Problem

The client is in pain. The physician's order is for Demerol 65 milligrams every 4 hours IM as needed for pain. The Demerol label reads 60 milligrams in 2 milliliter.
How many milliliters should be given?

Answer

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Answer

Final Answer: The client should be given approximately \(\boxed{2.17}\) milliliters of Demerol.

Steps

Step 1 :The client is in pain. The physician's order is for Demerol 65 milligrams every 4 hours IM as needed for pain. The Demerol label reads 60 milligrams in 2 milliliter.

Step 2 :The question is asking for a conversion of milligrams of Demerol to milliliters. We know that 60 milligrams of Demerol is equivalent to 2 milliliters. We need to find out how many milliliters is equivalent to 65 milligrams. This is a simple ratio problem that can be solved by setting up a proportion and solving for the unknown.

Step 3 :Let's denote the amount of milligrams ordered as \(mg_{ordered}\) and the amount of milligrams per milliliter as \(mg_{per ml}\). We have \(mg_{ordered} = 65\) and \(mg_{per ml} = 30.0\).

Step 4 :We can calculate the amount of milliliters to give, \(ml_{to give}\), by dividing the amount of milligrams ordered by the amount of milligrams per milliliter. This gives us \(ml_{to give} = \frac{mg_{ordered}}{mg_{per ml}} = \frac{65}{30.0} = 2.1666666666666665\).

Step 5 :Rounding to two decimal places, we find that 65 milligrams of Demerol is equivalent to approximately 2.17 milliliters. This is the amount that should be given to the client.

Step 6 :Final Answer: The client should be given approximately \(\boxed{2.17}\) milliliters of Demerol.

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