Question

The physician orders a drug 60 mcg kg po daily. The client weighs 90 kg. The medication is supplied 0.6 mg mL. How many mL should you​ administer? 1. Show your work using dimensional analysis. 2. Write a sentence that puts your answer into the context of the problem.

Answer 1

1-

The dose prescribed is 60 mcg/kg.

Initially we have to convert the different units in the given question to a single unit.

So let's convert mcg to mg.

60÷1000 mcg = 0.06 mg

60 mcg = 0.06 mg

As per the question,for every kilogram of the patient's weight,we will need 0.06 mg of drug.

In this question,patient's weight is 90 kg.

Therefore this patient will need 90 lots of 0.06 mg of drug,that is we simply multiply the dose by the patient's weight.

​​​​​​0.06 × 90 = 5.4 mg

Thus the patient will need a total dose of 5.4 mg daily .

Now,it is given that the available medication is 0.6 mg/ml.

So,we have to calculate how much ml to be administered.

The answer involves finding how many 0.6 are the in 5.4.

5.4 ÷ 0.6 = 9 ml

A formula can be derived:

​​​​​​ml to administer = amt prescribed ÷ available amt.

So, 9 ml should be administered.

2-

9 ml of the medication is to be administered to the patient to attain a dose prescribed by the physician.