Questions: Order: Phenobarbital 100 mg po at bedtime Supply: Phenobarbital elixir 20 mg / 5 mL How many mL will the nurse administer?

Order: Phenobarbital 100 mg po at bedtime
Supply: Phenobarbital elixir 20 mg / 5 mL
How many mL will the nurse administer?
Transcript text: Order: Phenobarbital 100 mg po at bedtime Supply: Phenobarbital elixir $20 \mathrm{mg} / 5 \mathrm{~mL}$ How many mL will the nurse administer? Enter text here. mL
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Solution

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Solution Steps

Step 1: Determine the Dosage Required

The order is for 100 mg of Phenobarbital to be administered.

Step 2: Determine the Concentration of the Supply

The supply is in the form of an elixir with a concentration of 20 mg per 5 mL.

Step 3: Calculate the Volume Required

To find out how many mL are needed to administer 100 mg, we set up a proportion based on the concentration:

\[ \frac{20 \, \text{mg}}{5 \, \text{mL}} = \frac{100 \, \text{mg}}{x \, \text{mL}} \]

Solving for \(x\), we cross-multiply:

\[ 20x = 100 \times 5 \]

\[ 20x = 500 \]

\[ x = \frac{500}{20} = 25 \]

Final Answer

The nurse will administer \(\boxed{25 \, \text{mL}}\).

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