Question

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

Short answer

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

Step-by-step solution

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.

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

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