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Chapter 23: Problem 166

The nurse has an order to administer meperidine (Demerol) \(75 \mathrm{mg}\) IM for pain. The drug is available Demerol \(100 \mathrm{mg}\) in \(2 \mathrm{mLs}\). How many \(\mathrm{mL}(\mathrm{S})\) will the nurse administer? A. \(1.0 \mathrm{~mL}\) B. \(1.3 \mathrm{~mL}\) C. \(1.5 \mathrm{~mL}\) D. \(1.7 \mathrm{~mL}\)

Short Answer

Expert verified
Answer: 1.5 mL

Step by step solution

01

Identify the known and unknown quantities

The known quantities are: - The required dosage is 75 mg - The available concentration is 100 mg in 2mL The unknown quantity: the amount of solution to administer in mL.
02

Set up a proportion equation

A proportion equation can be set up according to the problem. Since we know that 100 mg corresponds to 2 mL of the solution, and we want to find out the volume equivalent to 75 mg, we write the proportion as follows: \[\frac{100mg}{2mL} = \frac{75mg}{xmL}\] Where \(x\) is the unknown quantity to be found, which is the volume of the solution to be administered to the patient.
03

Solving the proportion equation

Cross-Multiply and solve for \(x\) to find out the volume that would contain 75 mg of meperidine: \[100mg * xmL = 75mg * 2mL\] \[100x = 150\] \[x = \frac{150}{100}\] \[x = 1.5 mL\]
04

Choose the answer

According to the calculation, 1.5 mL of the given solution will provide the required 75 mg of meperidine. Therefore, the correct answer is (C) \(1.5 \mathrm{mL}\)

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