount of phenobarbital exilir given to the patients is determined as $20 mg$

Step 1 : Given Information

The given is the order made by the doctor for phenobarbital exilir.

The objective is to determine the amount of phenobarbital exilir given to the patients.

Amount of phenobarbital elixir that is ordered : 5 mL.

Amount that is available at 30 is 7.5 mL. 

Step 2 : Explanation

The equality from the availability of phenobarbital elixir $30.\mathrm{mg}$ per $7.5 \mathrm{mL}$ is as follows:

$30$ $\mathrm{mg}$ phenobarbital elixir $=7.5 \mathrm{mL}$ phenobarbital elixir

Thus, the conversion factors will be as follows:

$\frac{30.\mathrm{mg}\text{ phenobarbital elixir }}{7.5 \mathrm{mL}\text{ phenobarbital elixir }}$ and $\frac{7.5 \mathrm{mL}\text{ phenobarbital elixir }}{30.\mathrm{mg}\text{ phenobarbital elixir }}$

Step 3 : Explanation

The desired conversion factor is as follows:

$\frac{30.\mathrm{mg}\text{ phenobarbital elixir }}{7.5 \mathrm{mL}\text{ phenobarbital elixir }}$

Calculate the micrograms of the desired substance using the desired conversion factor. phenobarbital elixir in $5.0 \mathrm{mL}$ of phenobarbital elixir.

$5.0$ mL phenobarbital elixir $\times \frac{30.\mathrm{mg}\text{ phenobarbital elixir }}{7.5 \mathrm{mL}\text{ phenobarbital elixir }}=20.\mathrm{mg}$ phenobarbital elixir