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How many milliliters of an injection containg 1 mg of drug per milliliter of injection should be adminstered to a 6-month-old child weighing 16 Ibs. to achieve a subcutaneous dose of 0.01 mg/kg?

1 Answer

4 votes

Answer:

0.0726mL

Explanation:

Let's find the answer by using the following formula:

(subcutaneous dose)=(milliliters of the injection)*(drug concentration)/(child weight)

Using the given data we have:

(0.01mg/kg)=(milliliters of the injection)*(1mg/mL)/(16lbs)

milliliters of the injection=(0.01mg/kg)*(16lbs)/(1mg/mL)

Notice that the data has different units so:

1kg=2.20462lbs then:

16lbs*(1kg/2.20462lbs)=7.25748kg

Using the above relation we have:

milliliters of the injection=(0.01mg/kg)*(7.25748kg)/(1mg/mL)

milliliters of the injection=0.0726mL

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